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3 years ago

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If AX) = x2 + 2x + 3, what is the average rate of change of AX) over the interval (-4, 6]? OA 51 B. 40 OC. 31 OD 20 OE 4

1 answer:

Yuki888 [10]3 years ago

4 0

Answer:

E

Step-by-step explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change = $\frac{51-11}{6-(-4)}$ = $\frac{40}{10}$ = 4 → E

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Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with $\alpha, \beta, \theta$

[See Attachment for Triangle]

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What the question is to calculate the third length (Side B) and the other 2 angles ( $\alpha\ and\ \theta$ )

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Substitute: $A = 10$ , $C =12$ ; $B = 6$

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$100 = 36 + 144 - 144 *Cos\alpha$

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