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3 years ago

How do I solve -16 x < -64

Mathematics

2 answers:

WARRIOR [948]3 years ago

5 0

Divide -16 by -64, You will 4, so then you put x<4

matrenka [14]3 years ago

3 0

You divide both sides by -16 so you get
X>4

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G(x)=(x^2+1)(3x-5) what is the value of g(4)?

MAVERICK [17]

g(x) = x^2 + 1(3x - 5)

<em><u>Replace all x's with 4.</u></em>

g(4) = 4^2 + 1(3 * 4 - 5)

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Find average rate of change f(x)=-4x^(2)-3x-4 ; [-1,3]

NeTakaya

The rate of change of the given function at [-1,3] is 5

Further explanation:

Given function is:

$f(x) = 4x^2-3x-4$

And the interval is:

[-1,3]

In order to find the rate of chnage of function the given function's value is calculated at both points and divided by their difference

The formula is:

$Rate\ of\ change= \frac{f(x_2)-f(x_1)}{x_2-x_1}$

Here,

x_1 = -1

x_2 = 3

So,

$f(-1) = 4(-1)^2-3(-1)-4\\=4(1) +3-4\\=4-1\\=3\\f(3) = 4(3)^2-3(3)-4\\= 4(9)-9-4\\=36-13\\=23$

Putting the values in the rate of change formula:

$Rate\ of\ change= \frac{23-3}{3-(-1)}\\= \frac{23-3}{3+1}\\=\frac{20}{4} \\=5$

The rate of change of the given function at [-1,3] is 5

Keywords: Rate of change, functions

Learn more about functions:

#LearnwithBrainly

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Look below.

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