BEST ANSWER GETS BRAINLIEST!!!!

1 answer:

6 0

A:
An independent variable could be how long she works. (Well it's not really independent I guess... Sorta depends.)
A dependent variable could be how much money she makes, depending on how long she works.

B:
Umm, like:
(1, 7)
If 1 was how many hours she worked and $7 is how much money she made, and therefore x would be how many hours she worked and y would be how much total money she made.
(2, 14)
(3, 21)

C: An equation would be 7x = y.

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What is the least common denominator for these two rational expressions n^4/n^2+2n+1,7/n^2-8n-9

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Answer:

Step-by-step explanation:

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the least common denominator for these two rational expressions is :

(n+1)(n-9)

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Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

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Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$