What is the average rate of change for the sequence shown below? coordinate plane showing the points 1, 4; 2, 2.5; 3, 1; and 4, negative 0.5

Answers

Answer 1
Answer:

Answer:

-1.5

Step-by-step explanation:

So your set of points I believe is:

(1,4)

(2,2.5)

(3,1)

(4,-0.5)

You are asked to find the average rate of change. This just means find the slope.

So you can make sure the slope is the same per pair of points.

So I like to find the slope by lining two points up vertically and subtracting vertically then put 2nd difference over 1st difference.

(2 , 2.5)

-( 1 ,  4)

----------------

 1,  -1.5

So the slope is -1.5/1 or just -1.5.

Check another pair:

 (3  , 1  )

- (2  ,2.5)

------------

 1 ,  -1.5

So the slope is -1.5/1 or just -1.5.

Check one more:

 (4 , -.5)

-(3  , 1)

-----------

1, -1.5

So the slope is -1.5 or just -1.5

So the average rate of change is -1.5.


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Answers

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A tissue box is in the shape of a rectangular prism with an area of 528 in.³ the length of the box of tissues is 12 inches in the height is 5 1/2 inches what is the width of the box of tissues? Somebody please help ASAP!! Thanks!!

Answers

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Step-by-step explanation:

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Your rent x pairs of shoes for $2 each. you buy rhe same number of drinks for $1.50 each. you also pay $9 for a bowling lane. write the expression in simplest form that represents the total amount in each situation

Answers

x*($2+$1.50)+$9 the total

What is 5/8 as a decimal?

Answers

(5)/(8) ⇒ 5:8=0.625
The answer is:0.625
\boxed{\boxed{ (5)/(8)=0.625 }}

What does 2.04 kilograms equal in milligrams? How do you solve this? Divide or Multiply?

Answers

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x = 2.04* 10^6

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You earn $8.50 an hour you work 32 hours a week your deductions are FICA 7.65% federal tax withholding 10.6% and state tax withholding 8.25% how much do you have direct deposited by week

Answers

Firs, we are going to calculate how much you earn per week prior deductions. We know from our problem that you earn $8.50 an hour you work 32 hours a week, so your income per week will be the multiplication of number of worked hours by the amount you earn per hour:
(
$8.50)(32)=$272

Next, we are going to calculate the total percentage of your mandatory deductions; to do it we are going to add the FICA, federal tax withholding, and state tax withholding percentages:
Total deduction=7.65% + 10.6% + 8.25% = 26.5%

Next, we are going to multiply your weekly income by the percentage of your total deductions to find how much of your weekly income is deduced:
($272)(26.5%)=$72.08

Finally, to find the actual value of your weekly direct deposit, we are going to subtract your deductions from your weekly income:
$272 - $72.08 = $199.92

We can conclude that you will have $199.92 deposited each week.