Answer:
![\dfrac{x^3-5x^2 +4x}{2x+8}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E3-5x%5E2%20%2B4x%7D%7B2x%2B8%7D)
Step-by-step explanation:
The basic idea is to factor each expression and cancel common factors from numerator and denominator.
![\dfrac{x^2-16}{2x+8}\cdot\dfrac{x^3-2x^2 +x}{x^2+3x-4}=\dfrac{(x-4)(x+4)}{2(x+4)}\cdot\dfrac{x(x-1)^2}{(x+4)(x-1)}\\\\=\dfrac{(x-4)x(x-1)}{2(x+4)}\cdot\dfrac{(x+4)(x-1)}{(x+4)(x-1)}\\\\=\boxed{\dfrac{x^3-5x^2 +4x}{2x+8}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2-16%7D%7B2x%2B8%7D%5Ccdot%5Cdfrac%7Bx%5E3-2x%5E2%20%2Bx%7D%7Bx%5E2%2B3x-4%7D%3D%5Cdfrac%7B%28x-4%29%28x%2B4%29%7D%7B2%28x%2B4%29%7D%5Ccdot%5Cdfrac%7Bx%28x-1%29%5E2%7D%7B%28x%2B4%29%28x-1%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%28x-4%29x%28x-1%29%7D%7B2%28x%2B4%29%7D%5Ccdot%5Cdfrac%7B%28x%2B4%29%28x-1%29%7D%7B%28x%2B4%29%28x-1%29%7D%5C%5C%5C%5C%3D%5Cboxed%7B%5Cdfrac%7Bx%5E3-5x%5E2%20%2B4x%7D%7B2x%2B8%7D%7D)
5 times 0.85 = 4.25 gummy bears
9 times 1.20 = 10.80 gum
10.80 + 4.25 = 15.05 total<span />
Answer:
(5, -3)
Step-by-step explanation:
given two points (x₁, y₁) and (x₂, y₂), the midpoint is ![(\frac{x_1+x_2}{2} ,\frac{y_1 + y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%5Cfrac%7By_1%20%2B%20y_2%7D%7B2%7D%29)
= ![(\frac{10}{2} ,\frac{-6}{2}) = (5, -3)](https://tex.z-dn.net/?f=%28%5Cfrac%7B10%7D%7B2%7D%20%2C%5Cfrac%7B-6%7D%7B2%7D%29%20%3D%20%285%2C%20-3%29)
Answer:
Step-by-step explanation:
look at the pictures. they should help.
when you have a triangle and you are trying to find the exterior angle you need to find the interior angle that is opposite of the exterior angle. they should both add up to 180 because it will be on a straight line. what ever numbers you have left should be for both angles.
Answer:
50
Step-by-step explanation:
40/80 = 1/2
1/2 ⇆ 0.5 ⇄ 50%