find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below

What is the coordinate where x=-1 ?

What is the coordinate where x=2?

What is the rate of change between those two points?

Find The Average Rate Of Change Over The Interval [-1,2] (from X = -1 To X = 2) For The Graph Below What

Answers

Answer 1

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the coordinates above:

[tex]slope = \frac{-2-1}{2-(-1)}[/tex]

Simplify:

[tex]slope = \frac{-3}{3} = -1[/tex]

Thus, the rate of change between the points is -1.


Related Questions

A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel chains. There were 114 responses. The average time these 114 general managers had spent with their current company was 11.78 years. Give a 99%; confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company. (Take it as known that the standard deviation of time with the company for all general managers is 3.2 years.)

Answers

Answer:

The 99% confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company is between 11.01 years and 12.55 years.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575*\frac{3.2}{\sqrt{114}} = 0.77[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 11.78 - 0.77 = 11.01 years

The upper end of the interval is the sample mean added to M. So it is 11.78 + 0.77 = 12.55 years

The 99% confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company is between 11.01 years and 12.55 years.

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.

Which statements are true of the solution? Check all that apply.

The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w.

Answers

Answer:

The answers you guys are looking for are C, D, and E

Step-by-step explanation:

I dont have one. :)

The true statements include

(c) The value of w cannot be a negative number.(d) Substitution is used to replace the variable l with a value of 20.(e) The subtraction property of equality is used to isolate the term with the variable w.

How to determine the true statements?

The equation is given as:

2l + 2w = 62

Where:

l = 20

Substitute l = 20

2 * 20 + 2w = 62

Evaluate

40 + 2w = 62

Subtract 40 from both sides

2w = 22

Divide both sides by 2

w = 11

The above computation means that the true statements include (c), (d) and (e)

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ2

simplify the fraction completly
60/100

Answers

Answer: 3/5

Step-by-step explanation: simplified completely

Answer:

35 is the simple answer for this fraction

Caan someone help me answer this!!!

Answers

Answer:

it took 4 minutes for the tub to drain,

the max amount of water in the tub was 35 gallons

at 10:06 the tub was nither filling nor draining

Step-by-step explanation:

hope this helped! be sure to pay attention to the X and Y lables, this is just reading a graph! :)

which of the following can be a Pythagorean triplets?:

a) 2cm 2cm ,4cm b) 5cm, 12cm ,13cm c) 3cm ,5cm ,6cm d) 7cm, 4cm 5 cm.


need full solution
or I'll report ​

Answers

Answer :-

As we know that,

Pythagoras triplet

1) a² + b² = c²

Let

[tex]\sf \: {2}^{2} + {2}^{2} = {4}^{2}[/tex]

[tex]\sf \: 4 + 4 = 16[/tex]

8 ≠ 16Hence, A can't be Pythagoras triplet

2) a² + b² = c²

[tex]\sf \:5 {}^{2} + {12}^{2} = {13}^{2}[/tex]

[tex]\sf \: 25 + 144 = 169[/tex]

169 = 169Therefore, B can be Pythagoras triplet

3)a² + b² = c²

[tex]\sf {3}^{2} + {5}^{2} = {6}^{2}[/tex]

[tex]\sf 9 + 25 = 36[/tex]

34 ≠ 36Hence, C can't be Pythagoras triplet

4) a² + b² = c²

[tex]\sf {5}^{2} + {4}^{2} = {7}^{2}[/tex]

[tex]\sf \: 25 + 16 = 49[/tex]

41 ≠ 49Hence, D can't be Pythagoras triplet

Therefore :-

Only B can be Pythagoras triplet.

-90 = -100 + x help need answer

Answers

Answer:

10 =x

Step-by-step explanation:

-90 = -100 + x

Add 100 to each side to isolate x

-90+100 = -100+100 + x

10 =x

HELLPPPPPPPPP PLEASE! I WILL MARK AS BRAINLIST

Answers

Answer:

It equals 140 because angle 5 is 140

What is ?l4 as a mixed number?

Answers

Answer:

It's a whole number. It cannot be a mixed number. Anyways I would have to know the denominator.

need help someone !!!!!!!!

Answers

it contains from 2 pieces:
1) y=x+1, -2=
2) y=2, 1<=x<=4


Xavier's age is 3 less than Paula's age. Xavier is 11 years old. Which Labtraction equation represents Paula's age?

Answers

Answer:

11 + 3

Step-by-step explanation:

Paula = 11-3

Congruent and similar figures need help I’ll cash app anyone who does my math work $10 for 2 assignments

Answers

First part:
Angle A ≅ Angle T
Angle C ≅ Angle R
Angle D ≅ Angle U
AB ≅ TS
DA ≅ TU
ST ≅ BA

Martha deposited $385.25 into her bank account. After her deposit, there was $832.48 in Martha's account. How much money did Martha have in her account before the deposit?

Answers

Answer:

447.23

Step-by-step explanation:

832.48 - 385.25

which sequence is generated by the rule 3n-1, where n represents the position of a term in the sequence?​

Answers

Answer:

2,5,8,11 ..........

Step-by-step explanation:

What are the dimensions of a 2x4x8

Answers

Answer:   Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.

Step-by-step explanation:

If you are asking what they equal up too, your answer is 16

If this isn't, please correct me and I will give you a better answer

2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?

Answers

Answer:

170 peanuts I believe

Step-by-step explanation:

just did mental math, not sure if it's the right way

Find the perimeter of the figure to the nearest tenth of a centimeter.

2 points

Answers

90918 is the answer

Mitzy earned $3,156 last year at her weekend job, but realized after the year was over that her employer did not deduct any FICA from her paychecks. How much should she have paid in FICA taxes for her earnings last year? How much should she have paid in Social Security tax? How much should she have paid in Medicare tax? Together, they make up FICA. How much should she have paid in FICA?

Answers

PLEASE HELP, I need help with this too !!

Explanation:

62.837 expanded for decimal

Answers

Answer:

60 + 2 + 0.8 +0.03 +0.007

Step-by-step explanation:

Add these up and yo get the same number: 62.837.

IMAX Movie Prices. There were 322 people at a recent showing of the IMAX 3D movie "300". Admission was $8.75 each for adults and $6.00 each for children. Receipts totaled $2531.50. How many adults and how many children attended?

Answers

Answer:

218 adults and 104 children attended.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=322 (1)

8.75x+6y=2531.50 (2), where:

x is the number of adults

y is the number of children

First, you can solve for x in (1):

x=322-y (3)

Then, you can replace (3) in (2) and solve for y:

8.75(322-y)+6y=2531.50

2817.5-8.75y+6y=2531.50

2817.5-2531.50=8.75y-6y

286=2.75y

y=286/2.75

y=104

Finally, you can replace the value of y in (3) to find x:

x=322-104

x=218

According to this, the answer is that 218 adults and 104 children attended.

A bakery did a survey among 100 customers to find their food preference . The customers were asked about their preferences for cupcakes or brownies. Out of the total 72 people who liked cupcakes, 37 also liked brownies. There were 59 people who liked brownies.


Part A. Summarize the data by writing the values that the letters A to I in the table below represents

PART B. What percentage of the survey respondents did not like cupcakes or brownies ?


PART C . Do the survey results reveal a greater dislike for brownies or cupcakes? Justify your answer.






PLZZZ HELP

Answers

Have you found the answer yet?

Answer:

put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle

For the ppl who can click on brainly:

Part A:

Like Cupcakes

Do Not Like Cupcakes

Total

Like Brownies

37

22

59

Do Not Like Brownies

35

6

41

Total

72

28

100

Part b: 6

Part c: You really have to figure out how to word this 37- 72=35 35-41=6

hope it helps

A rectangular window has a width of 3.5 yards and a length of 4.5 yards what is the perimeter of the window in yards

Answers

Answer:

16 yards

Step-by-step explanation:

Perimeter = 3.5 + 3.5 + 4.5 + 4.5

Perimeter = 16 yards

I’m in break out rooms and it’s so awkward, and no ones talking. Can someone help me?

Answers

Answer:

why did you delete my answer??????

Step-by-step explanation:

Please help! I will mark brainliest if your correct!

Answers

The roof top would be 0. At 12 seconds the ball is at -225.6, which would be the ground so the building would be 225.6 meters tall.

The highest positive value is 81.6, so this is the highest the ball goes up.

The value changes from a positive to a negative between 8 and 10, which means that would be around the time it is the same height as the building.

The answers would be:

The first and third choices

A certain triathlon consists of a 3.1-mile swim, a 120-mile bicycle ride, and a 26.6-mile run. At one point, a participant had completed four times as many miles as the
number of miles left to complete. How many miles had he completed at that mark?

Answers

Answer:

26.6a

Step-by-step explanation:

possible derivation:

[tex]\frac{d}{da\\}[/tex] (a 26.6)

Factor out constants:

= 26.6 [ [tex]\frac{d}{da}[/tex] (a) ]

the derivative of a is 1 :

= 1  26.6

What is the quotient?

-4/5➗2

Answers

The answer is -0.4 because I just did it in a calculator.

Find the point-slope equation of the line using the point (3, 5) and slope 3/2

Answers

Answer:

y=3/2x+5

Step-by-step explanation:

so the points are 3,5 and y=mx+b is point slope form.

y = m which is slope and b is y int. so it turns out to be y=3/2x+5.

pleaseee helpppppp helpppppp​

Answers

Given:

The given table represents the ingredient need to make 4 muffins.

To find:

The amount of flour needed to make 12 muffins.

Solution:

We have, the data for 4 muffins.

From the given table it is clear that,

Flour need for 4 muffins = 250 g

Flour need for 1 muffins = [tex]\dfrac{250}{4}[/tex] g

Flour need for 12 muffins = [tex]\dfrac{250}{4}\times 12[/tex] g

                                          = [tex]250\times 3[/tex] g

                                          = [tex]750[/tex] g

So, 750 g flour is need to make 12 muffins.

Therefore, the correct option is D.

Answer: 750

Step-by-step explanation: If The recipe for four muffins calls for 250g of flour if you multiply 250 by 3 get the answer wich is 750

--

Hope this helps

8. You have 51 coins made up of dimes
and nickels. The coins total $4.55.
How many coins are dimes? How
many are nickels?

Answers

Answer:

Solve value problems by setting up a system of equations. ... Once the table is filled in we can easily make equations by adding each column, setting it ... Dime d. 10. 10d. Total. 11. 185. We have 11 coins total.This is the number total. ... twice as many dimes, than we multiply the other variable (nickels) by two.

Step-by-step explanation:

The Technology Club is trying to raise $1000 raffling cornhole boards. They have already made $100. If they sell raffle tickets for $5 each, how many more must they sell to make at least $1000?

Answers

Answer:

180

Step-by-step explanation:

$1000-$100=$900

$900/$5=180

inverse equation x-19 = -23

Answers

Answer:

Isolate the X by adding 19 on both sides sicne the invers of -19 is 19

-23+19= -4

now you’d get

x= -4 since its a one step equation and X is isolated

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