D 20 cubic feet would be your answer
Answer:
(j - 7)(j - 6)
Step-by-step explanation:
![{j}^{2} - 13j + 42 \\ = {j}^{2} - 7j - 6j + 42 \\ = j(j - 7) - 6(j - 7) \\ = (j - 7)(j - 6) \\ are \: required \: factors](https://tex.z-dn.net/?f=%20%7Bj%7D%5E%7B2%7D%20%20-%2013j%20%2B%2042%20%5C%5C%20%20%3D%20%20%7Bj%7D%5E%7B2%7D%20%20-%207j%20-%206j%20%2B%2042%20%20%5C%5C%20%20%3D%20j%28j%20-%207%29%20-%206%28j%20-%207%29%20%5C%5C%20%20%3D%20%28j%20-%207%29%28j%20-%206%29%20%5C%5C%20are%20%5C%3A%20required%20%5C%3A%20factors)
A) For the equation
![y=- \frac{1}{2}x+3](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3)
, the slope is
![- \frac{1}{2}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B1%7D%7B2%7D%20)
.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if
![m=- \frac{1}{2}](https://tex.z-dn.net/?f=m%3D-%20%5Cfrac%7B1%7D%7B2%7D%20)
, the slope is
![- \frac{1}{2}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B1%7D%7B2%7D%20)
.
B) Since this equation is in the same form, you just find what m is equal to.
Since
![m=2](https://tex.z-dn.net/?f=m%3D2)
, that's the slope.
For the solution, set
![y=- \frac{1}{2}x+3](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3)
equal to
![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
Answer:
-6x-5
Step-by-step explanation:
(2x - 3)2 + 5(3 - 2x) - 14
Distribute
2x*2 -3*2 +5*3 -5*2x -14
4x -6 +15 -10x -14
Combine like terms
4x -10x -6 +15-14
-6x -5