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3 years ago

PLEASE HELP ME!!!!

Mathematics

1 answer:

faust18 [17]3 years ago

4 0

Answer:

D. -12x + 18

Step-by-step explanation:

f(x) = -6x +5; g(x) = 2x + 8

[g o f](x) = g(f(x))

this means that in g(x), everywhere there's an x, f(x) replaces it. [g o f](x) is represented at the following: (f(x) is in bold)

g(f(x)) = 2(-6x +5) + 8 distribute the 2 to (-6x + 5)

g(f(x)) = -12x + 10 + 8 combine like terms

g(f(x)) = -12x + 18

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3 years ago

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The cylinders are similar. The volume of the larger cylinder is 9648 cubic inches. What is the volume of the smaller cylinder?

zalisa [80]

Hey there :)

The volume formula of a cylinder is:
V = $\pi$ r²h

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We need to find the radius first

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$\frac{9648}{18}$ = $\pi$ r²
536 = $\pi$ r²
$\frac{536}{ \pi}$ = r²
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The ratio of the big cylinder to small cylinder is:
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So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

$\frac{13.06}{2} = r$
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3 0

3 years ago

What is the area of the rectangle shown on the coordinate plane?

PolarNik [594]

The area of the rectangle is 42 units

The formula for calculating the area of a rectangle is expressed as:

A = length * width

From the figure, we will use the formula for calculating the distance between two points as shown:

For the length, we will use the coordinate points (5, 2) and (2, -1)

Length = √(-1-2)² + (2-5)²

Length = √9 + 9

Length = √18 = 3√2

Similarly for the width, we will use the coordinate points (5, 2) and (12, -5)

Width = √(-5-2)² + (12-5)²

Length = √49 + 49

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Learn more on area of rectangle here:brainly.com/question/2607596

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3 years ago

If y varies inversely as x^2 and y=6 when x=30 what is y when x is 6

LenaWriter [7]

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Y varies inversely as x²

Y =k/x²

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Substitute the value of y and x

6 = k/30²

Make k the subject of the formula

k = 6/900

k =1/150

The equation connecting Y and x is

Y = x²/150

When x = 6

Y= 6²/150

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3 years ago