Which of the statements is true?

A. For every value of x, the rate of change of f(x) exceeds the rate of change of g(x).

B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).

C. At approximately x = 4.74, the rate of change of g(x) is equal to the rate of change of f(x).

D. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).

Answers

Answer 1

A statement that is true include the following: B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).

How to determine the average rate of change?

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function f(x) over the interval [0, 1]:

a = 0; f(a) = 1

b = 1; f(b) = 6

By substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (6 - 1)/(1 - 0)

Average rate of change = 5/1

Average rate of change = 5

For g(x), we have the following:

Average rate of change = (216 - 0)/(1 - 0)

Average rate of change = 216/1

Average rate of change = 216

Read more on average rate of change here: https://brainly.com/question/26938069

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Related Questions

An equation is shown. What is the value of 12x that makes the equation true?

12x + 4x = 15/2 + 4x

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Answer:

x = 5/8

Step-by-step explanation:

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divide the two numerators and get 3.25 multiply 13 hours by that and the answer to the first part is 42.25

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Find the sales tax....

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Answer:8.75

Step-by-step explanation:

if giselle had five books sets and gave 9 books away and has 26 left how many were in the bookset

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Answer:

7 in each book set

Step-by-step explanation:

26+9= 35 (total # of books)

35/5= 7 ( # of books in a book set)

26 + 9 = 35
35 / 5 = 7
So the answer is 7 books per book set!
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Answer: N = 10

Step-by-step explanation:

-(n - 8) = -2

Distrubute

-n + 8 = -2

Minus 8 from both side

-n = -10

Divide both side by -1 to make it positive

N = 10

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46+ 2/7w
w= -1/2
You don't need to show your work

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46.1428 or -46(3/14)

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the answer is 2(3) x 5(1) x 7(1)

Answer: 16? Don't trust me.

Step-by-step explanation:

(3 + 1)(1 + 1)(1 + 1) = 4 x 2 x 2 = 16

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2 2/5 multiplied by 2 multiplied by 3 1/5

Answers

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

2×5+2

×2×3

2 Simplify 2\times 52×5 to 1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

10+2

×2×3

3 Simplify 10+210+2 to 1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

×2×3

4 Convert 3\frac{1}{5}3

to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

×2×

3×5+1

5 Simplify 3\times 53×5 to 1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

×2×

15+1

6 Simplify 15+115+1 to 1616.

\frac{12}{5}\times 2\times \frac{16}{5}

×2×

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

8 Simplify 12\times 212×2 to 2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

9 Simplify 24\times 1624×16 to 384384.

\frac{384}{5\times 5}

5×5

384

10 Simplify 5\times 55×5 to 2525.

\frac{384}{25}

384

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

2 2/5 times 2 times 3 1/5= 24/25

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Answers

Answer:

student a answered correctly

Step-by-step explanation:

student b didn't multiply the crossproducts

Answer:

Student B has the correct answer

Between the two proportions you are looking for number which are related in the same way.

When dividing 45 by 15 you get 3, you should also get 3 when dividing the proportion next to it.

To Solve-

Cross multiply 6 x 15 =90

Then divide by 45

The correct answer is 2

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Answer:

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Step-by-step explanation:

With each hour you rent the paddleboard the price goes up.

Time= independent variable

Cost= Dependent variable

Which expression is equivalent to 3d - d + 4 + d

A. 4d + 4
B. 4d - 4
C. 3d - 4
D. 3d + 4

Answers

Answer:

Step-by-step explanation:

D

Explanation: 3d - d + 4 + d
Collect like terms
3d - d + d + 4
- d + d = 0
Answer = 3d + 4

Jada's brother drives 18 miles to work and then a quarter of that distance again. How far does Jada's brother drive?

Answers

18+4.5

A quarter of eighteen is 4.5

Find the amount of sales tax if the sales tax rate is 5% and the cost of the winter coat is $40. Hint: this question is only asking for the sales tax.

Answers

Answer:

40/100*105 = 42

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Use substitution to find the ordered pair of the following system of equations:

y=6x
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(_,_)

Answers

Answer:

first substitute 'y' in 2nd equation by right side of 1st one and you get:

now substract 5x from both sides of 2nd equal and you get:

as a result of the equal above you get:

now substitute x in very first equation by the result from above (x=7):

Step-by-step explanation:

sorry if its wrong

6x = 5x + 7
-5x -5x
——————
x = 7
y = 6x
y = 6(7) = 42

Your answer: (7, 42)

i+5 < 3u+5
subtract 5 from each side
what do we have left

Answers

Answer:

i+2<3u+2 is the answer for your question.

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Answers

Area formula for a triangle is 1/2BxH

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Answers

1a) To find the total area, you must find the area of the triangular part that is missing, then subtract this from the area of the rectangle. For the triangle’s area, you need to know the width (2m) and length (2m). For the rectangle’s area you need to know the width (3m) and length (4m).
1b) the total area is 10m^2 (10 meters squared). This is found by subtracting the triangle (.5x2x2=2) from the rectangle (3x4=12).

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Which expression is equivalent to 4s + 3 - 3 - s

A. 3s + 6
B. 4s + 0
C. 3s
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Answers

Answer:

C. 3s

Step-by-step explanation:

What is the area of `∆STR`?

A.
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B.
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D.
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i believe the answer is A i

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Answer:

do u want me to solve it??

Step-by-step explanation:

She didn’t align the decimals correctly when she subtracted. The correct answer is 15.457 .

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Use the formula P = 2l + 2w. Find the perimeter of a rectangle with a length of 12.9 ft and a width of 19.3 ft. Show all of your work.

Answers

p = 2(12.9) + 2(19.3)
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After a power failure, the temperature in a freezer Increased at an average rate of 3.5 °F per hour. The total Increase was 24.5 °F. Enter and solve an equation to find the number of hours until the power was restored. Let x represent the number of hours it takes for the temperature to increase to 24.5 °F.

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Answer:

3.5x=24.5

3.5x7=24.5

X=7

Step-by-step explanation:

3.5 times what equals 24.5

3.5x1=3.5

3.5x2=7

3.5x3=10.5

Keep doing this and increase the number you are multiplying 3.5 by until your answer is 24.5.

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Answer:-18x^5y^{6z+2}

Step-by-step explanation:

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The spinner is spun 240 times. What is a reasonable prediction
of it landing on a number less than 3?

Answers

Answer:

60 times

Step-by-step explanation:

2/8 pieces of the circle are less than three

2/8 = 25% chance of landing less than 3

240 * 25% = 60

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Answers

Answer:

so like I just looked it up so try

-4

----

-4

Answer:

10/27

Step-by-step explanation:

To figure this out, first subtract 8/15 from 6/5.

Before we can do that though, we need a common denominator. The LCM of 5 and 15 is 15. (5 * 3 = 15; 15 * 1 = 15) 8/15 already has 15 has a denominator, so that doesn't need to be modified. 6/5 becomes 18/15 (6 * 3 = 18).

Subtract 8/15 from 18/15 to get 10/15. This simplifies to 2/3.

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The spinner is spun 48 times. What is a reasonable prediction of landing on the letter E?

Answers

Answer:

because that is the right amount of times you spun it

Step-by-step explanation:

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Answer:

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Step-by-step explanation

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3x + 9 if you don’t know what x equals.

Answer:

3x+9

Step-by-step explanation:

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