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o-na [289]
2 years ago
8

(Score for Question 1: of 4 points)

Mathematics
2 answers:
vfiekz [6]2 years ago
5 0

Answer:

-80

Step-by-step explanation:

-5(-10 – 2(-3))^{2}

-5(-10+6)^{2}

-5x(-4)^{2}

-5x4^{2}

-5x16

-80

Zigmanuir [339]2 years ago
5 0
-
Answer is 20.


5(-10-2(-3))

-5(-10+6)

-5(-4)

20
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The average rates of change of f(x) and their corresponding intervals are given as:

Interval          Rate of Change

[-5, -1]                 -8

[-4, -1]                 -7

[-3, 1]                  -4

[-2, 1]                  -3.

<h3>What is the explanation for the above?
</h3>

Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]  

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

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c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

rate of change = [f (1) - f(-2)] / [1 - (-2)]

= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
brainly.com/question/25184007
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The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

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