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1 year ago

Factorize x^4 + 2x^3 - 11x^2 - 12x + 36 I need the steps.Please i need this for today.

1 answer:

6 0

$x^4 +2x^3 -11x^2-12x+36\\ \\=x^4-2x^3+4x^3-8x^2-3x^2 +6x-18x+36\\\\=x^3(x-2) +4x^2(x-2) -3x(x-2) -18(x-2)\\\\=(x-2)(x^3 +4x^2 -3x -18)\\\\=(x-2)(x^3+3x^2+x^2+3x-6x-18)\\\\=(x-2)\textbf{[}x^2(x+3)+x(x+3)-6(x+3)\textbf{]}\\\\=(x-2)(x+3)(x^2 +x -6)\\\\=(x-2)(x+3)(x^2 +3x -2x-6)\\\\=(x-2)(x+3)\textbf{[}x(x+3) -2(x+3)\textbf{]}\\\\=(x-2)(x-2)(x+3)(x+3)\\\\=(x-2)^2(x+3)^2$

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Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?

DerKrebs [107]

Answer:

y =5x

Step-by-step explanation:

$y_{1}-y_{2} = m(x_{1} - x_{2} )$

(5 - 0) = m(1 - 0)

5 = m(1)

5 = m

$y_{1}-y_{2} = m(x_{1} - x_{2} )$

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x -5 + 5

y = 5x

7 0

2 years ago

What is the value of x in the equation 3(2x+8)=0

maxonik [38]

Answer:

x = -4

Step-by-step explanation:

3(2x+8)=0

Divide each side by 3

3/3(2x+8)=0/3

2x+8 = 0

Subtract 8 from each side

2x+8-8=0-8

2x = -8

Divide by 2

2x/2 = -8/2

x = -4

7 0

3 years ago

8 divde by 1/6 equals 48 because<br><br>

nika2105 [10]

Proof:

$8\div\frac{1}{6}=\frac{8}{1}\div \frac{1}{6}=\frac{8}{1}\times\frac{6}{1}=\frac{8\times6}{1}=\frac{48}{1}=48 \\$

6 0

3 years ago

What is 3 times 7 plus 5 minus 2 subtracted by 3 plus y y equals 106

Rashid [163]

Answer:

127

Step-by-step explanation:

3 x 7 + 5 - 2 - 3 + y

y = 106

3x7 = 21

21 + 5 = 26

26 - 2 = 24

24 - 3 = 21

21 + 106 = 127

6 0

2 years ago

Read 2 more answers

What equation best models this data? (Use y to represent the population in millions, and t to represent the year, assuming that

lapo4ka [179]

Answer:

y = 2.31x + 309.35

Step-by-step explanation:

Whenever you are checking for a best fitting equation you want to check if it has a constant slope. If it does then the relation is linear and super easy.

So, since the t values are increasing by the same amount you want to see if the y values are too. And they are, each population entry is increasing by 2.31, this is the slope.

Also, keep in mind you can caluclate slope with the equation $\frac{y_2-y_1}{x_2-x_1}$ here x is replaced by t though.

Now, since we know it's linear and we know the slope we can find the equation with the formula y - y1 = m(x - x1) where again, x is replaced by t and m is the slope 2.31

I am just going to use the first point. so x1 = t1 = 0

y - 309.35 = 2.31(x-0)

y = 2.31x + 309.35

Let me know if there was something you didn't understand.

5 0

2 years ago