Answer:
[tex]gradient = 2 \\ y - intercept = 0[/tex]
The gradient of this line is 2 and the y-intercept is (0, 0)
pls solve me this functions question
On solving the provided question, we can say that - the value of the function is f(x) = [tex]x^2 + 9 + 3x -5[/tex] = [tex]x^2 +3x +4[/tex]; f(x) = x= it doesn't factor
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
f(x) = [tex](x+3)^2 - 5[/tex]
f(x) = [tex]x^2 + 9 + 3x -5[/tex] = [tex]x^2 +3x +4[/tex]
f(x) = x= it doesn't factor
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Express each number as a product of two numbers 1/5
The fraction expression as a product expression is 1/2 * 2/5
How to express the mathematical expression as a product expressionFrom the question, we have the following parameters that can be used in our computation:
A mathematical expression
The mathematical expression is given as
1/5
In this case, the expression is a fraction
Using the above as a guide, we have the following:
Fraction = 1/5
Multiply the fraction by 1
So, we have the following representation
Fraction = 1/5 * 1
Express 1 as 2/2
This gives
Fraction = 1/5 * 2/2
Swap the factors of the expression
This gives
Fraction = 1/2 * 2/5
Hence, the product expression is 1/2 * 2/5
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You have $5$ red shirts, $5$ green shirts, $6$ pairs of pants, $8$ green hats and $8$ red hats, all of which are distinct. How many outfits can you make consisting of one shirt, one pair of pants, and one hat without having the same color of shirts and hats
Total = 240+240 = 480 potential combinations with a red shirt, green pants, and a green hat, or a green shirt, red pants, and a red hat, respectively.
How many outfit combinations can be put together from 6 shirts?The total number of possible outcomes for all four of these scenarios is 208, which is equivalent to 64 + 64 plus 16 plus 64. Consequently, we have a total of 120 different costumes to choose from (8 + 5 + 3). 8 × 5 × 3 = 120 . Given that you have 4 options for shirts, 3 options for shorts, and 2 options for shoes, the formula should be formatted as 4 × 3 ×2. You now have 24 wardrobe choices.
A "set" is made up of one top and one bottom. Since every bottom can be worn with every top, multiplying the tops by the bottoms gives us the total number of possible outfit combinations. Since dresses often aren't worn with tops or bottoms, they are introduced after the multiplication has occurred.
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One angle of a right triangle measures 65°. What is the measure of the other acute angle?
answer:
25°
explanation:
triangle total: 180°
right angle: 90°
90 + 65 = 155
180 - 155 = 25
hope this helped!
A runner ran a 400 m race in 1 min 35 sec. Calculate his average speed in m/sec.
1 minute = 60 seconds
1 minute 35 seconds = 60 + 25 = 95 seconds
Speed = 400 meters / 95 seconds
Speed = 4.21 meters / second
10. The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds
The stated statement states that 139 of said animals Margie counted had two legs, mostly two-legged birds.
Why do you use the word "number"?An arithmetic value used to compute and portray a quantity would be a number. In writing, numerical symbols like "3" are used to represent numbers. A decoder is a logical approach the portray a number using digits or symbols.
Assume that there are x two-legged birds and y four-legged animals. Now, we can employ equation systems to find a solution to this issue.
Enter two equations here:
2x + 4y = 522
x + y = 200
Add two to the latter equation now.
2x + 4y = 522
2x + 2y = 400
We discover that; by deducting the following equations from the first equation.
2y = 122
y = 61
There were 139 two-legged birds due to the 200 heads, which indicated a total of 200 animals.
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The complete question is-
The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds?
A). 61
B). 122
C). 139
D). 150
E). 161
The least common multiple of $1! 2!$, $2! 3!$, $3! 4!$, $4! 5!$, $5! 6!$, $6! 7!$, $7! 8!$, and $8! 9!$ can be expressed in the form $a\cdot b!$, where $a$ and $b$ are integers and $b$ is as large as possible. What is $a b$
By solving the given factorial question we get a+b=2538.
How does factorial work?In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a specific positive integer, which is followed by an exclamation point. Thus, factorial seven is denoted by the symbol 7!, which stands for 1 2 3 4 5 6 7. Factorial 0 is equal to 1 by definition.
Solution:-
We can factor each of these numbers.1! + 2! = 1! ( 1 + 2 )
2! + 3! = 2! ( 1+ 3 )
3! + 4! = 3! ( 1 + 4 )
4! + 5! = 4! ( 1 + 5 )
5! + 6! = 5! ( 1 + 6 )
6! + 7! = 6! ( 1 + 7 )
7! + 8! = 7! ( 1 + 8 )
8! + 9! = 8! ( 1 + 9 )
Once again:
1! + 2! = 1! ( 3 )
2! + 3! = 2! ( 4 )
3! + 4! = 3! ( 5 )
4! + 5! = 4! ( 6 )
5! + 6! = 5! ( 7 )
6! + 7! = 6! ( 8 )
7! + 8! = 7! ( 9 )
8! + 9! = 8! ( 10 )
We can split the number into two parts, a! * bThe LCM of 1!, 2!, 3!, ... , 8! is 8!
The LCM of 3, 4, 5, ... , 10 is 2520
The LCM is 2520 * 8!
a = 2520
b = 8
a + b = 2528
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hey! please help i’ll give brainliest
Answer:
all of these option 4 is correct
Answer:
The answer is the ( are )
Step-by-step explanation:
Petey’s Shirt Company can make 240 T-shirts in a day. After buying new machines, the company is able to make 456 T-shirts in a day. By what percent did the production increase?
A.9%
B.47%
C.53%
D.90%
Answer:
90%
Step-by-step explanation:
You convert 456/240 into a percentage and get 190%, then taking out the extra 100%
Answer:
Step-by-step explanation: The answer is 47% because if you divide 240 and 456 you get 98 and if you minus 98 by 51 you get 47.
Is this table linear, exponential, or other type of a function?
someone please help asap. i will give you brainliest
Answer:
It is exponential
Step-by-step explanation:
i need the ratio i got the numbers
Find the number of choices that are possible if you choose one of 3 kinds of fruit and one of 3 kinds of vegetables.
9 choices
7 choices
13 choices
6 choices
Answer:
I think that the answer is 9 choices.
Step-by-step explanation:
I am not sure but I hope that this helps you. Please mark me brainliest if I am right. Please forgive me if I am wrong! ):
Image Attached, Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. Will give Brainliest
Answer:
169
Step-by-step explanation:
You should know that the middle number with the x is double the original number not in expanded form. You should also know that in the expanded form, the last number is the square of the original number. So square(26/2) = 169.
Answer:
r^2 + 26r = (r + 13)^2 - 169
Step-by-step explanation:
r^2 + 26r + (26/2)^2 - (26/2)^2, or
r^2 + 26r + 13^2 - 13^2, or
(r^2 + 26r + 169) - 169
So r^2 + 26r = (r + 13)^2 - 169
Note: the coefficient of r is 26. We take half of that, obtaining 13, and then square the result: 13.
what is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, …
Answer:
The common difference is 4.
Step-by-step explanation:
Steve ran a 12-mile race at an average speed of 8miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
2 diagonals of a regular nonagon (a 9-sided polygon) are chosen. What is the probability that their intersection lies inside the nonagon
The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.
In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.
To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.
So the probability of the intersection of the two diagonals lying inside the nonagon is:
P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3
Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
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The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.
In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.
To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.
So the probability of the intersection of the two diagonals lying inside the nonagon is:
P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3
Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
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A coach throws a football from a height of 4 feet with an initial velocity of 59 feet per second at an elevation angle of 45°. Which parametric equations represent the path of the football?
A. x(t) = 59sin(45°)t and y(t) = –16t^2 + 59cos(45°)t
B. x(t) = 59cos(45°)t and y(t) = –16t^2 + 59sin(45°)t
C. x(t) = 59cos(45°)t and y(t) = –16t^2 + 59sin(45°)t + 4
D. x(t) = 59sin(45°)t and y(t) = –16t^2 + 59sin(45°)t + 4
Answer is C. Add an answer so it won't be archived!
Answer:
C
Step-by-step explanation:
Estimate 16.82-8.264 by first rounding each number to the nearest tenth.
pls help i need the right answer!
Base your answers to the following questions on the food web below and on your knowledge of biology. Which organisms are carnivores? A. grass and trees B. mouse, rabbit, and cricket C. deer and mountain lion D. frog, snake, and hawk
Answer:
D
Step-by-step explanation:
Shade the points in the plane whose x-coordinates are greater than their y-coordinates. Write the inequality that describes these points.
The inequality that describes these points is y ≤ -1/2(x) -3. The graph is given the attachment.
How to graph an inequality?To graph a linear inequality in two variables (say, x and y), start with y on one side. Consider the related equation obtained by changing the inequality sign to an equality sign. This equation's graph is a straight line.
If the inequality is strict (< or >), draw a dashed line. If the inequality is not strict (≤ or ≥), draw a solid line.
Finally, choose one point that is not on either line ((0,0) is usually the easiest) and determine whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.
Graph each of the system's inequalities in a similar way.
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help! determine the equation of the circle graphed below:
The equation of a circle is (x+3)² + (y+5)² = 4² with a center at (-3,-5).
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
The center is approximated to lie at the position (-3,-5) in the graph below with the axes of symmetry. The points of intersection of the circle with any of the two axes (broken lines) provide a diameter of around 8 units, and so the radius is half the diameter, which is 4 units.
The equation of the circle whose graph is given below is:
(x+3)² + (y+5)² = 4²
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Isabel is shopping for her new car. She identified six models she likes at a local dealership. The table lists
the down payment she would need to make on each car to keep the monthly payment within her budget.
Assume that she's using only the money accumulated in her savings account to make the down payment.
Use this information and the appropriate time value of money formula e to select all the cars that are
within Isabel's budget.
5
choice 1
choice 2
choice 3
down payment: $8,500 down payment: $6,200 down payment: $5,100
choice 4
choice 5
choice 6
down payment: $7,250 down payment: $7. 750 down payment: $7,500
The value of Isabel's account after three years can be calculated using the future value of the annuity formula.
Isabelle's budget car is:
Choice 2Choice 3Choice 4Reason:
Monthly savings, PMT = $200
Account compound interest, r = 1.7%
t = Account value after 3 years is displayed as increase.
We know that:
[tex]FV =PMT * \frac{[(1+i)^n -1]}{i}[/tex] --------------------- (1)
Where;
i = r/12
⇒ n = 12 × t
From the above equation(1), we get:
[tex]FV =200 * \frac{[(1+\frac{1.7}{2} )^{12*3} -1]}{\frac{1.7}{12} }[/tex]
≈ 7381.4
Therefore,
The budget cars she can buy, those that require a down payment of less than $7,381.4, which are:
The required down payment of choice 02 is $6200.
The required down payment of choice 03 is $5100.
The required down payment of choice 04 is $7250.
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What is the greatest two-digit multiple of 13
Answer:
Step-by-step explanation:
91
As you can see 91 is the largest 2 digit multiple of 13 as the next multiple is 104 which is a 3 digit number.
Why should u subtract 9 from both sides of the equation:
K+9=-43
Subtracting from both sides leaves you with . Since subtraction can be written as addition (adding the opposite), the addition property of equality. If two expressions are equal to each other and you add the same value to both sides of the equation, the equation will remain equal.
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. ... Performing the same operation on both sides of an equation does not change the validity of the equation, or the value of the variable that satisfies it.
I need to know the steps to solve this.
The Constraints of the inequality are
x ≤ 2y + 500
22500 < √ 35x + 50y
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The Company A (x) at most 500 more than twice then unit by B(y).
So, x ≤ 2y + 500
Now, the square of Company Profit will be equal to 35x + 50y
Then, the constraints will be
1. x ≤ 2y + 500
2. Company Profit² < 35x + 50y
Company Profit < √ 35x + 50y
22500 < √ 35x + 50y
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I need help I dont quite understand how to do it and if I did it correctly. Will give huge credit to whoever can give me a full explanation.
There's a theorem for this scenario that says the average of the measures of arcs AC and BD is equal to the measure of the angle formed by the chords AB and CD. In particular,
90° = 1/2 (arc AC + arc BD)
90° = 1/2 (arc AC + 126°)
90° = 1/2 arc AC + 63°
1/2 arc AC = 27
arc AC = 54°
If 120% of a number is 24, what is the number?
If 120% of a number is 24, then the number is 5.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find the number whose 120% of a number is 24.
Let the number be considered as x
120% is converted to decimal by dividing 120 with 100
120/100=1.2
Now multiply 1.2 by x which is equal to 24
1.2x=24
Divide both sides by 1.2
x=0.05
Now multiply it with 100 as it is a hundredth part
0.05×100=5
Hence, If 120% of a number is 24, then the number is 5.
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Los costes de fabricación de los helados, C(x) en euros, dependen de la cantidad elaborada(x en kilos) de acuerdo con la siguiente expresión:K(x)=(20+4x)/2 Se preveé que el precio al que estará a la venta (€/kilos) se puede determinar a través de:P(x)=(16000-6x^2)/800 Una vez determinado cual es la producción que obtendrá la máxima ganancia ¿Cuál sería la ganancia que se obtiene por la venta de esa cantidad de helados?
Answer:
comost eawewqeq
Step-by-step explanation:
wqqweqe
You have a 5 inch by 7 inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 inches squared. What is the width of the frame?
The width of the frame is 2.4 inches
How to determine the width of the frame?
Let w represent the width of the frame
Then the area of the frame is:
(w + 5)(w + 7) = 69.56
Rewrite it in Standard form of a quadratic equation:
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
Use Quadratic Formula to solve for w:
w = (-b±√(b²-4ac))/(2a)
w = (-12±√(12²-4×1×(- 34.56)))/(2×1)
w = (-12±√(144+138.24))/(2)
w = (-12±16.8)/2
w = -6 ± 8.4
w = -6 + 8.4 or -6-8.4
w = 2.4 or w = -14.4
Since the width cannot be negative.
Thus, w = 2.4 inches
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2000 plus 300 plus 65
Answer:
2000+ 300 + 65 = 2,365
Step-by-step explanation:
Answer:
2000 + 300 + 65 = 2365