Help please! How do I write an equation in standard form using the information on the graph?
Answers
Answer:
3x -y = 2
Step-by-step explanation:
You want a standard form equation for the line through the points (0, -2) and (2, 4).
SlopeThe slope of the line is the "rise" divided by the "run". The given point on the right is 3 grid squares above the one on the left. It is one grid square to the right. So, the slope is ...
m = (squares above)/(squares to the right) = 3/1 = 3
If we consider the actual x- and y-values represented by these grid squares, then the slope is ...
m = (4 -(-2))/(2 -0) = 6/2 = 3
InterceptThe point (0, -2) tells you the y-intercept is -2. That is where the line crosses the y-axis.
Slope-intercept equationWith this information, we can write the slope-intercept form equation for the line:
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 3x -2 . . . . . . . . line with slope 3 and y-intercept -2
Standard formThe standard form of an equation for a line is ...
ax +by = c
where a, b, c are generally mutually-prime integers with a ≥ 0. If a=0, then b > 0.
We can rearrange the slope-intercept equation to put it into this form.
y = 3x -2
3x -y -2 = 0 . . . . . subtract y
3x -y = 2 . . . . . . . add 2. This is the standard-form equation of the line.
Related Questions
Mississipi has the lowest income at 40.6 thousand dollars.Mississippi also has about 207 bacherlors degree per 1000 people what does the linear model estimate for that number of bachelors degrees per 1000 per person for Mississippi based on the median income? How good is this estimate?
Answers
Answer: A linear model is a type of mathematical equation that describes the relationship between two variables, such as median income and the number of bachelor's degrees per 1000 people. In order to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income, you would need a linear equation that describes that relationship.
Without that equation, it's not possible to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income.
Additionally, without more information about the data that the model was trained on, the correlation between median income and the number of bachelor's degrees per 1000 people and how accurate and reliable the model is, it's difficult to determine the goodness of this estimate. However, in general, a linear model may provide only a rough estimate, especially if the relationship between the variables is complex or non-linear.
Step-by-step explanation:
Help soon would be greatly appreciated
A home has a replacement value of $324,000. What is the amount
of the insurance if the coverage is:
a.
100% of the replacement value?
b. 90% of the replacement value?
C.
80% of the replacement value?
Answers
The insurance company will pay $192, which is the asset's present value.
What is meant by replacement value?The sum of money required to fix your house at the cost of construction materials today, or to replace your possessions at the cost of an equivalent or comparable item today the cost of purchasing a comparable asset to replace an existing one at the going rate on the market.
To be fully insured, your dwelling limit must equal at least 80% of the rebuild value of your house. The average cost of reconstructing a home per square foot in your area can be multiplied by the square footage of your home to determine the replacement cost. Market value and replacement cost are not the same thing.
Therefore,
The distribution of cost over the course of an asset's useful life is known as depreciation. It speaks of the rate at which the value of an asset depreciates over time.
When figuring out depreciation, the original value is utilized. It does not use current market value.
Over the course of the asset's useful life, the value is distributed equally.
In this instance
Depreciation per year = Asset value ÷ Years of useful life
Depreciation per year = 288 ÷ 6 = $48
The asset has been used for 2 years
Amount depreciated = 48 × 2 = $96
Present value = Original value - Depreciation
Present value = 288 - 96 = $192
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Evaluate the expression 8 + 18 ÷ 3 − 7. (4 points) Group of answer choices 5 7 9 10
Answers
Step-by-step explanation:
26÷3-7
26-7÷3
21÷3
7 Answer
hope it helps
Answer:
the answer is 7
Step-by-step explanation:
Consider the following problem:
The length s(t) of the side of the base of a square prism is decreasing at a rate of 7
kilometers per minute and the height h(t) of the prism is increasing at a rate of 10
kilometers per minute. At a certain instant to, the base's side is 4 kilometers and the
height is 9 kilometers. What is the rate of change of the surface area A(t) of the
prism at that instant?
Match each expression with its given value.
Answers
The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.
What does rate of change mean?
An indicator of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then the rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.
Surafce area of a prism is equal to
2(Area of base) + (perimeter of base)(height)
2b^2+4bh
[tex]S=2b^2+4bh[/tex]
[tex]\frac{ds}{dt}=4b\frac{db}{dt} + 4b\frac{db}{dt} + 4h\frac{db}{dt} \\[/tex]
It is given that db/dt= -7 and dh/dt -=10.
At a particular instant b= 4km, h=9 km.
Now we will substitute the values in this formula:
[tex]\frac{ds}{dt}=-4*4*7-4*4*7+ 4*9*10\\\frac{ds}{dt}=136[/tex]
The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.
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simplify the following algebraic expressions.
-2x + 5 + 10x - 9
3(x + 7) + 2(-x + 4) + 5x
Answers
Answer: 8x-4
6x+29
Step-by-step explanation:
25 points need HELP !!
A fair, unbiased coin was flipped 10 times, giving the results shown in the table, where T = tails and H = heads.
Flip 1 2 3 4 5 6 7 8 9 10
Result T T T H T T T H T T
What is the difference between the theoretical and experimental probabilities of getting heads?
A. 0.5
B. 0.0
C. 0.3
D. 0.1
Answers
Answer:
c 0.3
Step-by-step explanation:
there is are 50/50 chance when a coin is flipped but according to the data it is 80/20 so if to take 80-50=30 so it is a 0.3 change in probability.
The difference between the theoretical and experimental probabilities of getting heads is 0.3.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
A fair, unbiased coin was flipped 10 times.
The result is shown in the table.
Total number of outcomes = 10
For the experimental probability,
Number of heads = 2
Experimental Probability of getting heads, E = 2/10 = 0.2
For the theoretical probability,
Theoretical Probability of getting heads, T = 1/2 = 0.5
Difference = 0.5 - 0.2 = 0.3
Hence the difference is 0.3.
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PLEASE HELP FIND THE SOLUTION IN SLOPE INTERCEPT FORM
Answers
Answer: y= -3/4x+8
Step-by-step explanation:
What is the volume of Tomiko’s aquarium?
Answers
Answer:
10 x 12 x 15= 1800
Step-by-step explanation:
multiply: length x width x height
The recipe Troy is using calls for 1 cup of cocoa. Troy added another
cup. What was the percent of change?
Answers
The percent of change can be calculated by taking the difference between the new value and the original value, divided by the original value, and then multiplying by 100 to express the result as a percentage.
In this case, the original value is 1 cup of cocoa and the new value is 2 cups of cocoa (since Troy added another cup). The difference between the two values is 1 cup.
So the percent of change would be:
(1 / 1) * 100 = 100%.
This means that the quantity of cocoa increased by 100% by adding 1 cup cocoa.
pleaseee helpppp this is so frustrating pleaseeeeee helloppppp!!
Answers
Answer:
YXZ is an acute angled equilateral triangle
x=60°
A shopper buys cat food in bags of 33 lbs. Her cat eats \frac{3}{4}
4
3
lb each week. How many weeks does one bag last?
Answers
Total of 44 weeks does one bag last.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator
Total amount of cat food = 33 lbs in one bag
Amount of food cat eats each week = 3/4 lb = 0.75 lb
Number of weeks one bag of cat food last = 33 / 0.75
= 44
Hence one bag of cat food will last for 44 weeks.
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HELP
M Y BRO HE NEEDS HELP
Answers
Answer:
4,2
Step-by-step explanation:
Isosceles mean two sides are same
My Question:
Why were there so many people on this question?
The length of an arc of a circle is one-eighth the circumference of the circle.Find the angle subtended by this arc at the centre if the radius of the circle is 14cm
Answers
Given:
The radius of the circle is 14 cm.
The length of an arc of a circle is one-eighth the circumference of the circle.
To find:
The angle subtended by this arc at the center.
Solution:
Formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex] ...(i)
Where, r is the radius and [tex]\theta [/tex] is the central angle.
The length of an arc of a circle is one-eighth the circumference of the circle.
[tex]s=\dfrac{1}{8}(2\pi r)[/tex] ...(ii)
Where, [tex]2\pi r[/tex] is the circumference of the circle.
Using (i) and (ii), we get
[tex]2\pi r\times \dfrac{\theta }{360^\circ}=\dfrac{1}{8}(2\pi r)[/tex]
[tex]\dfrac{\theta }{360^\circ}=\dfrac{1}{8}[/tex]
[tex]\theta =\dfrac{360^\circ}{8}[/tex]
[tex]\theta =45^\circ[/tex]
Therefore, the central angle is 45 degrees.
what is 0.10x10= ?
(i know how to do this but im very stuck on this one)
Answers
Answer:
Its 1 because you are moving the digits 1 place to the right
Step-by-step explanation:
How do you write 0.00000000090 in scientific notation?
Answers
Answer:
Step-by-step explanation:
9.0 × 10-10 I think.....
Please someone help me, if you don't know the answer don't comment at all.
Preston says the sequence of transformations that maps triangle ABC onto triangle DEF is: rotate it 180 degrees about the origin, and then translate it up 7 units.
Chanel says the sequence of transformations that maps triangle ABC onto triangle DEF is: reflect it across the x-axis, then reflect it across the y-axis, and then translate it up 6 units and left 1 unit.
Part E
Now look at Chanel’s sequence. How does a reflection across the x-axis change the coordinates of a shape?
Part I
How does a translations 6 units up and 1 unit left change the coordinates of a shape?
Part K
Whose sequence proves triangle ABC is congruent to triangle DEF? Why?
Answers
Answer:
Part E
When reflected across x axis, your y coordinate will be negative and the x coordinate will be the same. ex.
(5,4) = (5,-4)
Part I
You would add 6 to the y coordinate and subtract 1 from the x coordinate
Part K
Chanels Sequence
Step-by-step explanation:
round to the nearest tenth
Answers
Answer:
A) 1017.9
Step-by-step explanation:
the radius is the bottom line which is 9
The height is the line on the inside which is 12
1/3 x 3.14 x [tex]9^{2}[/tex] x 12= 1017.36
but if you were to answer it with the pi symbol you would get the estamite of 1017.88 which rounded to the tenths is 1017.9
Solve 2 < n +1| ≤ 7. Explain your reasoning and graph
the solution set.
Answers
Let n = the number
The solution set is {x | x > 10}. 2. 5 ≥ 7 + y.
What is the value of N?It's used to refer to the collection of all natural numbers. Positive whole numbers that are not zero make up the natural numbers. N = 1 , 2 , 3 , 4 . By multiplying the integers from 1 to n, the factorial of n is calculated and denoted by the symbol n!. n! = n (n - 1)! is the formula for n factorial. Example: What is9! if8, which is40,320, is?The sample size, or n, is the number of data points. described in Chapter 2 here. in a probability experiment using a binomial model, the total number of trials.Instead of the product n n, which is typically pronounced"n squared," the equivalent exponentiation n2 is used to represent a number's square.To learn more about exponentiation refer to:
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HELP ASAP I will give 20 points
Answers
A person places $3090 in an investment account earning an annual rate of 3%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
Answers
Answer:
V=4298.0915\approx 4298.09
V=4298.0915≈4298.09
Step-by-step explanation:
Which is the following closet to 1/2+1/3
Answers
Answer:
0.5
Step-by-step explanation:
you have 1/2+1/3 so you take the numerator of the first fraction and multiply it, and do the same for the numerator of the second fraction. you should be left with 2 & 3. you add those two together and there is your answer. if i am wrong please tell me so i can find the mistake.
3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 square meters C. 360 square meters d. 102 square meters
Answers
C. 360 Square meters
........
The total area is 360 square meter.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Given:
We get Three Rectangle
First Rectangle:
length = 12 m
width = 16 m
So, Area = 12 x 16 = 192 square meter.
Second Rectangle:
length = 8 m
width = 12 m
So, Area = 8 x 12 = 96 square meter.
Third Rectangle:
length = 12 m
width = 6 m
So, Area = 12 x 6 = 72 square meter.
Thus, the total area = 192 + 96+ 72 = 360 square meter.
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If your annual salary is $37,350 and your housing budget is 24%, How much is your yearly housing cost?
Answers
Answer:
$8964Step-by-step explanation:
Annual salary is $37350
Housing budget is 24%
Housing cost:
$37350*24/100 = $8964Answer:
$8,964
Step-by-step explanation:
Given:
Annual salary = $37,350Housing budget = 24%To find the yearly housing cost, calculate 24% of the annual salary:
[tex]\begin{aligned}\implies \sf Yearly\:housing\:cost & = \sf 24\% \:of\:37350 \\\\& = \sf \dfrac{24}{100} \cdot 37350\\\\& = \sf \dfrac{24 \cdot 37350}{100}\\\\& = \sf \dfrac{896400}{100}\\\\& = \sf 8964\end{aligned}[/tex]
Therefore, the yearly housing cost is $8,964.
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Find the slope of the line in which x=-24
Answers
Answer:
it is undefined
Step-by-step explanation:
Slope of the line x=-24 is undefined. We'll compare the line x = -24, with x = h. So this line is a vertical line that is parallel to the y-axis. We know that the slope of the y-axis is undefined. Since x=-24 and y-axis are parallel, so x=-24 will have the same slope, that is undefined.
Answer:
undefined slope
Step-by-step explanation:
When you have the line x=-24, you have a vertical line, where the x-value is constant, given in the equation, but the y-value varies between negative infinity and positive infinity. If we were to plug two points into the slope formula, we would get: [tex]\frac{y_2-y_1}{-24-(-24)}\to\frac{y_2-y_1}{0}[/tex], because there is no change in x, the x values are the same. Thus it is said that the slope is undefined.
A student says that the x-intercept of a line is (0,-10,). Is the student correct? Explain.
Answers
Answer:
Yes, the student is correct
Step-by-step explanation:
Given
[tex](0,-10)[/tex]
Required
Does it represent the x intercept
At the x intercept, the value of x is 0.
So, the function [tex](x,y)[/tex] becomes [tex](0,y)[/tex]
[tex](0,-10)[/tex] can be compared to [tex](0,y)[/tex]
Hence, the student is correct
One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region. Use 3.14 for Pi
Answers
Answer:
The smaller circle lies completely inside the bigger circle without touching each other at a point of circumference. If this case happens, the sum of the distance between the centres and smaller radius is lesser than the bigger radius, then obviously the smaller circle lies completely inside the circle, without touching the circumference.
Step-by-step explanation:
One side of a triangle is 7 feet longer than the second side. The third side is 2 feet longer than the second side. The perimeter of a triangle is 42 feet. Find the length of each side.
Answers
Answer: second 11
first 18
Second 13
Step-by-step explanation:
HELP PLEASE DUE TODAY
List the data points.
Answers
Answer:
This is easy but ok? 1, 2, 3. Seems to easy...
Step-by-step explanation:
A data point or observation is a set of one or more measurements on a single member of the unit of observation.
Please help!! Thank you!!
Answers
a^2 + 2ab + b^2
or
a^2 - 2ab + b^2
Looking at the options, first check the leading term is a perfect square. They all are so we can’t eliminate anything. Next we check if the last term is a positive perfect square. The third option is not positive so we can eliminate that one.
Finally we check the center term. The first one does not have a middle term so we can eliminate that one.
The center term must be 2 times the square root of the first times the square root of the last.
The second option - square root of first term is 2m, square root of last term is 3n. 2*2m*3n is 12mn. That is not the middle term so the second option is not right.
The last option - square root of first term is 4x, square root of last term is 3y. 2*4x*3y is 24xy. That is the middle term. So the last option is the correct answer.
find the value of x in the following figure
Answers
Answer:
x = 172
Step-by-step explanation:
A circle is 360 degrees
The angles will add to 360 degrees
x/2 + 59 + x/4 + x = 360
Subtract 59 from each side
x/2 + x/4 +x +59-59 = 360 -59
x/2+x/4+x = 301
Combine like terms
2x/4 +x/4 +4x/4 = 301
7/4x = 301
Multiply each side by 4/7 to isolate x
4/7 * 7/4 x = 301 *4/7
x =172