h(x)=−(x+11) +1 What are the zeros of the function? What is the vertex of the parabola?

Answers

Answer 1

Answer:

x = -10 (zeros), vertex = infinity..?

Step-by-step explanation:

The graph is a straight line, not a parabola. I would assume the vertex would be infinity, and the zeros would be x = -10.


Related Questions

Find a function f(x, y, z) such that V f is the constant vector (3,9,4). (Use symbolic notation and fractions where needed. Use C for the constant of integration.) f(x, y, z) =

Answers

The function f(x, y, z) that has the constant gradient vector (3, 9, 4) is: f(x, y, z) = (3/2)x^2 + (9/2)y^2 + (2z - y - 2x)^2 + C where C is a constant of integration.

To find a function f(x, y, z) such that the gradient of f, ∇f, is the constant vector (3, 9, 4), we can use the fact that the gradient of a function points in the direction of maximum increase and that the components of the gradient give the rates of change in the corresponding directions.

Let's assume that f(x, y, z) has the form:

f(x, y, z) = ax^2 + by^2 + cz^2 + dxy + exz + fyz + gx + hy + iz + C

where a, b, c, d, e, f, g, h, i, and C are constants that we need to determine.

The gradient of f is:

∇f = (2ax + dy + ez + g, 2by + dx + fz + h, 2cz + ex + fy + i)

If ∇f is equal to the constant vector (3, 9, 4), then we can set up a system of equations:

2ax + dy + ez + g = 3

2by + dx + fz + h = 9

2cz + ex + fy + i = 4

We need to solve this system of equations for a, b, c, d, e, f, g, h, i, and C.

To make the solution simpler, we can set some of the constants to zero. Let's set d = e = f = g = h = i = 0. Then the system becomes:

2ax + ez = 3

2by + fz = 9

2cz + fy = 4

Now we can solve for a, b, and c:

a = 3/2x - 1/2z

b = 9/2y - 1/2z

c = 2z - y - 2x

Substituting these values back into the original equation for f, we get:

f(x, y, z) = (3/2)x^2 + (9/2)y^2 + (2z - y - 2x)^2 + C

So the function f(x, y, z) that has the constant gradient vector (3, 9, 4) is:

f(x, y, z) = (3/2)x^2 + (9/2)y^2 + (2z - y - 2x)^2 + C

where C is a constant of integration.

To learn more about  function  visit: https://brainly.com/question/12431044

#SPJ11

52.03×9.81

I’ve been having troubles with decimals and I need some help with this. Thanks.

Answers

To multiply 52.03 by 9.81, you can first ignore the decimal points and multiply 5203 by 981:

5203 x 981 = 5100843

Next, count the total number of decimal places in the original numbers being multiplied (2 in 52.03 and 2 in 9.81) and add them together to get 4.

Finally, place the decimal point in the product so that there are 4 digits to the right of the decimal point. Counting from the right, this means placing the decimal point after the third digit:

5203 x 981 = 5100843
52.03 x 9.81 = 510.0843

Therefore, 52.03 multiplied by 9.81 is equal to 510.0843.

16. A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden. A. 15m B. 3m C. 12m D. Square root of 12m


17. What is the value of c so that x^2-11x+c is a perfect-square trinomial? A. 121, B. 121/4, C. -11/2, D. 121/2


18. PLEASE HELP ASAP! Solve the equation by completing the square. Round to the nearest tenth. X^2+8x=10 A. 1. 1, 9. 1 B. 1. 1,-9. 1 C. -1. 1,9. 1 D. -1. 1, -9. 1

Answers

16. The length of each side of the original garden is 12 meters. The answer is (C) 12m.

17The value of c that makes x^2-11x+c a perfect-square trinomial is (B) 121/4..

18.The answer is (D) -1. 1, -9. 1.

Step by step explanation

16. Let s be the length of each side of the original garden. Then the area of the original garden is s^2. If each side is increased by 3 meters, then the new length of each side is s+3, and the area of the expanded garden is (s+3)^2. We are given that the area of the expanded garden is 225 square meters. Therefore, we can write the equation:

(s+3)^2 = 225

Taking the square root of both sides, we get:

s+3 = 15 or s+3 = -15

The second equation has no solution, since the length of a side cannot be negative. Therefore, we have:

s+3 = 15

Subtracting 3 from both sides, we get:

s = 12

17. To make x^2-11x+c a perfect-square trinomial, we need to add and subtract a constant term to make it a square of a binomial. Specifically, we want to add and subtract (11/2)^2 = 121/4 to get:

x^2 - 11x + c + 121/4 - 121/4

= (x - 11/2)^2 + (4c - 121)/4

For this to be a perfect-square trinomial, we need (4c - 121)/4 to be equal to 0. Therefore, we have:

4c - 121 = 0

Solving for c, we get:

4c = 121

c = 121/4

18. To solve the equation x^2 + 8x = 10 by completing the square, we first move the constant term to the right-hand side:

x^2 + 8x - 10 = 0

Next, we add and subtract the square of half the coefficient of x, which is (8/2)^2 = 16:

x^2 + 8x + 16 - 16 - 10 = 0

We can then write the left-hand side as a perfect-square trinomial:

(x + 4)^2 - 26 = 0

Adding 26 to both sides, we get:

(x + 4)^2 = 26

Taking the square root of both sides, we get:

x + 4 = ±√26

Subtracting 4 from both sides, we get:

x = -4 ±√26

Rounding to the nearest tenth, the solutions are approximately:

x ≈ -7.1 and x ≈ -0.9

To know more about binomial refer to

https://brainly.com/question/29163389

#SPJ11

Casho signed up for a streaming music service that costs $7 per month. The service allows Casho to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1. 50 per song. How much total money would Casho have to pay in a month in which she downloaded 30 songs? How much would she have to pay if she downloaded ss songs?

Answers

To find out how much Casho would have to pay in a month in which she downloaded 30 songs, we need to consider both the monthly subscription cost and the cost per song for offline listening.

Step 1: Determine the cost of the monthly subscription, which is $7.

Step 2: Calculate the cost of downloading 30 songs for offline listening. To do this, multiply the cost per song ($1.50) by the number of songs (30).
1.50 * 30 = $45

Step 3: Add the monthly subscription cost ($7) to the cost of downloading 30 songs ($45).
7 + 45 = $52

So, Casho would have to pay $52 a month in which she downloaded 30 songs.

Now, let's find out how much Casho would have to pay if she downloaded ss songs.

Step 1: The cost of the monthly subscription remains the same at $7.

Step 2: Calculate the cost of downloading ss songs for offline listening. Multiply the cost per song ($1.50) by the number of songs (ss).
1.50 * ss = 1.50ss

Step 3: Add the monthly subscription cost ($7) to the cost of downloading ss songs (1.50ss).
7 + 1.50ss = 7 + 1.50ss

The total amount Casho would have to pay if she downloaded ss songs is 7 + 1.50ss.

Learn more about offline listening at https://brainly.com/question/24039445

#SPJ11

8. ) An archaeologist can determine the approximate age of certain ancient specimens by


measuring the amount of carbon-14, a radioactive substance, contained in the specimen. The


à¹à¸£à¸²à¸


formula used to determine the age of a specimen is A = A,2 where A is the amount of


carbon-14 that a specimen contains, A, is the original amount of carbon-14, t is time, in years,


and 5760 is the half-life of carbon-14. A specimen that originally contained 120 milligrams of


carbon-14 now contains 100 milligrams of this substance. What is the age of the specimen, to


the nearest hundred years?

Answers

The age of the specimen with half-life 5760 years, to the nearest hundred years is 3184 years.

To find the age of the specimen, we can use the formula:

A = ([tex]A_{1}[/tex])[tex]2^{(-t/5760)}[/tex]

Where [tex]A_{1}[/tex] is the original amount of carbon-14 (120 milligrams), A is the current amount of carbon-14 (100 milligrams), t is the time elapsed since the organism died, and 5760 is the half-life of carbon-14.

Substituting the given values, we get:

100 = (120)[tex]2^{(-t/5760)}[/tex]

Taking the natural logarithm of both sides, we get:

ln(100) = ln(120) - t/5760 * ln(2)

Solving for t, we get:

t = -5760 * ln(100/120) / ln(2)

t ≈ 3183.7 years

Therefore, the age of the specimen is approximately 3184 years, rounded to the nearest hundred years.

It's worth noting that radiocarbon dating is only accurate up to a certain point, as the amount of carbon-14 in a specimen eventually becomes too low to measure accurately. The maximum age that can be reliably determined through radiocarbon dating is around 50,000 to 60,000 years. Beyond that, other methods such as dendrochronology (tree-ring dating) or uranium-thorium dating may be used.

Correct Question :

An archaeologist can determine the approximate age of certain ancient specimens by measuring the amount of carbon-14, a radioactive substance, contained in the specimen. The formula used to determine the age of a specimen is A = ([tex]A_{1}[/tex])[tex]2^{(-t/5760)}[/tex] where A is the amount of carbon-14 that a specimen contains, [tex]A_{1}[/tex] is the original amount of carbon-14, t is time, in years, and 5760 is the half-life of carbon-14. A specimen that originally contained 120 milligrams of carbon-14 now contains 100 milligrams of this substance. What is the age of the specimen, to the nearest hundred years?

To learn more about half-life here:

https://brainly.com/question/13058771

#SPJ4

Write the product 5x2/3 as the product of a whole number and a unit fraction

Answers

The product 5x^(2/3) can be written as the product of the whole number 5 and the unit fraction 1/x^(-2/3), which simplifies to x^(2/3)/1 or just x^(2/3). So, we have:

5x^(2/3) = 5 * (1/x^(-2/3)) = 5x^(2/3) = 5 * (x^(2/3) / 1) = 5x^(2/3) = 5x^(2/3)

To write the product 5x^(2/3) as the product of a whole number and a unit fraction, we need to express x^(2/3) as a unit fraction.

Recall that a unit fraction is a fraction with a numerator of 1, so we need to find a fraction that has 1 as the numerator and x^(2/3) as the denominator. We can do this by using the reciprocal property of exponents:

x^(2/3) = 1 / x^(-2/3)

Now we can substitute this expression into the original product:

5x^(2/3) = 5 * (1 / x^(-2/3))

Simplifying the right-hand side of the equation, we can write it as:

5 / x^(-2/3) = 5x^(2/3)

To know more about unit fraction refer to

https://brainly.com/question/30860953

#SPJ11

its on the screenshot

Answers

The missing values can be found by setting up proportions for each of the ratios whose values are given. The completed table is shown below:

x              17       1/3       11

y               5.67     3.67     1.21

Ratio y/x   3.67          1/3      0.11

How do we calculate?

In order to find the missing values of y, we can use the given ratios to set up proportions:

For the first ratio:

y/x = 5.67/17

y = (5.67/17) * x

y = (5.67/17) * 11

y = 3.67

So the first missing value of y is 3.67.

For the second ratio:

y/x = 1/3

y = (1/3) * x

y = (1/3) * 1/3

y = 0.11

Therefore, the second missing value of y is  found as 0.11.

Learn more about ratios at:

https://brainly.com/question/12024093

#SPJ1

Identify the equation of the line that passes through the pair of points (0,4) and (6, −3) in slope-intercept form.

Answers

An equation of the line that passes through the pair of points (0,4) and (6, −3) in slope-intercept form is y = -7x/6 + 4.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 - 4)/(6 - 0)

Slope (m) = -7/6

At data point (0, 4) and a slope of -7/6, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 4 = -7/6(x - 0)  

y = -7x/6 + 4

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

If the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position, what is the value of csc 0 ?​

Answers

We know that the value of CSC 0 is undefined if the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position.

If the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position, then we can use the Pythagorean theorem to find the value of the hypotenuse. The hypotenuse (r) is the distance from the origin to point P, and can be found using the formula r = sqrt(x^2 + y^2), where x = -1 and y = 0.

r = sqrt((-1)^2 + 0^2) = 1

Since csc 0 is the reciprocal of sin 0, and sin 0 = 0/1 = 0, we have:

CSC 0 = 1/sin 0 = 1/0 = undefined.

Therefore, the value of CSC 0 is undefined if the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position.

To know more about standard position refer here

https://brainly.com/question/30382689#

#SPJ11

For the given cost and demand functions, find the production level that will maximize profit. (Round your answer to the nearest whole number.)C(q) = 660 + 5q + 0.03q^2, p = 10 − q/400

Answers

The production level that will maximize profit is 80 units

To find the production level that will maximize profit given the cost function C(q) = 660 + 5q + 0.03q^2 and demand function p = 10 - q/400, follow these steps:

1. Write down the revenue function: Revenue (R) is the product of price (p) and quantity (q). So, R(q) = p * q.

2. Substitute the demand function into the revenue function: R(q) = (10 - q/400) * q

3. Simplify the revenue function: R(q) = 10q - q^2/400

4. Write down the profit function: Profit (P) is the difference between revenue and cost. So, P(q) = R(q) - C(q).

5. Substitute the revenue and cost functions into the profit function: P(q) = (10q - q^2/400) - (660 + 5q + 0.03q^2)

6. Simplify the profit function: P(q) = 10q - q^2/400 - 660 - 5q - 0.03q^2

7. Combine like terms: P(q) = 5q - q^2/400 - 0.03q^2 - 660

8. Differentiate the profit function with respect to q to find the first derivative: P'(q) = 5 - q/200 - 0.06q

9. Set the first derivative equal to 0 and solve for q: 5 - q/200 - 0.06q = 0

10. Solve for q: q ≈ 80

The production level that will maximize profit is approximately 80 units (rounded to the nearest whole number).

cost and demand functionhttps://brainly.com/question/14267740

#SPJ11

which rule explains why these triangles are congruent

Answers

Answer:

It's ASA, AAS,

Step-by-step explanation:

AAS- If two angles and a non-included side in one triangle are congruent to two angles and the corresponding non-included side in another triangle, then the triangles are congruent.

ASA-The ASA criterion for triangle congruence states that if two triangles have two pairs of congruent angles and the common side of the angles in one triangle is congruent to the corresponding side in the other triangle, then the triangles are congruent.

The american institute of certified tax planners reports that the average u.s. cpa works 60 hours per week during tax season. do cpas in states that have flat state income tax rates work fewer hours per week during tax season? conduct a hypothesis test to determine if this is so.
a. formulate hypotheses that can be used to determine whether the mean hours worked per week during tax season by cpas in states that have flat state income tax rates is less than the mean hours worked per week by all u.s. cpas during tax season?
b. based on a sample, the mean number of hours worked per week during tax season by cpas in states with flat tax rates was 55. assume the sample size was 150 and that, based on past studies, the population standard deviation can be assumed to be σ = 27.4. use the sample results to compute the test statistic and p-value for your hypothesis test.
c. at α = .05, what is your conclusion?

Answers

a. Null hypothesis (H0): μ1 = μ2 and Alternative hypothesis (H1): μ1 < μ2. b. The test statistic is -2.57 and p-value is  0.005 for the hypothesis test. c. At α = 0.05 it can be concluded that CPAs in states with flat state income tax rates work fewer hours per week during tax season compared to the average U.S. CPAs.

a. First, let's formulate the hypotheses:

Null hypothesis (H0): μ1 = μ2, which means that the mean hours worked per week during tax season by CPAs in states with flat state income tax rates is equal to the mean hours worked per week by all U.S. CPAs during tax season.

Alternative hypothesis (H1): μ1 < μ2, which means that the mean hours worked per week during tax season by CPAs in states with flat state income tax rates is less than the mean hours worked per week by all U.S. CPAs during tax season.

b. Now, let's compute the test statistic and p-value using the given sample data:

Sample mean (x) = 55 hours

Population mean (μ) = 60 hours

Population standard deviation (σ) = 27.4 hours

Sample size (n) = 150

We'll use the z-test for this hypothesis test:

z = (x - μ) / (σ / √n) = (55 - 60) / (27.4 / √150) ≈ -2.57

To find the p-value, we need to look up the z-value in the standard normal table, which gives us a p-value of approximately 0.005.

c. Lastly, let's draw our conclusion using α = 0.05:

Since the p-value (0.005) is less than α (0.05), we reject the null hypothesis (H0). This suggests that CPAs in states with flat state income tax rates work fewer hours per week during tax season compared to the average U.S. CPAs.

Learn more about Hypotheses:

https://brainly.com/question/15980493

#SPJ11

Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F' G′ H′ J′.



Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F' G′ H′ J′?



A. (x, y) à (5/7x, 5/7y)


B. (x, y) à (1. 4x , 1. 4y)


C. (x, y) à (x + 1, y + 2)


D. (x, y) à (x - 2, y + 1)









Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F' G′ H′ J′?

Answers

The rule that best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F'G'H'J' is option B, which is (x, y) à (1.4x, 1.4y).

What is the dilation rule used to create quadrilateral F'G'H'J' from FGHJ?

A dilation is a transformation that changes the size of an object without changing its shape. It is performed by multiplying the coordinates of each point by a scale factor.

In this case, the center of dilation is the origin, which means that the coordinates of each point are multiplied by the same scale factor in both the x and y directions.

The scale factor can be found by comparing the corresponding side lengths of the two quadrilaterals. In this case, the scale factor is 1.4, which means that the lengths of the sides of F'G'H'J' are 1.4 times the lengths of the corresponding sides of FGHJ.

Learn more about dilation

brainly.com/question/13176891

#SPJ11

Senior management of a consulting services firm is concerned about a growing decline in the firm's weekly number of billable hours. The firm expects each professional employee to spend at least 40 hours per week on work. In an effort to understand this problem better, management would like to estimate the standard deviation of the number of hours their employees spend on work-related activities in a typical week. Rather than reviewing the records of all the firm's full-time employees, the management randomly selected a sample of size 51 from the available frame. The sample mean and sample standard deviations were 48. 5 and 7. 5 hours, respectively. Construct a 88% confidence interval for the mean of the number of hours this firm's employees spend on work-related activities in a typical week. Place your LOWER limit, in hours, rounded to 1 decimal place, in the first blank. For example, 6. 7 would be a legitimate entry. ___ Place your UPPER limit, in hours, rounded to 1 decimal place, in the second blank. For example, 12. 3 would be a legitimate entry. ___

Answers

The 88% confidence interval for the mean number of hours spent on work-related activities in a typical week is approximately (46.9, 50.1).

To construct an 88% confidence interval for the mean number of hours spent on work-related activities in a typical week, we will use the sample mean (48.5 hours) and sample standard deviation (7.5 hours) from the sample of size 51.

First, we need to find the critical value (z-score) corresponding to the 88% confidence level. Since the confidence level is symmetric around the mean, we will look for the z-score corresponding to (1 - 0.88)/2 = 0.06 in each tail.

Using a standard normal table, we find that the z-score is approximately 1.56.

Now, we will calculate the margin of error using the formula:

Margin of error = z-score * (sample standard deviation / sqrt(sample size))
Margin of error = 1.56 * (7.5 / sqrt(51))
Margin of error ≈ 1.63

Next, we will calculate the confidence interval as follows:

Lower limit = sample mean - margin of error
Lower limit = 48.5 - 1.63
Lower limit ≈ 46.9

Upper limit = sample mean + margin of error
Upper limit = 48.5 + 1.63
Upper limit ≈ 50.1

So, the 88% confidence interval for the mean number of hours spent on work-related activities in a typical week is approximately (46.9, 50.1).

To learn more about error, refer below:

https://brainly.com/question/19575648

#SPJ11

A shipping container is in the shape of a right rectangular prism with a length of 11. 5


feet, a width of 8. 5 feet, and a height of 7 feet. The container is completely filled with


contents that weigh, on average, 0. 32 pound per cubic foot. What is the weight of the


contents in the container, to the nearest pound?

Answers

The weight of the contents in the container is approximately 222 pounds when rounded to the nearest pound.

The weight of the contents in the container can be calculated using the formula:

Weight = Volume x Density

First, we need to find the volume of the container, which is simply the product of its length, width, and height:

Volume = 11.5 x 8.5 x 7 = 696.5 cubic feet

Next, we need to multiply the volume by the density of the contents:

Weight = 696.5 x 0.32 = 222.08 pounds

It's important to note that the weight may vary depending on the actual density of the contents. Additionally, it's also important to consider the weight of the container itself, which would add to the total weight of the shipment.

To know more about weight  click here

brainly.com/question/13040516

#SPJ11

Which is a reasonable estimate for the difference 5 1/2- 3 5/9? Circle
the letter of the correct answer
A between 1/2 and 1
B between 1 and 1 1/2
C between 1 1/2 and 2
D between 2 and 2 1/2
Elise chose D as the correct answer. How did she get that answer?

Answers

Step-by-step explanation:

To estimate the difference between 5 1/2 and 3 5/9, we can first round the fractions to the nearest whole number or simpler fractions. In this case, we can round 1/2 to 1/2 and 5/9 to 1/2 as well. Now, we have:

5 1/2 − 3 1/2

Subtracting the whole numbers, we get:

5−3=2

Subtracting the fractions, we get:

1/2 − 1/2 = 0

So, the estimated difference is 2, which falls between 2 and 2 1/2. Therefore, Elise chose option D as the correct answer.

1. Identify two accounts that are in good standing. Explain what evidence you found on the credit report


to indicate why these are in good standing. (4 points)

Answers

The evidence on a credit report that indicates good standing may vary depending on the individual's credit history and financial situation.

What are the accounts that are in good standing? Explain what evidence you found on the credit report.

As an AI language model, I do not have access to specific credit reports or personal information of individuals. However, I can provide you with general information on what constitutes good standing on a credit report and some examples of evidence that may indicate good standing.

A good standing on a credit report typically means that a person has been responsible with their credit and has not defaulted on their payments. This may be indicated by a high credit score, a long credit history, and a low debt-to-credit ratio.

Some examples of evidence that may indicate good standing on a credit report include:

A high credit score: A credit score is a numerical representation of a person's creditworthiness. A high credit score, typically above 700, indicates that a person is in good standing and is likely to be approved for credit or loans. A high credit score may be achieved through a consistent history of making on-time payments, a low debt-to-credit ratio, and a diverse mix of credit accounts.

A low debt-to-credit ratio: A debt-to-credit ratio is the amount of debt a person has compared to their available credit limit. A low debt-to-credit ratio, typically below 30%, indicates that a person is not overextended and is able to manage their credit responsibly. This may be achieved through regular payments and not maxing out credit cards.

Overall, the evidence on a credit report that indicates good standing may vary depending on the individual's credit history and financial situation.

Learn more about credit reports

brainly.com/question/2989669

#SPJ11

(please help no links please)
the unit cube is divided into identical rectangular prisms. what is the volume of one of the identical prisms?

Answers

The volume of the unit cube is 1 cubic unit, and since it is divided into identical rectangular prisms, each of those prisms has the same volume. Therefore, the volume of one of the identical prisms is also 1 cubic unit.

What is the volume of one of the identical rectangular prisms obtained by dividing a unit cube?A unit cube has side lengths of 1 unit each, so its volume is simply 1 cubic unit. When the unit cube is divided into identical rectangular prisms, it means that each rectangular prism has the same volume as the unit cube, which is 1 cubic unit. Therefore, the volume of one of the identical prisms is 1 cubic unit.

Learn more about unit cube

brainly.com/question/25411421

#SPJ11

The equation m= 35g gives the distance in miles, m, that a car can travel using g


gallons of gas.


Q4. 1) If the car has gone 210 miles, how much gas was used?


A4. 1) Write the amount of gas that was used to travel 210 miles here.


Q4. 2) Write an equation that represents the inverse function: the gallons of gas as a


function of distance in miles.


A4. 2) Write the equation of the inverse function here.


Q4. 3) The equation m=hg gives the distance in miles, m, that a car can


travel using g gallons of gas, if it travels h miles per gallon.


Write an equation that represents the inverse function: the gallons of gas as


function of distance in miles for this new equation.


A4. 3) Write the equation of the inverse function here.

Answers

6 gallons of gas were used to travel 210 miles.

If the car can travel a distance of 210 miles using gallons of gas, what is the value of h in the equation m=hg?

A4. 1) To find the amount of gas used to travel 210 miles, we can rearrange the given equation m=35g to solve for g:

g = m/35

Substituting m=210, we get:

g = 210/35 = 6

6 gallons of gas were used to travel 210 miles.

A4. 2) To find the inverse function, we need to solve the given equation for g in terms of m:

m = 35g

Divide both sides by 35:

g = m/35

So the inverse function is:

g(m) = m/35

A4. 3) Similar to A4.2, we need to solve the given equation m=hg for g in terms of m:

m = hg

Divide both sides by h:

g = m/h

Now, we can write the inverse function as:

g(m) = m/h\

Learn more about Miles

brainly.com/question/30380238

#SPJ11

A delivery service charges $1. 25 for


each delivery, plus $0. 75 for each


mile the driver travels. The service


charged a customer $5. 75 for a


delivery. Which number line


represents the number of iniles the


driver could have traveled for the


delivery?

Answers

The driver could have traveled up to 5 miles for the delivery.

Let's denote the number of miles the driver traveled by "m".

According to the problem, the delivery service charged $1.25 for the delivery itself, and $0.75 for each mile traveled. This can be written as:

Total cost = $1.25 + $0.75 * m

We know that the service charged the customer $5.75, so we can set up an equation:

$5.75 = $1.25 + $0.75 * m

Solving for m, we get:

[tex]m = ($5.75 - $1.25) / $0.75 = 5[/tex]

To represent this on a number line, we can draw a line labeled from 0 to 5, with tick marks at each integer value.

We can label the tick mark at 0 as "0 miles" and the tick mark at 5 as "5 miles".

We can also indicate that the cost of the delivery increases as we move to the right by drawing an arrow pointing to the right, and labeling it "increasing cost".

Here's an example of what the number line might look like:

                   0         1         2         3         4         5

                    |---------|---------|---------|---------|---------|

                    0 miles                                            5 miles

                    increasing cost  ⟶

To know more about word problems refer here

https://brainly.com/question/1221179#

#SPJ11

HELP PLEASE!! the function f(x)has a vertical asymptote at x=[blank]

Answers

Answer:

Step-by-step explanation:

Solution: -4

The graph gets closer and closer to the line x=-4 but never touches it.

Anissa said that distance, d, could be either an independent or dependent variable Explain Anissa's statement. Distance, d, could be an) Choose. Variable because it affects the amount of time that someone has traveled. Distance, d, could also be a(n) Choose variable because it is affected by the speed traveled. ​

Answers

Anissa's statement is correct.

The classification of distance, d, as either an independent or dependent

variable depends on the context in which it is used.

Distance as an independent variable:

In this case, distance, d, is considered an independent variable because it

affects the amount of time someone has traveled.

When we are interested in studying how the distance traveled affects

other variables, such as time or fuel consumption, we treat distance as the

independent variable and manipulate it to observe its impact on the

dependent variables.

For example, if we conduct an experiment to measure the time it takes to

travel a certain distance under different conditions (e.g., different speeds or

modes of transportation), we would vary the distance as the independent

variable while keeping other factors constant.

In this scenario, distance is the independent variable, and time is the

dependent variable.

Distance as a dependent variable:

On the other hand, distance, d, can also be considered a dependent

variable when it is affected by the speed traveled.

In this case, speed becomes the independent variable, and distance is

dependent on the speed at which an object or person travels.

For instance, if we investigate how the speed of a vehicle affects the

distance it can travel within a given time, we would manipulate the speed

as the independent variable and observe the corresponding changes in

distance.

Here, distance is the dependent variable, and speed is the independent

variable.

In summary, Anissa's statement is accurate because distance, d, can be

considered an independent variable when it affects other factors such as

time, and it can also be a dependent variable when it is influenced by

factors like speed.

The designation of distance as independent or dependent depends on the

specific context and the relationship it shares with other variables in the

given situation.

To know more about variables refer here https://brainly.com/question/19585043# #SPJ11

5. Divide 6/13 by 6 /12 -
O A. 12/13
O B. 9/16
O C. 13/12
O D. 1/12

Answers

The answer for 6/13 divided by 6/12 would be A. 12/13 :)
Answer is A. 12/13.

Explanation:
In order to divide fractions you have to use the method KCF which stands for: Keep, Change Flip.

Step 1: Keep 6/13 how it is, 6 over 13.
Step 2: (If you need to add the multiply symbol, change the division symbol into a multiplication symbol).
Step 3: Then flip 6/12 making it 12/6.
Step 4: Multiply the numerator straight across 6 times 12, which is 72, now multiply the denominator straight across by 13 times 6 which is 78.
Step 5: After this process you should get 72/78, (72 over 78, 72 on top, 78 on bottom.
Step 6: (Last Step): Simplify both 72 and 78 by 6, (divide 72 and 78), and you should get the answer of 12/13.

Un hacendado compro "5" pollos y "8" conejos por $517,00 y una semana despues a los mismos precios compro "8" pollos y "11" por $761. 00 HALLAR EL COSTO DE UN POLLO Y DE UN CONEJO NOTA: Resolver por el metodo de sustitucion

Answers

Using substitution method, the cost of a chicken is $44.56 and the cost of a rabbit is $36.78.

Let's use the substitution method to solve the problem.

Let's assume that the cost of a chicken is "x" dollars and the cost of a rabbit is "y" dollars.

From the first statement, we know that:

5x + 8y = 517 --- equation (1)

And from the second statement, we know that:

8x + 11y = 761 --- equation (2)

Now we can solve for one of the variables in terms of the other from one of the equations, and then substitute that expression into the other equation to solve for the remaining variable.

Solving equation (1) for "y", we get:

y = (517 - 5x) / 8

Now we can substitute this expression for "y" into equation (2), and solve for "x":

8x + 11[(517 - 5x) / 8] = 761

Multiplying both sides by 8 to eliminate the fraction, we get:

64x + 11(517 - 5x) = 6088

Expanding the brackets, we get:

64x + 5687 - 55x = 6088

Combining like terms, we get:

9x = 401

Dividing both sides by 9, we get:

x = 44.56

So the cost of a chicken is $44.56.

Now we can substitute this value for "x" into equation (1) to solve for "y":

5(44.56) + 8y = 517

Simplifying, we get:

222.80 + 8y = 517

Subtracting 222.80 from both sides, we get:

8y = 294.20

Dividing both sides by 8, we get:

y = 36.78

So the cost of a rabbit is $36.78.

Therefore, the cost of a chicken is $44.56 and the cost of a rabbit is $36.78.

To learn more about substitution method here:

https://brainly.com/question/14619835

#SPJ4

You and a group of friends are off to have a day of fun! Before you head out on your adventure, you need to choose a mode of transportation to get to your destinations. The four different transportation choices are represented by the functions below. Decide which method of transportation you would like to use for the day. Use your choice to answer the questions that follow.





1. Which mode of transportation did you choose? Why?

Answers

The mode of transportation that I will choose is motorized scooter this is because it is relatively cheap when compared to the other forms of transportation.

What is the forms of transportation?

A motorized scooter  could be a moderately cheap mode of transportation compared to other alternatives such as cars, cruisers, or indeed bikes.

The starting price of obtaining a motorized bike is for the most part lower than that of a car or cruiser, and the continuous costs such as fuel, support, and protections are too ordinarily lower.

From the question, you can see that the price of the scooter at 5 miles is $10 and it is relatively cheap when compared to the rest.

Learn more about forms of transportation from

https://brainly.com/question/26556493

#SPJ1

find the area of a triangle point

Answers

A = 12bh
To find the area of a triangle , you'll need to use the
following formula: A = 12 b h A is the area, b is the
base of the triangle (usually the bottom side), and h is the height (a straight perpendicular line drawn from the base to the highest point of the triangle).

If BA = 5x + 5 and AD = 10x - 20, find BD. It is a parallelogram by the way. ​

Answers

To find the length of BD in a parallelogram where BA = 5x + 5 and AD = 10x - 20, we use the fact that opposite sides of a parallelogram are equal in length. Therefore, BD = BA = 30.

Since it is a parallelogram, we know that opposite sides are equal. So, BD = BA = 5x + 5. To find the value of x, we can use the fact that AD is also equal to BD. So, we can set the two expressions for BD equal to each other

5x + 5 = 10x - 20

Simplifying and solving for x, we get

5x = 25

x = 5

Now we can substitute x back into the expression for BD to get the final answer

BD = 5x + 5 = 5(5) + 5 = 30

To know more about parallelogram:

https://brainly.com/question/29147156

#SPJ4

Pls help and actually answer the question pls

Answers

Answer:

y = |x - 1|

Step-by-step explanation:

This is an absolute value function in the form g(x) = |x - h| + k, where

(h, k) is the vertex, (1, 0).  Substitute these values into the function to get the equation of the graph:

y = |x - 1| + 0 = |x - 1|

Find the Surface Area of the triangular Prism below:

Answers

Answer:

≈ 12,78 m^2

Step-by-step explanation:

The surface area is equal to the sum of the areas of all the sides

This figure has sides of 2 triangles (bases) and 3 rectangles (lateral surface)

h (triangle) = 1m

We can find the base of the triangle by using the Pythagorean theorem (multiply by 2, because the triangle's base contains two of these identicals sides)

[tex](( {1.5})^{2} - {1}^{2} ) \times 2=( 2.25 - 1 ) \times 2= 1.25 \times 2 = 2.5> 0[/tex]

The triangle's base is equal to:

[tex] \sqrt{2.5} = \frac{ \sqrt{10} }{2} [/tex]

First, let's find the area of 2 bases (triangles):

[tex]a(bases) = 2 \times \frac{1}{2} \times 1 \times \frac{ \sqrt{10} }{2} = \frac{ \sqrt{10} }{2} [/tex]

Now, we can find the whole surface area by adding the areas of the rectangles to the bases' areas:

[tex]a(surface) = \frac{ \sqrt{10} }{2} + 2.4 \times 2 + 1.5 \times 2 + 1.7 \times 2 = \frac{ \sqrt{10} }{2} + \frac{56}{5} ≈12.78[/tex]

Rewrite each expression using a single, positive exponent.

Answers

The given expression, 14⁻³ · 14¹², written as a single, positive exponent is 14⁹

Rewriting an expression using a single exponent

From the question, we are to write the given expression using a single, positive exponent

From the given information,

The given expression is

14⁻³ · 14¹²

This means

14⁻³ × 14¹²

To solve this, let us revise some of the laws of indices

mᵃ × mᵇ = mᵃ ⁺ ᵇmᵃ × mᵇ = mᵃ ⁻ ᵇm⁰ = 1

Thus,

The expression

14⁻³ × 14¹²

can be written as

14⁻³ ⁺ ¹²

14⁹

Hence, the expression written as a single exponent is 14⁹

Learn more on Rewriting an expression here: https://brainly.com/question/29259390

#SPJ1

Other Questions
Marcus is taking part in a charity run. He has received $250 in fixed pledges, and he will receive $25 more in pledges for each mile he runs. Write an equation for the amount of money P Marcus will earn in terms of the distance d he runs, measured in miles Please help! Daniel incorrectly solved the equations shown. Explain what he did wrong in each solution and then solve both equations correctly. 25x^2-16=9(25x^2 )-16=95x-4=35x=7x=7/5 z^3-2=6z^3=8(z^3 )=8z=2 does a number being squared with x and being negative make it so it has to be multiplied by 2 like the first number in the third part of the question? I'm unsure where it came from 1) Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If an answer does not exist, enter DNE.)f(x, y) = 5x^2 + 5y^2; xy = 12) Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)f(x, y, z) = x + 2y; x + y + z = 6, y^2 + z^2 = 4 The author says this is equivalent to taking a long shower every day for two-and- a half weeks to based on the information provided in the mini-case, which of the following best describes redbox? a. it is either a joint venture or a franchise agreement between outerwall and mcdonald's ventures, llc. b. it is a franchise agreement between outerwall and mcdonald's ventures, llc. c. it is a nonequity strategic alliance between outerwall and mcdonald's ventures, llc. d. it is either a joint venture or an equity strategic alliance between outerwall and mcdonald's ventures, llc. There are number of components in the computer system, few of them are having low data demands, few of them have high data demands and few have very high data demands in order to carry out communication between components of computer system. Suppose you are assigned a task to design bus/buses to fulfill the requirementsinternal/external/user communication properly. Discuss with proper justification Mahrouq Technologies buys $13,431,550 of materials (net of discounts) on terms of 4/30, net 60, and it currently pays within 30 days and takes discounts. Mahrouq plans to expand, and this will require additional financing. If Mahrouq decides to forego discounts and thus to obtain additional credit from its suppliers, calculate the nominal cost of that credit need help with this geometry problem Which president's response to the iranian crisis was considered a failure, and why?the response of president fordnixoncarterto the iranian hostage crisis was considered a failure because five hostages were executed due to his negligenceonly a few of the hostages were released while he was in officehe was unable to secure the hostages release during his time in office Can you find the domain and range and type the correct code? help me please. How do the following technologies help you in your gest to become a digital citizen kiosks, enterprise computing, natural language processing, robotics, and virtual reality? What desegregated the United States Armed Forces? The principle of meaning teaches us that human persons interact, and that we do so through the use of: a) What are the bases of mRNA coded for by this section of DNA, before themutation? Hint: In RNA, A pairs with U. PLEASE HELP MEEEEE PLEASEEEE Given the following reaction: CuO (s) + H2 (g) Cu (s) + H2O (g) If 357. L of hydrogen gas are used to reduce copper (II) oxide at STP, what mass of copper is to be expected? The length of a rectangle is 4 m more than the width. if the area of the rectangle is 77 m2. how many meters long is the width of the rectangle? answer choices d: -11 m: 7 z: 9 The area of the triangle below is \frac{2}{25} 252 square feet. What is the length of the base? Express your answer as a fraction in simplest form.1/5 f What was the House of Wisdom?What was the House of Wisdom?Responsesa hospital where brain surgery was performeda hospital where brain surgery was performeda place where Muslim philosophers met to contemplate lifea place where Muslim philosophers met to contemplate lifea research library in Baghdada research library in Baghdada meeting place for the advisors to the caliphs Motivation to acquire the land in the Gadsden purchase centered around. ?a. Gaining more land for plantationsb. Completing a transcontinential railroadC. Land hunting and loggingd. Obtaining a border with mexico