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QveST [7]
2 years ago
7

If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).

Mathematics
1 answer:
Tom [10]2 years ago
6 0

Answer:

2x^2 +11

Step-by-step explanation:

(x) = 3 x^2 + 2

g(x) = x^2 - 9

(f - g)(x) =3 x^2 + 2 - (x^2 - 9)

Distribute the minus sign

             = 3x^2 +2 - x^2 +9

Combine like terms

             = 2x^2 +11

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The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l
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Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

{x}^{3}  -  {y}^{3}  = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\  {x}^{3}  -  {7}^{3}  = 386 \\ {x}^{3}  -  343 = 386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}   = 729 \\ x =  \sqrt[3]{729}  \\ x = 9

Thus the cube root of the larger number is 9.

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3 years ago
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Answer:

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Step-by-step explanation:

30+30=30 feet

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30+36=66

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3 years ago
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Answer:

\huge\boxed{B.\ \sqrt{18}}

Step-by-step explanation:

4=\sqrt{4^2}=\sqrt{16}

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