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Nuetrik [128]
1 year ago
10

The function y = f(x) is graphed below. What is the average rate of change of the

Mathematics
1 answer:
Serjik [45]1 year ago
3 0

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

Learn more about average rate;

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gayaneshka [121]

The equation of the line that is parallel and passes through the point (2,3) is; x +2y =8.

<h3>What is the equation of the line that passes through (2,3)?</h3>

If follows from the task content that the slope of the first line is; (-4-0)/(4-(-4)) = -1/2.

Hence, since the lines are parallel, they have the same slope and the equation of the second line is;

-1/2 = (y-3)/(x-2)

-x+2 = 2y -6

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5 0
1 year ago
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iogann1982 [59]

Answer:

12 years

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20-8=12

Micheal's babysitter is 12 years older than Micheal.

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Step-by-step explanation:

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