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Nataly_w [17]
3 years ago
15

The functions f(x)=√x^2+12x+36 and g(x)=x^3-12 are defined below. Which expression is equal to f(x) · g(x)? A.x^4-6x^3-12x+72 B.

x^4-12x^3+6x-72 C.x^4+6x^3-12x-72 D. 7x^3-12x-72
Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

Answer:

C: x^4+6x^3-12x-72

Step-by-step explanation:

For the function : f(x)=√x^2+12x+36

It can be factorized to

f(x)=√(x+6)²

=x+6

f(x)*g(x)

=(x+6)(x^3-12)

Expand the brackets

=x^4-12x+6x^3-72

rearrange the numbers

x^4+6x^3-12x-72

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Step-by-step explanation:

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What is the value of yearly compensation package that includes $65,000 salary the forecast of a $350 Dollar per month health ins
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Answer:

$69560

Step-by-step explanation:

The yearly compensation package includes a yearly salary of $65000, the health insurance plan of $350 per month and a life insurance premium of $30 per month.

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3 years ago
 What is the radius of a cone with diameter​ d? An ice cream cone is filled exactly level with the top of the cone. The cone has
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Answer:

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Step-by-step explanation:

to calculate the volume of a cone   v=pi x r^2 x (h/3)

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^ means powers and roots

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v=3.14 x 2.5^2 x (9/3)

order of operations

v=3.14 x 2.5^2 x 3

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4 years ago
Expand and simplify (6x-2)^2<br>​
IgorLugansk [536]

Answer:

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solving step wise:

\sf (6x-2)^2

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\sf 36x^2 -24x +4

or

\sf (6x-2)^2

\sf (6x)^2 +2*6x*-2+(-2)^2

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