Mathematics: Calculate the average rate of change over the interval [1, 5] for the following function. H(x)=-2x^2-3x-1

Calculate the average rate of change over the

MendesMist

16.03.2021

Rate = -15

Step-by-step explanation:

Given

H(x) = -2x^2 - 3x - 1

[a,b] = [1,5]

Required

The average rate of change

This is calculated using:

$Rate = \frac{H(b) - H(a)}{b - a}$

Substitute values for a and b

$Rate = \frac{H(5) - H(1)}{5 - 1}$

$Rate = \frac{H(5) - H(1)}{4}$

Solve for H(5) and H(1)

H(5) = -2*5^2 - 3*5 - 1 = -66

H(1) = -2*1^2 - 3*1 - 1 = -6

So, the expression becomes:

$Rate = \frac{-66 - (-6)}{4}$

$Rate = \frac{-66 + 6}{4}$

$Rate = \frac{-60}{4}$

Rate = -15

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milkshakegrande101

23.07.2021

Step-by-step explanation:

correct: the ratio of texts sent to calls made was 8:5

correct: For every 5 calls made there were 8 texts sent

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