These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
0
1
2
у
3
2
-1
-6
-13
--22
--33
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
]-2
-9
13-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
5
6
O
A. -15
B. -61
C.-2
D. -46

Answers

Answer 1

Answer:

These tables represent a quadratic function with a vertex at (0,-1) what is the average rate of change for the interval from x=7 to x=8?

B.-15

Step-by-step explanation:

Answer 2

The average rate of change from 7 to 8 = -15

How to determine the average rate of change?

The average rate of change of a quadratic function is calculated using:

Rate = (f(b) - f(a))/(b - a)

The interval is from x = 7 to 8.

So, we have:

(a,b) = (7,8)

The equation becomes

Rate = (f(8) - f(7))/(8 - 7)

Evaluate the difference

Rate = (f(8) - f(7))/1

This gives

Rate = f(8) - f(7)

From the table, we have:

Rate from 5 to 6 = -11 where the constant is -2

So, we have:

Rate from 6 to 7 = -11 - 2

Rate from 6 to 7 = -13

Also, we have:

Rate from 7 to 8 = -13 -2

Rate from 7 to 8 = -15

Hence, the average rate of change from 7 to 8 = -15

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?

Number of pounds of type A coffee:

Answers

9514 1404 393

Answer:

  32 pounds

Step-by-step explanation:

Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...

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Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
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b. Find the critical value(s).
c. Compute the test value.
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Answers

Answer:

H0 : μ = 18000

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Step-by-step explanation:

H0 : μ = 18000

H1 : μ < 18000

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Sample mean, x = 16298.37

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|test statistic | > |Critical value | ; reject H0

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For the given equation, what is the step to clear the fractions and what is the result?
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Answers

Answer:

The first choice

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

5y+8=-6

-8

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

5x -3y + 11 = 0 .

Step-by-step explanation:

Firstly let's find the slope of the line by converting the equation into slope intercept form as ,

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Answers

Answer: Your question has some missing data attached below is the missing data

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  $1.74

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

the median of this list is 78

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Answer: 512

Step-by-step explanation:

Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.

The surface area of the design is 384 inches².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

The given design is a cube.

All the sides are of the length 8 inches.

The formula to find the surface area of a cube is,

Surface area = 6a², where "a" is the length of a side of the cube.

Given, a = 8 inches

Surface area of the design = 6 × 8²

                                             = 6 × 64

                                             = 384 inches²

Hence the given design has the surface area of 384 inches².

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