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Maru [420]
3 years ago
9

Which is the graph of the function f(x) = x3 – x2 – 17x - 15?

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer with Step-by-step explanation:

We are given that a function

f(x)=x^3-x^2-17x-15

We have to find the graph of the given function.

y-intercept:It is that  value of y where the graph cut the y- axis.

Let

y=f(x)=x^3-x^2-17x-15

Substitute x=0

Then, we get

f(0)=-15

y-intercept of the graph=-15

x- intercept: It is that value of x where the graph cut the x- axis.

Substitute y=0

x^3-x^2-17x-15=0

Substitute x=-1

-1-1+17-15=0

Therefore,x=-1  is a solution of given equation.

(x+1)(x^2-2x-15)=0

(x+1)(x^2-5x+3x-15)=0

(x+1)(x(x-5)+3(x-5))=0

(x+1)(x+3)(x-5)=0

\implies x=-1,-3,5

Hence, the x-intercept are

-3,-1 and 5

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Answer:

Option (A)

Step-by-step explanation:

The given expression is,

(5^{-2}\times 4^{-4})^{-2}

Since x^{-1}=\frac{1}{x} and \frac{1}{x^{-1}}=x

5^{2}=\frac{1}{5^{-2}}

4^{2}=\frac{1}{4^{-2}}

Therefore, (5^{-2}\times 4^{-4})^{-2}=\frac{1}{(5^{-2}\times 4^{-4})^{2}}

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                                         =\frac{1}{5^{-4}\times 4^{-8}}

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                                         =5^{4}\times 4^{8}                            

Option (A) will be the answer.                                          

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William found 3/5 of the pecan pie in the fridge and
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<em><u>ANSWER</u></em>

<em>Since </em><em>probably </em><em>part </em><em>of </em><em>the</em><em> </em><em>pie </em><em>was </em><em>already </em><em>eaten </em><em>therefore </em><em>we </em><em>find </em><em>the </em><em>fration </em><em>of </em><em>the </em><em>pie </em><em>in </em><em>the </em><em>beginning</em><em> </em><em>which </em><em>is</em>

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<em><u>Fraction </u></em><em><u>William </u></em><em><u>ate;</u></em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em> </em><em>of </em><em>1</em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>of </em><em>5</em><em>/</em><em>5</em>

<em>=</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>×</em><em> </em><em>5</em><em>/</em><em>5</em>

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<em> </em>

<em><u>CONCLUSION</u></em>

A fraction is a part of a whole so no matter how the fraction would increase or decrease the part William ate will remain the same

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