Answer:

Step-by-step explanation:
![y^3-6y^2+5y=y(y^2-6y+5)=y(y^2-y-5y+5)\\\\=y[y(y-1)-5(y-1)]=y(y-1)(y-5)](https://tex.z-dn.net/?f=y%5E3-6y%5E2%2B5y%3Dy%28y%5E2-6y%2B5%29%3Dy%28y%5E2-y-5y%2B5%29%5C%5C%5C%5C%3Dy%5By%28y-1%29-5%28y-1%29%5D%3Dy%28y-1%29%28y-5%29)
Answer:

Step-by-step explanation:
The formula of a volume of a sphere:

We have

Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>

<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
The value of m must be 4 and the value of b must NOT be -3.
No matter what numbers they involve, two equations with the SAME slope (m) and a DIFFERENT y-intercept (b) have no solution. This is because they form parallel lines, never crossing and therefore never giving a solution.
Answer:
23 is 31/100
Step-by-step explanation:
not sure about the rest sorry :(
Option B gives the correct answer.The step by step solution using the FOIL method of multiplication is given below: