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Nuetrik [128]
3 years ago
10

Multiply and simplify. (x - 1)(x - 1)(x - 1)

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0
(sorry if it's too late and you've already figured it out, but here you go anyway)
The easiest way to do this is to start by FOILing then add.
So just start with (x-1)(x-1)
(x-1)(x-1)
Front: (x*x) = x^2
Outer: (x*-1) = -x
inner: (-1*x) = -x
Last: (-1*-1) = 1
Added: x^2 -2x +1
Now take that answer and do the same thing with (x-1). It's basically the same thing, just with an added thing you need to multiply.
(x-1)(x^2-2x+1)
(x*x^2) = x^3
(x*2x) = 2x^2
(x*1) = x
(-1*x^2) = -x^2
(-1*-2x) = 2x
(-1*1) = -1
Now add everything together:
x^3+2x^2+x-x^2+2x-1
The answer is:
x^3+x^2+3x-1
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Part A: The average rate of change between the 2nd and 3rd point is Select a Value Part A: The average rate of change between th
Fofino [41]

Answer:

Rate = 6

Rate = 10

Rate = 18

Rate = 162

Step-by-step explanation:

Given

See attachment for table

Solving (a): Rate of change between 2nd and 3rd point on A

The rate of change is calculated as:

Rate = \frac{y_2 - y_1}{x_2 - x_1}

In table A, the 2nd and 3rd point is:

(x_1,y_1) =(1,7)

(x_2,y_2) =(2,13)

So, the average rate of change is:

Rate = \frac{13 - 7}{2 - 1}

Rate = \frac{6}{1}

Rate = 6

Solving (b): Rate of change between 3rd and 4th point on A

In table A, the 3rd and 4th point is:

(x_1,y_1) =(2,13)

(x_2,y_2) =(3,23)

So, the average rate of change is:

Rate = \frac{23 - 13}{3 - 2}

Rate = \frac{10}{1}

Rate = 10

Solving (c): Rate of change between 2nd and 3rd point on B

In table B, the 2nd and 3rd point is:

(x_1,y_1) =(2,11)

(x_2,y_2) =(3,29)

So, the average rate of change is:

Rate = \frac{29 - 11}{3 - 2}

Rate = \frac{18}{1}

Rate = 18

Solving (d): Rate of change between 4th and 5th point on B

In table B, the 4th and 5th point is:

(x_1,y_1) =(4,83)

(x_2,y_2) =(5,245)

So, the average rate of change is:

Rate = \frac{245 - 83}{5 - 4}

Rate = \frac{162}{1}

Rate = 162

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Answer:

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m = ( 6-5)/ (1-(-1))

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The answer is 9 because 36 divided by 4 is 9.

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