Answer:
x=8
Step-by-step explanation:
x^2+15^2=17^2, x=sqrt(64)=8
Answer:
1) 6 (9x - 5)
2) 4 (1 + 6)
Step-by-step explanation:
<u>1.</u>
54x - 30
The greatest common factor is 6, hence take out 6
6 (9x - 5)
<u>2.</u>
4 + 24
The greatest common factor is 4, take out 4
4 (1 + 6)
*I am not simplifying this because as per what is given, I am unsure if one of these numbers is actually a coefficient.
Use the Internet to find an article that presents a forecast of the economy's performance in the next three months to a year. Once you have found and read your article, record your summary using the following format in the box below and include the link. Be sure to include the URL links you used as resources in the space below.
Paragraph #1 - Summary of article including the link.
Paragraph #2 - How it relates to entrepreneurship.
Paragraph #3 - Your opinion of whether or not you agree with the prediction and the evidence provided to support the forecast.
150 * 8 = $1,200
150 / 2 = $75
$1,200 + $75 = 1275
Note: Consider "÷" sign instead of "=".
Given:
![(x^3-3x^2+5x-3)\div (x-1)](https://tex.z-dn.net/?f=%28x%5E3-3x%5E2%2B5x-3%29%5Cdiv%20%28x-1%29)
To find:
The quotient.
Solution:
We have,
![(x^3-3x^2+5x-3)\div (x-1)](https://tex.z-dn.net/?f=%28x%5E3-3x%5E2%2B5x-3%29%5Cdiv%20%28x-1%29)
It can be written as
![=\dfrac{x^3-3x^2+5x-3}{x-1}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bx%5E3-3x%5E2%2B5x-3%7D%7Bx-1%7D)
Splitting the middle terms, we get
![=\dfrac{x^3-x^2-2x^2+2x+3x-3}{x-1}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bx%5E3-x%5E2-2x%5E2%2B2x%2B3x-3%7D%7Bx-1%7D)
![=\dfrac{x^2(x-1)-2x(x-1)+3(x-1)}{x-1}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bx%5E2%28x-1%29-2x%28x-1%29%2B3%28x-1%29%7D%7Bx-1%7D)
Taking out the common factor (x-1), we get
![=\dfrac{(x-1)(x^2-2x+3)}{x-1}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%28x-1%29%28x%5E2-2x%2B3%29%7D%7Bx-1%7D)
Cancel the common factors.
![=x^2-2x+3](https://tex.z-dn.net/?f=%3Dx%5E2-2x%2B3)
The quotient is
.
Therefore, the correct option is D.