Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
the function over the interval 1 < x < 7.

Answers

Answer 1

Answer:

4

Step-by-step explanation:

ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1

24/6 = 4


Related Questions

What expression is equivalent to 5(x+7)

Answers

Answer:

5x + 35

Step-by-step explanation:

Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.

Image_7181

If Mrs. Smith needs a toy chest that has at least 35 ft3 of storage space, which chest should she purchase

Answers

The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

Width = 2 feet

Height = 4 feet

Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; Only toy chest A will provide the necessary storage space

Possible question options obtained from a similar question found online are;

Either toy chest have the storage space needed

Neither has the storage space needed

Only toy chest A

Only toy chest B

Learn more about calculating volumes of various shapes here:

https://brainly.com/question/3789826

What are the coordinates of point Q?

How many units below the x-axis is point Q?

Will point Q' be above or below the x-axis?
How many units above or below the x-ax will it be?
Does reflection across the x-axis change the x-coordinates? If yes, how?
Does reflection across the x-axis change the y-coordinates? If yes, how?
What are the coordinates of point Q?
What are the coordinates for the other vertices of Q'R'ST?
R’
S’
T’
Draw figure Q’R’S’T’ on the coordinate plane and label the pints at the vertices

Answers

Answer:

Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);

Step-by-step explanation:

even after a reflection over the x-axis, each points distance from the x-axis will stay the same

the x-coordinates don't change because the distance from the y-axis stays the same

the picture below shows points of Q'R'S'T', just connect the vertices

Hemp help help help help help math math math

Answers

Answer:

x=25

Step-by-step explanation:

5x-5+  2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

PLEASE GIVE ME THE ANSWER ASAP

What is the solution to this system of linear equations?
5x + 6y = 29
3x + 6y = 27
A. (7,1)
B. (1,7)
C. (4,1)
D. (1.4)

Answers

Answer:

no answer b/c the terms are unlike term

Answer:

D. ( 1,4)

Step-by-step explanation:

Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?

Answers

Answer:

182.91

Step-by-step explanation:

First multiply the cost of the meal by the sales tax percentage as a decimal (.14)

[tex]136.50*.14=19.11[/tex]

Then multiply the cost of the meal before sales tax by the tip percentage

[tex]136.50*.2=27.30[/tex]

Then add the tip and the sales tax on top of the cost of the meal to calculate the total cost

[tex]136.5+19.11+27.3=182.91[/tex]

Simplify.

1/cosθ + tan^2θ/cosθ

• 1 + sinθ
• sec^3θ
• 1
• cos^3θ

Answers

Answer:

I'm guessing the answer is sec³θ

Step-by-step explanation:

I tried this problem and I got 1/cos³θ and clicked cos³θ, but that answer was incorrect. In my lesson, there were the options:

1. sec³θ

2. cos³θ

3.  secθ

I didn't have options 1 + sinθ or 1 as answers. If sec³θ is not the correct answer, please correct me.

f(x)= -2x^3 +14x -8
g(x)= 2x+6

Answers

Answer:

F(2x+6)=-16x^3-144x^3-404x-356

Step-by-step explanation:

Which table does NOT represent a linear function?

Answers

Answer:

3rd

Step-by-step explanation:

3rd one because rate of change is not same

18 - 15 / 0 - -1 = 3

20 - 18 / 1 = 2

21 - 20 / 1 = 1

Answer: i honestly think it would be the table with:

-1,15

0,18

1,20

2,21

Step-by-step explanation: hope this helped ty for the points

Solve ^3/x^2-8=2 pls help

Answers

Answer:

its the first one

Step-by-step explanation:

3. Find the difference between the two expressions.
(3/5x - 5y) - (4/5x + 2y

Answers

Answer:

[tex]^{-1}/_{5}x-7y[/tex]

Step-by-step explanation:

Our equation is

[tex](^{3}/_{5}-5y)-(^{4}/_{5}+2y)[/tex]

now we distribute the - and we get

[tex]^{3}/_{5}-5y-^{4}/_{5}-2y[/tex]

[tex]Combine[/tex] [tex]like[/tex] [tex]terms[/tex]

and now we have [tex]^{-1}/_{5}x-7y[/tex]

Round 0.13171 to the thousandths place (three decimal places).

Answers

Answer is 0.132 ........
0.132, and that’s pretty much it

I need help please I don't understand this ​

Answers

Answer:

So

12 would round to 12

0.49 would round to 0

or could possibly round to 0.50

Step-by-step explanation:

So, 12 x 0.49

would be about

12-13

#Nova

Have a good day


A bag of marbles consists of 14 blue marbles and 7 red marbles. If you reach into the bag and choose 2 marbles,
what is the probability that they are both blue? Assume the first marble is not replaced.

Answers

Answer:

chances are 10.5

Step-by-step explanation:

you select a card at random from a standard deck of 52 cards. In how many ways can you select a black card

Answers

Answer:

26

Step-by-step explanation:

in a deck of 52 cards there are 52/2 = 26 black cards

so there are 26 ways you can select a black card

(NO LINKS AND DON'T COMMENT IF YOU DON'T KNOW)Compare the ratios using the models. Which statements are true? Check all that apply. 7 to 16 The model for the ratio 7 to 16 should show 7 cells shaded. The model for the ratio 6:8 should show 8 cells shaded. The ratio 7 to 16 is greater than 6:8. The ratio 6:8 is greater than the ratio 7 to 16. 6.8​

Answers

Answer:

Step-by-step explanation:

Hi sorry if I’m bugging just trying to help out by getting Them B bye

At a store, 4 shirts cost $25 and 6 shirts cost $37.50.

Part A:
Is there a proportional relationship between the shirts and their cost? If so, what is the unit rate for one shirt?

Answers

Yes, each shirt is $6.25.

The _______ of an observation is determined by how far the values of the independent variables are from their means.

Answers

Answer:

The leverage of an observation is determined by how far the values of the independent variables are from their means.

If Toye, whose speed is in ratio 5:6 to Koye uses 72min to finish a race. How long will the same race take Koye?​

Answers

Answer:

86.4

Step-by-step explanation:

Toye:Koye

5:6

5 - 72

6

(6*72) ÷ 5

=86.4 min

F(x)=x^2. What is g(x)?
A. G(x)=-x^2
B. G(x)=-2x^2
C. G(x)=-x^2-2
D. G(x)=x^2-2

Answers

[tex] - x ^{2} - 2 = gx[/tex]

Definition of living being ​

Answers

(Biology) the state or quality that distinguishes living beings or organisms from dead ones and from inorganic matter, characterized chiefly by metabolism, growth, and the ability to reproduce and respond to stimuli.

Help help help help help help help help help help help

Answers

Answer:

A' 2,2

B' 3, -1

C' -1,0

Step-by-step explanation:

Because you're translating it by -2, 3, you're basically subtracting 2 from the x value and adding 3 to the y value.

A = 4, -1

A' = 2, 2

B = 5, -4

B' = 3, -1

C = 1, -3

C' = -1, 0

Plot the point (6, 0) on the coordinate plane.

Answers

Answer:

Just go to the 6 on the bottom line, and add a point

Answer:

see below

Step-by-step explanation:

(6,0)

 The first coordinate is the x coordinate.  Since it is positive we go to the right 6 units.  The second coordinate is the y coordinate.  We go up zero units

Sally I went to the store and when is it by potato she noticed a sign that said six potatoes cost nine dollars

Answers

Answer:

Sally shouldn't be alone she has down syndrome.

Step-by-step explanation:

How many solutions are there to the equation shown below?
4(2x−3)−2x=6x+8

pls answer ASAP I will give brainliest to the first

Answers

Answer:

0 = 20

Step-by-step explanation:

4(2x−3)−2x=6x+8

8−12−2=6+8

combine like terms.

8x−12−2x=6x+8

6−12=6+8

Add 12 to both sides of the equation

6x−12=6x+8

6−12+12=6+8+12.

calc 3 iiiiiiiiiiiiiiiiiiiiiiiiiiii

Answers

Take the Laplace transform of both sides:

L[y'' - 4y' + 8y] = L[δ(t - 1)]

I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :

(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]

s²Y - 4sY + 8Y = exp(-s)

(s² - 4s + 8) Y = exp(-s)

Y = exp(-s) / (s² - 4s + 8)

and complete the square in the denominator,

Y = exp(-s) / ((s - 2)^2 + 4)

Recall that

L⁻¹[F(s - c)] = exp(ct) f(t)

In order to apply this property, we multiply Y by exp(2)/exp(2), so that

Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)

Then taking the inverse transform, we have

L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]

L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]

L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]

Next, we recall another property,

L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)

where F is the Laplace transform of f, and u(t) is the unit step function

[tex]u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}[/tex]

To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is

L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)

Then we find

L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))

and so we end up with

y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)

For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?​

Answers

Three to Ten  3:10

...................................................

What percent of 75 is 15? What percent of 15 is 75? What percent of 48 is 20? What percent of 88 is 88?

Answers

1. 70 is what percent of 15? =20

2. 15 is what percent of 70? =20

3. 48 is what percent of 20? = 41.67

4. 88 is what percent of 88? =100

A weight-loss clinic advertised that last month its patients, on average,8lb lost . Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last month all of their patients lost at8lb least . Last month more than half of their patients lost at least 8lb. Last month some of their patients lost more than4lb . Last month at least one of their patients lost exactly 8lb. Two months ago some of their patients lost at least 8bl. None of the above statements are true.

Answers

Answer:

Given:

A weight-loss clinic advertised that last month its patients, on average, lost 8 lbs

Average refers to mean

a. Last month all of their patients lost at least 8 lbs.

Answer: Mean or average is a measure of central tendency or in other terms refers to the central value of the dataset. If the value of mean/average is 8lb, it signifies that there are some patients who have lost weights more than 8 lbs. So, this statement is False

b. Last month at least one of their patients lost exactly 8 lbs.

Answer: It is a possibility that all the patients have lost their weights greater than or less than 8 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost exactly 8lbs. So, this statement is False.

c. Two months ago some of their patients lost at least 8 lbs.

Answer: It is clearly mentioned that last month its patients, on average, lost 8 lbs. No information is given about the weight loss of patients before the last month. So, there is not sufficient data to check whether this statement is correct or not.

d. Last month at least one of their patients lost less than 3 lbs.

Answer: It is a possibility that all the patients have lost their weights greater than 3 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost less than 3lbs. So, this statement is False.

e. Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs.

Answer: Mean is a measure of central tendency which is computed by the diving sum of all observations with the number of all observations (the sum of observations lesser than the mean is compensated by the sum of observations greater than the mean) and for the mean equal to 8lbs, there should be an equal number of people who lost less than 8 lbs and the number of people who lost more than 8 lbs. Hence, this statement is True.

Answer e.Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs is True

the statements that must be true based on the information are:

- Last month all of their patients lost at least 8 lb.

- Last month more than half of their patients lost at least 8 lb.

- Last month some of their patients lost more than 4 lb.

- Last month at least one of their patients lost exactly 8 lb.

Based on the information provided, we can make the following conclusions:

1. Last month, all of their patients lost at least 8 lb. (This statement is true since the average refers to the mean, and the average weight loss was 8 lb. Therefore, all patients must have lost at least 8 lb.)

2. Last month, more than half of their patients lost at least 8 lb. (This statement is true since the average weight loss was 8 lb, which means that at least half of the patients must have lost 8 lb or more. As the average is pulled up by higher values, more than half should have achieved at least 8 lb weight loss.)

3. Last month, some of their patients lost more than 4 lb. (This statement is true since the average weight loss was 8 lb. If the average is 8 lb, then there must be patients who lost more than that, and losing more than 4 lb is definitely possible.)

4. Last month, at least one of their patients lost exactly 8 lb. (This statement is true since the average weight loss was 8 lb. For the average to be exactly 8 lb, at least one patient must have lost exactly 8 lb.)

5. Two months ago, some of their patients lost at least 8 lb. (There is no information provided in the given data to make any claims about weight loss two months ago, so we cannot conclude this statement based on the information given.)

So, the statements that must be true based on the information are:

- Last month all of their patients lost at least 8 lb.

- Last month more than half of their patients lost at least 8 lb.

- Last month some of their patients lost more than 4 lb.

- Last month at least one of their patients lost exactly 8 lb.

The statement "Two months ago some of their patients lost at least 8 lb" cannot be determined from the given information, so it is not necessarily true or false based on the data provided.

Learn more about weight loss here

https://brainly.com/question/29144375

#SPJ2

solve pls brainliest

Answers

Answer:

The answer is 57.6

Step-by-step explanation:

6 x 9.6 = 57.6

1.6 pounds should be the answer
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