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QveST [7]
3 years ago
7

MATH HELP 10 PTS

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0

Answer:

The width is 5 and the length is 11

Step-by-step explanation:

The formula for perimeter is

P = 2(l+w)

We know the perimeter is 32

32 = 2 (l+w)

Divide each side by 2

32/2 = 2(l+w)

16 = l+w

We know the length is 6 longer than the width

l = w+6

16 = w+6+w

Combine like terms

16 = 2w+6

Subtract 6 from each side

16-6 = 2w+6-6

10 = 2w

Divide by 2

10/2 = 2w/2

5 =w

The length  is

l = w+6

   5+6 = 11

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The numeric value of the composite function at x = 2 is given as follows:

(f ∘ g)(2) = 33.

<h3>Composite function</h3>

The composite function of f(x) and g(x) is given by the rule presented as follows:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

In the context of this problem, the functions are given as follows:

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The composite function is:

(f ∘ g)(x) = f(-2x) = (-2x)² - 3(-2x) + 5 = 4x² + 6x + 5.

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(f ∘ g)(2) = 4(2)² + 6(2) + 5 = 33.

Learn more about composite functions at brainly.com/question/10687170

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1 year ago
Solve the following system of equations for z and for y :
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Answer:

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Step-by-step explanation:

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