I hope this helps you
g (x)=(x-2)(x+6)(x-3)
x=2
x= -6
x=3
Answer:
8.15 miles
Step-by-step explanation:
Monday: 1 1/10 miles = 1.1
Multiply by 10 to get to 100
Wednesday: 4 4/5 miles = 4.8
Multiply by 20 to get to 100
Friday: 2 1/4 miles = 2.25
Multiply by 25 to get to 100
1.1 + 4.8 + 2.25 = 8.15 miles
Answer:
Step-by-step explanation:
2x - 1 =0
2x = 1
x = 1/2
Now We have to find P(1/2). If P(1/2) is zero, then 2x - 1 is a factor of P(x)
P(x)= x³ - x² + 2x -1
![P(\frac{1}{2})=[\frac{1}{2}]^{3}-[\frac{1}{2}]^{2}+2*[\frac{1}{2}]-1\\\\=\frac{1}{8}-\frac{1}{4}+1-1\\\\=\frac{1}{8}-\frac{1*2}{4*2}+0\\\\=\frac{1}{8}-\frac{2}{8}\\\\=\frac{1-2}{8}\\\\=\frac{-1}{8}\neq 0](https://tex.z-dn.net/?f=P%28%5Cfrac%7B1%7D%7B2%7D%29%3D%5B%5Cfrac%7B1%7D%7B2%7D%5D%5E%7B3%7D-%5B%5Cfrac%7B1%7D%7B2%7D%5D%5E%7B2%7D%2B2%2A%5B%5Cfrac%7B1%7D%7B2%7D%5D-1%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B8%7D-%5Cfrac%7B1%7D%7B4%7D%2B1-1%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B8%7D-%5Cfrac%7B1%2A2%7D%7B4%2A2%7D%2B0%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B8%7D-%5Cfrac%7B2%7D%7B8%7D%5C%5C%5C%5C%3D%5Cfrac%7B1-2%7D%7B8%7D%5C%5C%5C%5C%3D%5Cfrac%7B-1%7D%7B8%7D%5Cneq%200)
2x - 1 is not a factor of p(x)
Answer:

Step-by-step explanation:
Let
x ----> the average depth of the resulting layers of ash and rock
we know that
To find out the average depth, divide the cubic kilometers of molten rock by the area where all the ejected material fell.
so

Convert to meters
Remember that

so

Convert to mixed number
