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nika2105 [10]
3 years ago
7

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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kipiarov [429]

Answer:

Step-by-step explanation:

2

8 0
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 = \pir²h

The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first

9648 = \pir²(18)
\frac{9648}{18} = \pir²
536 = \pir²
\frac{536}{ \pi} = r²
\sqrt{ \frac{536}{ \pi } } = r
r ≈ 13.06

The ratio of the big cylinder to small cylinder is:
18 : 9   (given height)
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
r ≈ 6.53  ( the radius of the small radius )

V (of small cylinder) = \pi(6.53)²(9)
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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

Length = √98 = 7√2

Area of the rectangle = 3√2 * 7√2

Area of the rectangle = 42 units

Hence the area of the rectangle is 42 units

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

7 0
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]

Answer:6/25

Step-by-step explanation:

Y varies inversely as x²

Y =k/x²

Y= 6, x = 30

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

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3 0
3 years ago
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What is 1/8^2 as a negative exponent
ale4655 [162]

To rewrite with a negative exponent, reverse the fraction and change the exponent to a negative value:

Reversing 1/8 would be 8/1, which equals 8 and the exponent would become -2

The answer is 8^-2

6 0
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