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Marizza181 [45]
3 years ago
8

I just need help it’s algebra 2

Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

1) will be two infinitely negative numbers with a higher max at about -1.5 and a lower max at (1, -2).

2) will be in an N shape, with a peak at (0,1). The left side of the n will be negative x and vice versa for the right side.

3) will be in a W shape, left and rights are the same as 2), peak at (.5, 1.25).

4) will be in a reverse N shape, peaking at (0, 36)

Step-by-step explanation:

Check a graphing calculator and use trace function.

Hope it helps!

Simora [160]3 years ago
4 0

Answer: It's the first one because a polynomial function is always going to be F(x). Remember that!

Step-by-step explanation:

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Which of the following expressions is equivalent to a3 + b3?
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{a}^{3}  + {b}^{3} = (a + b)( {a}^{2 }  - ab +  {b}^{2} )


EXPLANATION

To find the expression that is equivalent to
{a}^{3}  + {b}^{3}
we must first expand
{(a + b)}^{3}
Then we rearrange to find the required expression.


So let's get started.


{(a + b)}^{3}  = (a + b) {(a + b)}^{2}

We expand the parenthesis on the right hand side to get,



{(a + b)}^{3}  = (a + b) ( {a}^{2} + 2ab +  {b}^{2}  )



We expand again to obtain,

{(a + b)}^{3}  =  {a}^{3}  + 3 {a}^{2}b + 3a {b}^{2}   +  {b}^{3}


Let us group the cubed terms on the right hand side to get,

{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3 {a}^{2}b + 3a {b}^{2}




{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3ab (a+ b)





We make the cubed terms the subject,

{(a + b)}^{3}  - 3ab (a+ b) =  {a}^{3}   +  {b}^{3}

We factor to get,


(a + b)({(a + b)}^{2}  - 3ab ) =  {a}^{3}   +  {b}^{3}


We expand the bracket on the left hand side to get,

(a + b)( {a}^{2}  + 2ab +  {b}^{2}   - 3ab ) =  {a}^{3}   +  {b}^{3}


We finally simplify to get,

(a + b)( {a}^{2}   - ab +  {b}^{2}  ) =  {a}^{3}   +  {b}^{3}
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