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2 years ago

Someone please help me with #15

Mathematics

1 answer:

harina [27]2 years ago

6 0

Answer:

b. A year and a half

Step-by-step explanation:

First, we can find the total cost

$1512+263=1775$

Next, we can divide by 50 in order to find out how many months it will take for the panel to pay for itself.

$\frac{1775}{50} =35.5$ months

This is very close to 36 months, which is <u>A year and a half</u>.

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1 year ago

(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))

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The results of the composite functions are:

$(f \times g)(x) = 6x^2-9x$

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<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

$f(x) = 2x - 3$

$g(x) = 3x$

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

$(f \times g)(x) = f(x) \times g(x)$

$(f \times g)(x) = (2x-3) \times (3x)$

$(f \times g)(x) = 6x^2-9x$

<h3>Function f(g(x))</h3>

We have: $f(x) = 2x - 3$

This gives

$f(g(x)) = 2g(x) - 3$

So, we have:

$f(g(x)) = 2(3x) - 3$

$f(g(x)) = 6x - 3$

<h3>Function g(f(x))</h3>

We have: $g(x) = 3x$

This gives

$g(f(x)) = 3f(x)$

So, we have:

$g(f(x)) = 3(2x - 3)$

$g(f(x)) = 6x - 9$

Read more about composite functions at:

brainly.com/question/10687170

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1 year ago

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Black_prince [1.1K]

Answer:

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Step-by-step explanation:

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2 years ago