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olganol [36]
3 years ago
14

Mariana's swimming pool holds 22,000 gallons of water. If there are approximately 7.5 gallons per cubic foot, determine the size

of the swimming pool, in terms of cubic feet, Mariana have. Round your answer to the nearest cubic foot.
A) 3 ft^3
B) 2,933 ft^3
C) 34,091 ft^3
D) 165,000 ft^3
Mathematics
1 answer:
lana [24]3 years ago
8 0
There are several information's that are given in the question. Based on these information's the answer can be easily deduced.

Amount of water that <span>Mariana's swimming pool holds = 22000 gallons
7.5 gallons = 1 cubic feet
Then
22000 gallons = 22000/7.5 cubic feet
                        = 2933 cubic feet
From the above deduction, we can conclude that the correct option among all the options that are given in the question is the second option or option "B".</span>
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5

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Since you know the value of "x", you can plug in the value for "x" in the equation.

[When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.]

For example:

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\frac{1}{y^{-3}} =\frac{y^3}{1}  or  y³


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x = -1

f(x) = 9x + 7

f(-1) = 9(-1) + 7 = -9 + 7 = -2


g(x)=5^x

g(-1)=5^{-1}=\frac{1}{5}



x = 0

f(x) = 9x + 7

f(0) = 9(0) + 7 = 7


g(x)=5^x

g(0)=5^0=1



x = 1

f(x) = 9x + 7

f(1) = 9(1) + 7 = 9 + 7 = 16


g(x)=5^x

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g(x)=5^x

g(2)=5^2=25



You need to determine the solution of f(x) = g(x)

Since you know f(x) = 9x + 7 and g(x)=5^x, you can plug in (9x + 7) for f(x), and (5^x) into g(x)


f(x) = g(x)

9x+7=5^x   You can plug in each value of x into the equation


Your answer is x = 2 because when you plug in 2 for x in the equation, you get 25 = 25

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