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grandymaker [24]
3 years ago
11

Jack spent $6.34 on haircut. $35.70 on groceries and $18.77 on a cake. How

Mathematics
1 answer:
NeTakaya3 years ago
6 0
$88.76 - $6.34 - $35.70 -$18.77 = $27.95
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Answer:

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

Step-by-step explanation:

We have been given that

f(x)=x^3-27,g(x)=3x-9

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes -  a^3-b^3=(a-b)(a^2+ab+b^2)

f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)

And g(x) can be written as

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Thus, we have

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On cancelling the common factors, we get

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

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