What is the value of c in the equation below?

What Is The Value Of C In The Equation Below?

Answers

Answer 1

Answer:

1/4

Step-by-step explanation:

[tex]x^y \ctimes x^z = x^{y + z}[/tex]

[tex]2^{-4} \cdot 2^2 = 2^{-4 + 2} = 2^{-2} = \frac{1}{2^2} = \frac{1}{4}[/tex]


Related Questions

PLEASE HELP!!! ASAP!! FIND THE DOMAIN AND RANGE OF THEESE GRAPHS

Answers

Answer:

Domain: [-2, infinity)

Range: [-4, infinity)

Step-by-step explanation:

There's only one graph I see.

Domain is how far the graph extends on the x axis.

Range is how far the graph extends on the y axis.

When f(n)=32 what is the value of n

Answers

Answer:

32

Step-by-step explanation:

That is a weird question. Usually questions like that include a variable. Its like saying n = 32. It just gives the answer. Assuming you didn't miss anything, this is the answer.

THIS IS IMPORTANT
Where can you find the pulse that is closest to your head?

elbow

wrist

neck

foot

Answers

Answer:

Neck

Step-by-step explanation:

Which one is closest to your head?

T-T

as the first step in solving 3x-1=8, Stella multiplies by 1/3 on both sides. what advice would you give her about the procedure for solving equations

Answers

Before multiplying both sides of the equation by 1/3, first move the -1 over to the right side with a plus, so we get 3x = 9. Then multiply by 1/3 and you get x = 4

Answer:for solving equations your trying to get the x by itself so multiplying 1/3 on both sides doesn't eliminate 1 so that you can have 3x by itself

Step-by-step explanation:hope that helps

What is 2/3 x 9 in fraction?

Answers

The answer is 6/1, hope this helps

Answer: it would be 18/3 or

Step-by-step explanation:

2/3 x 9 = ?

1) You multiple both numerator and denominator: 2x9 / 3x1 = 18/3

2) Find the GCF ( greatest common factor) for both numbers. Which is

3) Then divide both the numerator and denominator by 3 to simplify to it's lowest term: 18÷3= 6 and 3÷3= 1 which gives a fraction of 6/1 or

Does the mapping diagram represent a function? Why or why not?

x -7 -1 8
y -4 4

A. No; the input values x = -7 and x= -1 are paired with the same output value.
B. No; each input pairs with only one output. C. No; the output value y = -4 pairs with two different input values.
D. Yes; each input pairs with only one output.​

Answers

Answer:

D

Step-by-step explanation:

A relation is a function is each input maps onto no more than one output.

Complete the final two columns in the following frequency distribution table and then find the percentiles
and percentile ranks requested:
X f cf c%
5 2
4 5
3 6
2 4
1 3

Answers

we have found out the cumulative frequency (c f) and percentiles(c %) for the given data.

We are given the frequency distribution table as:

X                 f    

5                 2

4                 5

3                 6

2                 4

1                  3

We need to find cumulative frequency (c f) and percentiles(c %)

c % = 100 × ( c f / n )

c f means the frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors.

n = 20

X                 f             c f             c %

5                 2              2            10 %

4                 5              7            35 %

3                 6             13            65 %

2                 4             17            85 %

1                  3            20           100 %

Therefore, we have found out the cumulative frequency (c f) and percentiles(c %) for the given data.

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Find the next item in the
pattern:
-3, 6, -12, 24, ...

Answers

Answer: -48, 96, -192 ….. ( basically we just multiply the last number we found with -2)

Write the equation of a line perpendicular to the line: y = 2x - 1 that goes through the point (-8, -5).
Write your answer in slope- intercept form, using reduced fractions for the slope and intercept

Answers

The equation of a line perpendicular to the line is y = (-1/2)x - 9

Slope of the line perpendicular to y = 2x - 1, m =-1/2;

Therefore, equation of line perpendicular to given line in slope- intercept form is; y = (-1/2) x + c;

This line passes through (-8, -5); therefore;

-5 = (-1/2)(-8) + c;

c = -9;

Therefore, equation of required line is y = (-1/2)x - 9;

Perpendicular lines are two non-vertical lines in the same plane that intersect at a right angle. Horizontal and vertical lines are perpendicular to one other, forming the coordinate plane's axes. Negative reciprocals are the slopes of two perpendicular lines.

Vertical and horizontal lines are parallel to each other. In this scenario, the slope of the perpendicular line is equal to the slope of a horizontal line, which is 0. The slope of the parallel line is 0 while the slope of the perpendicular line is unknown.

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A ball is thrown from an initial height of 6 feet with an initial upward velocity of 40 fVs. The ball's height h (in feet) after / seconds is given by the following.
h=6+401-16r²
Find all values off for which the ball's height is 28 feet.
Round your answer(s) to the nearest hundredth.

Answers

The value for which the ball's height is 28 feet are 0.817sec and 1.683sec using quadratic equations.

What is a quadratic equation?

In algebra, a quadratic equation( from Latin quadratus' forecourt') is any equation that can be rearranged in standard form as

ax^2 + bx + c = 0

where x represents an unknown, and a, b, and c represent known figures, where a ≠ 0. is still, not quadratic, as there's no ax^2 term,( If a = 0( and b ≠ 0) also the equation is direct.)

The figures a, b, and c are the portions of the equation and may be distinguished by calling them, independently, the quadratic measure, the direct measure, and the constant or free term.The values of x that satisfy the equation are called results of the equation, and the roots or bottoms of the expression on its left-hand side. A quadratic equation has at most two solutions.

Given,

h(0)=6 ft (six)

v(0)=40 ft/sec (fourty)

h(t)=6+40t-16t2 (equation)

for h=28 ft(twenty eight)

28=6+40t-16t2 (equation)

or 16t2 - 40t + 22 = 0 (equation)

or 8t2 - 20t + 11= 0(equation)

on solving the quadratic equation

t=0.817sec and 1.683sec (answer)

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The curve is the graph of function f. Use the graph to find the value of the function for the following values of x: -2,-.5,0,2.5, and 6.

Answers

Answer:

1, 0.75, 1.25, 3, 0

Step-by-step explanation:

To find the value of the function, we find the y coordinate of the point with the given x value.

ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST and also explain what explicit rule is..​

Answers

Check out the attached photo

Help please thank you

Answers

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

We know that GE = [tex]x+21[/tex] = [tex]2x+23+9[/tex]

Calculate accordingly!

[tex]x+21=2x+23+9[/tex] ( minus [tex]2x[/tex] and minus 21 )

[tex]x-2x=-21+23+9[/tex]

[tex]-x=11[/tex]

Therefore,

[tex]x=-11[/tex]

( You can test this out by substituting the values )

Hope this helps!

I cannot do this help me to this

Answers

we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.

How to identify if the triangles are similar?

Two figures are similar if the figures have the same shape, but different size.

So, one figure is a dilation/contraction of the other figure.

In this case of the triangles, two are similar if and only if all the correspondent internal angles have the same measure.

For the case of the image, the triangles:

RST and RUV

would be similar if and only if line ST and line UV are parallel, in that case we would get that the angles at S and U are equal, and the same for the angles at T and V.

In this particular case, there is no indication that ST and UV are parallel. (they may be, the may not be)

So we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.

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dam n bro uglier den a redneck on a sunday

Step-by-step explanation:

A local hamburger shop sold a combined total of 684 hamburgers and cheeseburgers on Saturday. There were 66 fewer cheeseburgers sold than
hamburgers. How many hamburgers were sold on Saturday?

Answers

Answer:

375

Step-by-step explanation:

Let the number of hamburgers sold be x. Then, x-66 cheeseburgers were sold.

[tex]x+x-66=684 \\ \\ 2x=750 \\ \\ x=375[/tex]

How many quarts of pure antifreeze must be added to 6 quarts of a 20% antifreeze solution to obtain a 60%
antifreeze solution? (Hint: pure antifreeze is 100% antifreeze.)
...

Answers

Answer:

  6 quarts

Step-by-step explanation:

You want to know the number of quarts of 100% antifreeze to add to 6 quarts of 20% antifreeze to make a 60% solution.

Setup

Let x represent the number of quarts of 100% antifreeze added to the solution. Then the total amount of antifreeze in the mixture is ...

  20%(6) +100%(x) = 60%(6 +x)

Solution

Simplifying the equation, we have ...

  1.2 +x = 3.6 +0.6x

  0.4x = 2.4 . . . . . . . . . subtract 0.6x+1.2 from both sides

  x = 6 . . . . . . . . . . divide by 0.4

6 quarts of pure antifreeze must be added.

A startup sports public relations company is looking to grow. They currently represent 1 client and plan on representing 2 additional clients each year. The following graph can be used to
help determine the number of clients, y, the company will have after x years.
Based on the context, what is the range of the function?

Answers

The range the number of clients, y, the company will have after x years of the function will be -∞ ≤ y ≤ ∞

What is Range and Domain ?

The range of a function is the complete set of possible dependent variable values. While domain is the set of all possible independent values. We can substitute domain to get range.

From the given graph, the line of the equation of the graph is a linear. We can then say that y = - ∞, y = 1 and y = ∞

Y = 1 when x = 0

Therefore, the range of the function will be -∞ to +∞ That is,

-∞ ≤ y ≤ ∞

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Answer:

1,∞ is the answer

Step-by-step explanation:

A produce store sold 63 apples If the ratio of red apples to green apples sold was 7:2 What is the combinded amount of red and green apples sold?​

Answers

Answer:

The total amount of apples sold is 63.  There were 49 red apples and 14 green apples

Step-by-step explanation:

red: green : total

7          2       7+2

7          2          9

When we use the ratios, the total is 9

We are given the total is 63

63 divided by 9 is 7

We need to multiply each number by 7

red: green : total

7*7      2*7       9*7

49       14             63

The total amount of apples sold is 63.  There were 49 red apples and 14 green apples

Answer:

the answer is red apples 49 and green apples 14.

A. Write the FF sets using the roster method:

B. Complete the FF by writing each set in three defferent ways :​

Answers

The roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.

We are given some sets in descriptive form.

We have to write it in the roster form.

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

1 ) The set of all counting numbers less than 10.

Roster form will be:

S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}

2) The set of primary colors.

Roster form will be:

S = { blue, red, green }

3 ) The set of all subjects in grade 7 level:

Roster form will be:

S = { Math, Science, English, Hindi, SST, Computer }

Therefore, the roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.

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solve: let f(x)=2x-1 and g(x)=x^2-4. find g(f(x))

Answers

Answer:   g(f(x)) = 4x^2 - 4x - 3

Work Shown:

g(x) = x^2 - 4

g(f(x)) = ( f(x) )^2 - 4

g(f(x)) = ( 2x-1 )^2 - 4

g(f(x)) = (2x-1)(2x-1) - 4

g(f(x)) = 4x^2-2x-2x+1 - 4

g(f(x)) = 4x^2 - 4x - 3

At a school concert the total value of tickets sold was $3888. Student tickets sold for $7 and adult tickets sold for $10. The number of adult tickets sold was 6 less than 4 times the number of student tickets. Find the number of student tickets sold.

Answers

Number of student tickets sold = 84

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Let the number student tickets sold = x

Let the number adult tickets sold = y

7x+10y = 3888 -----------i

y = 4x-6 ----------------------ii

Substituting eq ii in i

7x + 10 ( 4x -6) = 3888

7x + 40x - 60 = 3888

47x = 3888+60

x = 3948 / 47

     = 84

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graph the lines Slope -1 passing through point (2,2)

Answers

The graph of the equation (y = x ) is attached below and this can be determined by using the point-slope form of the line.

Given :

A line with a slope of 1 that passes through the point (2,2).

The following steps can be used in order to sketch the graph a line with a slope of 1 that passes through the point (2,2):

Step 1 - First, determine the equation of the line that passes through the point (2,2) and has a slope of 1

Step 2 - Point-slope form can be used in order to determine the equation of a line.

y-y1 = m(x- x1)

where m is the slope and (x1, y1)  is the point on the line.

Step 3 - Substitute the known terms in the above formula.

y-2 = 1(x-2)

Step 4 - Simplify the above equation.

y-2=x-2

x=y

Step 5 - Now, graph the above equation. The graph of the equation

(y = x ) is attached below.

                                               

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Betsy, a recent​ retiree, requires ​$5000 per year in extra income. She has ​$60000 to invest and can invest in​ B-rated bonds paying ​13% per year or in a certificate of deposit​ (CD) paying ​5% per year. How much money should be invested in each to realize exactly ​$5000 in interest per​ year?

Answers

Betsy needs to  invest $32,000 in the B-rated bonds paying 13% interest and $28,000 in the certificate of deposit paying 3% interest.

Interest is calculated by multiplying the rate with the principal.

Let x = the amount Betsy will invest in the B-rated bonds paying 13% per annum. The remaining amount, $60,000-x , she will invest in the certificate of deposit paying 3% per annum.

We can express the earnings on these two investments, after converting the percentages to their decimal equivalents, as: 0.13x+0.03(60000-x) and this is to earn a total of $5,000

Now we can write the necessary equation to solve for x.

or, 0.13x+0.03(60000-x) = 5000

or, 0.13x+1800-0.03x = 5000

or, 0.1x+1800 = 5000

or, 0.1x = 3200

or, x = 32000

So Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and the remainder ($60,000-$32,000 = $28,000) in the certificate of deposit paying 3% interest to obtain $5,000 in interest per annum.

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The base rate for workers compensation insurance for roofers in one state is $16.95 per $100 paid to employees. The total monthly payroll for Certified Roofing Contractors is $15,738. What is the monthly premium for workers compensation insurance?

Answers

Answer:

3.3972 repeating dbbdeebebbbebe

Step-by-step explanation:

wvehhww3g33gg3g33vv3hh333h33hhh3

Answer:

C. not covered by workers' compensation and could recover damages from the employer.

Step-by-step explanation:

Use Lagrange multipliers to find the minimum value of the function, f(x,y)= x2 + y2 subject to the constraint x + y =1

Answers

The Lagrangian is

[tex]L(x,y,\lambda) = x^2 + y^2 - \lambda (x + y - 1)[/tex]

Find its critical points.

[tex]\dfrac{\partial L}{\partial x} = 2x - \lambda = 0 \implies x = \dfrac\lambda2[/tex]

[tex]\dfrac{\partial L}{\partial y} = 2y - \lambda = 0 \implies y = \dfrac\lambda2[/tex]

[tex]\dfrac{\partial L}{\partial\lambda} = -(x+y-1) = 0 \implies x + y = 1[/tex]

From the first two conditions, [tex]x=y[/tex], so

[tex]x + y = 2x = 1 \implies x = y = \dfrac12[/tex]

At the point (1/2, 1/2), compute the Hessian determinant of [tex]f(x,y)[/tex].

[tex]H(x,y) = \begin{bmatrix} \dfrac{\partial^2f}{\partial x^2} & \dfrac{\partial^2f}{\partial x \partial y} \\\\ \dfrac{\partial^2f}{\partial y\partial x} & \dfrac{\partial^2f}{\partial y^2} \end{bmatrix} = \begin{bmatrix}2&0\\0&2\end{bmatrix}[/tex]

[tex]H(x,y)[/tex] is positive definite for all [tex]x,y[/tex], which indeed indicates a local minimum at (1/2, 1/2), so that

[tex]\min\left\{x^2+y^2 \mid x+y=1\right\} = f\left(\dfrac12,\dfrac12\right) = \dfrac14+\dfrac14 = \boxed{\dfrac12}[/tex]

Suppose that for a function g (x), g (4) = 7. Select all of the statements that are true.
A. 4 is in the range of g.
B. For a value a, it is possible that g (a) = 4.
C. For a value y, it is possible that g (4) = y.
D. The point (4,7) is on the graph of y = g (x).
E. The point (7,4) is on the graph y = g (x).

Answers

Answer:

B and D

Step-by-step explanation:

The wording in the answer choices make a huge difference. It is possible implies that there is a possibility

A is false. The range of a function is the output value of the function for the input value in the domain of the function. So we can say with certainty that 7 is in the range since it is an output. But we cannot state that 4 is in the range because we have only one output value 7 for g(4)

A good example is a constant function such as g(x) = 7. Here, whatever the value of x, the y value is always 7. This represents a horizontal line passing through y = 7. So the range is just a single number {7}

B can be true. It is possible but not a certainty that f(a) = 4 for some value of a. For example, consider the function g(x) = x + 3.

At x = 4, g(4) = 4 .1 + 3 = 7

At x = 1, g(1) = 1 + 3 = 4 so it is possible for 4 to be an output

C is false. A well-defined function has only a unique value for a specific input of x. So we cannot get two different values for a single x value.

D is true. Since at x =4, y = g(x) = 7, this corresponds to a point on the graph. The point will be (x=4, y =7) or (4,7)


E is false. The x, y coordinates have been interchanged in this answer choice

The true statements are B and D.

The wording in the answer choices make a huge difference.

It is possible implies that there is a possibility

A. 4 is in the range of g.

A is false.

The range of a function is the output value of the function for the input value in the domain of the function. So we can say with certainty that 7 is in the range since it is an output. But we cannot state that 4 is in the range because we have only one output value 7 for g(4)

A good example is a constant function such as g(x) = 7.

Here, whatever the value of x, the y value is always 7.

This represents a horizontal line passing through y = 7.

So the range is just a single number {7}

B. For a value a, it is possible that g (a) = 4.

B can be true.

It is possible but not a certainty that f(a) = 4 for some value of a.

For example, consider the function g(x) = x + 3.

At x = 4, g(4) = 4 .1 + 3 = 7

At x = 1, g(1) = 1 + 3 = 4 so it is possible for 4 to be an output.

C. For a value y, it is possible that g (4) = y.

C is false.

A well-defined function has only a unique value for a specific input of x. So we cannot get two different values for a single x value.

D. The point (4,7) is on the graph of y = g (x).

D is true.

Since at x =4, y = g(x) = 7, this corresponds to a point on the graph.

The point will be (x=4, y =7) or (4,7)

E. The point (7, 4) is on the graph y = g(x).

False. The statement doesn't provide any information about g(7), and we cannot determine whether the point (7, 4) lies on the graph of the function y = g(x) based solely on the given information.

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Translate the sentence into an equation.
Six more than the quotient of a number and 4 is equal to 8.
Use the variable x for the unknown number.

Answers

Answer:

(n ÷ 4) + 6 = 8

Step-by-step explanation:

Quotient means The answer when you divide' So we are working in the division.

n ÷ 4 is the division part

It says 'and' which can also mean addition. So we add 6. So far our equation is: (n ÷ 4) + 6 (Brackets are needed as we are dividing n by 4 and not dividing n by 4+6)

Lastly it says the answer must be 8 so we add that at the end. So the answer is:

(n ÷ 4) + 6 = 8

A Question 2 (1 point) Retake question
Which variable expression represents the following word phrase?
four times the sum of five and a number, n
Previous Page
Next Page
2

Answers

Consider the provided phrase.

Four times the sum of five and a number

Let the number is n and the sum of five and a number can be written as:

[tex]n+5[/tex]

Thus, four times the sum of five and a number can be written as:

[tex]4(n+5)[/tex]

Hence, the required expression is [tex]4(n+5)[/tex].

What is phrase in math?

In mathematics, we may use a phrase to describe an expression. When we describe an expression in words that incorporates a variable, we are doing so by using an algebraic expression. An example of this may be the phrase "greater than" (an expression with a variable).

run the numbers. to conduct a rational analysis of an issue. You can do the math because I was the last person to depart yesterday night and the first person to arrive this morning, and since only the overweight security guy was present. on April 7, 2005, by Dave L. Flag.

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2 + (-5) = ? I can't figure this out

Answers

Answer:

Step-by-step explanation:

2 + (-5)

just like subtracting

2-5

=-3

Answer:

-3

Step-by-step explanation:

I have had this question before, and -3 is the answer.

Ray BD bisects angle abc. Find the m angle abd m angle cbd and m abc

Answers

m∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°;

Bisector BD bisects ∠ABC.

∠ABD= (8x+35)°, ∠CBD= (11x+23)°.

As given, bisector BD bisects the angle ABC so this means, the angle ABC is divided into two halves.

So,

angle ABD= angle CBD.

and ∠ABD= (8x + 35)° (i)

∠CBD= (11x + 23)° (ii)

So,

(8x + 35)° = (11x + 23)°

On solving the above equation, we have

3x= 12

x= 4.

Putting x=4 in (i) we have,

∠ABD= 8(4) + 35

∠ABD= 67°

As ∠ABD = ∠CBD, we have

∠CBD= 67°

Now,

∠ABC= ∠ABD + ∠CBD

∠ABC= 67° + 67°

∠ABC= 134°.

Hence, m∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°.

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An expanded income statement is generally divided by the different categories of revenue. the most common categories are:_________ Read the sentence from the fish cheeks and select the transition below. A slimy rock cod with bulging fish eyes that pleaded not to be thrown into a pan of hot oil.A. ThatB. IntoC. With D. None of these Keisha cuts a triangle from a rectangular strip of cloth. What type of triangle did Keisha cut? A. Scalene,RightB. Scalene, AcuteC. Isosceles, RightC. Isosceles, Acute The study of economics would be superfluous (unnecessary) if ______________ did not exist. capital demand scarcity corporations profit What is the probability ofspinning a yellow?[?]% Darwin called the units of inheritance that pass traits from parents to offspring. What is the largest number that rounds to 500 when rounding to the nearest 100? Showhow you know?A:530B:534C:535D:540E:544F:545 How do you write 3 7/8 in a decimal form _____________ pollutants are produced in the air as a part of photochemical smog resulting from a chemical reaction in the presence of sunlight. Which interventions are included in the nursing care for a client receiving magnesium sulfate for severe preeclampsia? The term _________ refers to the original location of a work and indicates the history of ownership of a work of art from the time of its creation to the present. You want to implement a system that uses certificates for identity verification and secure key management. what type of system do you need to implement? What are the fundamental questions that product testing attempts to answer? (check all that apply.) 6. They have swept the room. The function h (x) = startfraction 2 (x 3) over x endfraction is a result of the composition (g f)(x). if g (x) = startfraction 2 over x endfraction, what is f(x)? f (x) = startfraction 1 over x 3 endfraction f (x) = startfraction x over x 3 endfraction f(x) = x 3 f (x) = startfraction x 3 over x endfraction Which colors or color schemes are predominant in this artwork?intermediatecomplementarywarmcool Which did you include in your response?The relation is a function if there is only one point ofintersection for any vertical line on the graph.The relation is not a function if any vertical line hasmore than one point of intersection on the graph.The vertical line test is used to determine if oneinput has exactly one output. A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time will total $13,238, and the variable costs will be $24.75 per book.With the other method, the one time fixed costs will total 50,107, and variable costs will be 11.75 per book. For how many books produced will the costs from the two methods be the same? A mutation occurred in the gene that encodes the enzyme sucrase, resulting in a single amino acid substitution in the active site of the enzyme. A polar amino acid was changed to a nonpolar amino acid. What is a likely result of this mutation?. How can you recognize when two integers are opposite numbers? Opposite numbers are always to the right of zero on the number line. Opposite numbers are always to the right of zero on the number line. Opposite numbers are the same distance from zero on both sides of the number line. Opposite numbers are the same distance from zero on both sides of the number line. Opposite numbers have one even number and one odd number. Opposite numbers have one even number and one odd number. Opposite numbers are always negative.