Theo buys 5 packages of paper. There are 500 sheets of paper in each package How many sheets of paper does Theo buy?

(2x^3+9x^2+x-12)/(x+4) simplify

neonofarm [45]

Answer:

Step-by-step explanation:

$\frac{2 {x}^{3} + 9 {x}^{2} + x - 12}{x + 4}$

Write $9 {x}^{2}$ as a sum

$\frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} + x - 12}{x + 4}$

Write X as a sum

$\frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out $2 {x}^{2}$ from the expression

$\frac{2 {x}^{2}(x - 1) + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out 11x from the expression

$\frac{2 {x}^{2} (x - 1) + 11x(x - 1) + 12x - 12}{x + 4}$

Factor out 12 from the expression

$\frac{2 {x}^{2}(x - 1) + 11(x - 1) + 12(x - 1) }{x + 4}$

Factor out X - 1 from the expression

$\frac{(x - 1)(2 {x}^{2} + 11x + 12)}{x + 4}$

Write 11x as a sum

$\frac{(x - 1)(2 {x}^{2} + 8x + 3x + 12)}{x + 4}$

Factor out 2x from the expression

$\frac{(x - 1)(2x(x + 4) + 3x + 12)}{x + 4}$

Factor out 3 from the expression

$\frac{(x - 1)(2x(x + 4) + 3(x + 4)}{x + 4}$

Factor out X + 4 from the expression

$\frac{(x - 1)(x + 4)(2x + 3)}{x + 4}$

Reduce the fraction with X + 4

$(x - 1)(2x + 3)$

Multiply the parantheses

$2 {x}^{2} + 3x - 2x - 3$

Collect like terms

$2 {x}^{2} + x - 3$

Hope this helps...

Good luck on your assignment...

4 0

3 years ago

3x2=24 by finding square roots

levacccp [35]

Answer:

Step-by-step explanation:

3x^2 = 24

devide by 3

x^2 = 8

x =2.828427125

4 0

3 years ago

Read 2 more answers

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environ

MA_775_DIABLO [31]

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditionalbulbs. Is there an incentive for this study to be biased? Why or why not?

<span>Yes, because the LED bulb manufacturer may benefit from the survey results.
</span>
If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.

3 0

3 years ago

Read 2 more answers

It took Margie 2 1/4hours to write a 1 1/2 page research paper . What was her hourly writing rate

WARRIOR [948]

Margie would take 1 hour and 30 minutes to write 1 page of her research paper. Think of it like a proportion:

2.25/ 1.5 = x/1

2.25 is the 2 1/4 converted which is the amount of hours she took.

1.5 is the 1 1/2 converted which are the amount of pages she wrote total.

1 on the right side of the proportion represents 1 page.

And x are the amount of hours used to write 1 page.

And in solving that proportion it would result in 1.5 or 1hr. and 30 min.