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Zinaida [17]
3 years ago
15

Does anyone know how to do this?? steps are helpful but not necessary

Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

C.  \frac{2(x+16)}{x+4}

Step-by-step explanation:

We want fg of x, so first we have to multiply f(x) times g(x).

\frac{x+16}{x} * \frac{2x}{x+4}

\frac{(x+16)2x}{x(x+4)}

\frac{2x^{2}+32x}{x^{2}+4x}

We can cancel out an x from every term.

\frac{2x+32}{x+4}

Let's rewind a little to get this into one of the answer choices.

\frac{2(x+16)}{x+4} is our answer.

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Answer:

x = 27

Step-by-step explanation:

Given

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Multiply both sides by 9 to clear the fraction

x = 9 × 3 = 27

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Which number results in a true sentence in 0.475 < ______ ? a.) 0.473 c.) 0.475 b.) 0.474 d.) 0.476
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D.) 0.476

Step-by-step explanation:

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XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for thi
Rashid [163]

Answer:

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

X'(x,y) = X(x,y) + T(x,y) (1)

Where T(x,y) is the vector translation.

If we know that X(x,y) = (2,3) and X'(x,y) = (4,7), then the vector translation is:

T(x,y) = X'(x,y)-X(x,y)

T(x,y) = (4,7) - (2,3)

T(x,y) = (2, 4)

Then, we determine the coordinates for Y' and Z':

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Y'(x,y) = (1,4) + (2,4)

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The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

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