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3 years ago

Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3.

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

3 0

For f(x)= 2x +5
f(-3)= 2(-3) +5
f(-3)= -6 + 5
f(-3)= -1
f(x)= -1

For g(x)= x - 7
g(-3)= -3 -7
g(-3)= -10
g(x)=-10

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You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost

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It costs $ 3.4 to fill the hot tub

<h3>Solution:</h3>

Given that, You are putting a rectangular hot tub on your back porch

The rectangular hot tub is of shape cuboid

The volume of cuboid is given as:

$\text{Volume of cuboid } = length \times width \times height$

It is 6 feet long, 5 feet wide, and 3 feet deep

Therefore,

length = 6 feet

width = 5 feet

height = 3 feet

Thus volume of rectangular hot tub is:

$volume = 6 \times 5 \times 3 = 90$

Thus volume of rectangular tub is $90 ft^3$

Convert feet to gallons

We know that,

1 cubic feet = 7.48052 gallon

Therefore,

90 cubic feet = 7.48052 x 90 = 673.247

Thus gallons of water tub can hold is 673.247 gallons

Given that it costs $ 5 per 1000 gallons

1000 gallons = $ 5

Therefore,

1 gallons = $ $\frac{5}{1000}$

Find for 673.247 gallons

673.247 gallons = $\frac{5}{1000} \times 673.247 = 3.366235 \approx 3.4$

Thus it costs $ 3.4 to fill the hot tub

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