For this, I will be factoring by grouping to solve for y.
Firstly, factor y^3 + 5y^2 and -9y - 45 separately, Make sure that they have the same quantity on the inside:
![y^2(y+5)-9(y+5)=0](https://tex.z-dn.net/?f=y%5E2%28y%2B5%29-9%28y%2B5%29%3D0)
Now you can rewrite it as
. However we are not finished factoring.
Now with y^2 - 9, we will apply the difference of squares rule, which is
. Apply it as such:
![(y+3)(y-3)(y+5)=0](https://tex.z-dn.net/?f=%28y%2B3%29%28y-3%29%28y%2B5%29%3D0)
Now that it is completely factored, we can apply the Zero Product Property and solve for y:
![y+3=0\\y=-3\\\\y-3=0\\y=3\\\\y+5=0\\y=-5](https://tex.z-dn.net/?f=y%2B3%3D0%5C%5Cy%3D-3%5C%5C%5C%5Cy-3%3D0%5C%5Cy%3D3%5C%5C%5C%5Cy%2B5%3D0%5C%5Cy%3D-5)
<u>In short, y = -5, -3, and 3.</u>
Answer:
The difference between the two values is -9
32 people each get a pint and 1 pint is roughly 0.125 gallons so assuming that the pitcher can hold one gallon each then it would be 4 pitchers D is your answer.
Answer:
x ≈ 8.39
Step-by-step explanation:
You'd have to use the tangent ratio in order to solve for x.
tangent ratio = opposite/adjacent
tan 50° = 10/x
x = 10/tan 50°
x = 8.39099631177
≈ 8.39
Answer:
-6xy
Step-by-step explanation:
(2x-y)x(x-2y)-(x+2y)X(2x-y)
remove the parentheses
2x^2-4xy+xy-2y^2-(2x^2-xy+4xy-2y^2)
collect terms
2x^2-4xy+xy-2y^2-(2x^2+3xy-2y^2)
remove the parentheses
2x^2-4xy+xy-2y^2-2x^2-3xy+2y^2
remove the opposites, collect the terms to get -6xy