Mathematics: What is the average rate of change of f(x)=x2+x−6 between x=3 and x=9?

What is the average rate of change of f(x)=x2+x−6

Ответ:

lindsayb2000

15.01.2022

Mathematics

Step-by-step explanation:

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

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

here [ a, b ] = [ 3, 9 ]

f(b) = f(9) = 9² + 9 - 6 = 84

f(a) = f(3) = 3² + 3 - 6 = 6

average rate of change = $\frac{84-6}{9-3}$ = $\frac{78}{6}$ = 13

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Ответ:

20068088

15.05.2022

Mathematics

-3/5

Step-by-step explanation:

Given :-

The terminal ray of an angle passes through the point (16,–12).

And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.

Using Pythagoras Theorem :-

$:\implies$ h² = p² + b²

$:\implies$ h² = 16² + 12²

$:\implies$ h² = 256 + 144

$:\implies$ h² = 400

$:\implies$ h = 20 u

Therefore the sine will be :-

$:\implies$ sinθ = p/h

$:\implies$ sinθ = 12/20

$:\implies$ sinθ = 3/5

And it is in third quadrant so , sine will be negative .

$:\implies$ sinθ = -3/5

Therefore the value of sine is -3/5.

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What is the average rate of change of f(x)=x2+x−6 between x=3 and x=9?

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