Answer:
![=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)](https://tex.z-dn.net/?f=%3D-%5Cleft%28x-1%5Cright%29%5Cleft%28x%5E4-6x%5E3-6x%5E2-14x-5%5Cright%29)
Step-by-step explanation:
Factor out comon Term -1
![=-\left(x^5-7x^4-8x^2+9x+5\right)](https://tex.z-dn.net/?f=%3D-%5Cleft%28x%5E5-7x%5E4-8x%5E2%2B9x%2B5%5Cright%29)
Factor ![x^5-7x^4-8x^2+9x+5:\quad \left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)](https://tex.z-dn.net/?f=x%5E5-7x%5E4-8x%5E2%2B9x%2B5%3A%5Cquad%20%5Cleft%28x-1%5Cright%29%5Cleft%28x%5E4-6x%5E3-6x%5E2-14x-5%5Cright%29)
![x^5-7x^4-8x^2+9x+5](https://tex.z-dn.net/?f=x%5E5-7x%5E4-8x%5E2%2B9x%2B5)
Use the rational root theorem
![a_0=5,\:\quad a_n=1](https://tex.z-dn.net/?f=a_0%3D5%2C%5C%3A%5Cquad%20a_n%3D1)
The dividers of
: 1, 5, The dividers of
: 1
Therefore, check the following rational numbers: ±![\frac{1,\:5}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2C%5C%3A5%7D%7B1%7D)
is a root of the expression, so factor out ![x-1](https://tex.z-dn.net/?f=x-1)
![=\left(x-1\right)\frac{x^5-7x^4-8x^2+9x+5}{x-1}](https://tex.z-dn.net/?f=%3D%5Cleft%28x-1%5Cright%29%5Cfrac%7Bx%5E5-7x%5E4-8x%5E2%2B9x%2B5%7D%7Bx-1%7D)
![\frac{x^5-7x^4-8x^2+9x+5}{x-1}=x^4-6x^3-6x^2-14x-5](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E5-7x%5E4-8x%5E2%2B9x%2B5%7D%7Bx-1%7D%3Dx%5E4-6x%5E3-6x%5E2-14x-5)
![=x^4-6x^3-6x^2-14x-5](https://tex.z-dn.net/?f=%3Dx%5E4-6x%5E3-6x%5E2-14x-5)
![=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)](https://tex.z-dn.net/?f=%3D-%5Cleft%28x-1%5Cright%29%5Cleft%28x%5E4-6x%5E3-6x%5E2-14x-5%5Cright%29)
First you will get the sale price.
you need to convert the percentage to a decimal and to do that you move the decimal over twice:
30% = .30
then multiply the CD price by the decimal
$14.00 X .30 = $4.20
then you have the sales price but you need to find the tax price
to do that you move the decimal of the tax percentage over twice
7% = .07%
then multiply by the price after the sale included
.07 X $4.20 = $0.29
you have how much the tax would be
to get the total price you add the tax to the sales price
$0.29 + $4.20 = $4.42
the price you would be paying for this CD including tax is $4.42
Answer:
p = ![\frac{7}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B5%7D)
Step-by-step explanation:
change the mixed number to an improper fraction
- 2
= -
, hence
-
p = - 3 ( multiply both sides by 7 )
- 15p = - 21 ( divide both sides by - 15 )
p =
= ![\frac{7}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B5%7D)
The answer is your 3rd option:
y = -40x + 200