<h2>
For a = 1 and b = 10 x+1 and x+2 factors of x³-ax²-bx-8 = 0</h2><h2>
Other factor is (x-4)</h2>
Step-by-step explanation:
We have
x³-ax²-bx-8 = 0
Its factors are x+1 and x+2
That is x = -1 and x = -2 are its roots
Substituting x = -1
(-1)³-a(-1)²-b(-1)-8 = 0
-1 - a + b - 8 = 0
b - a = 9 ---------------------eqn 1
Substituting x = -2
(-2)³-a(-2)²-b(-2)-8 = 0
-8 - 4a + 2b - 8 = 0
2b - 4a = 16 ---------------------eqn 2
eqn 1 x -2
-2b + 2a = -18 ---------------------eqn 3
eqn 2 + eqn 3
-2a = -2
a = 1
Substituting in eqn 1
b - 1 = 9
b = 10
For a = 1 and b = 10, x+1 and x+2 factors of x³-ax²-bx-8 = 0
The equation is x³-x²-10x-8 = 0
Dividing with x + 1 we will get
x³-x²-10x-8 = (x+1)(x²-2x-8)
Dividing (x²-2x-8) with x + 2 we will get
x²-2x-8 = (x+2)(x-4)
So we have
x³-x²-10x-8 = (x+1)(x+2)(x-4)
Other factor is (x-4)
20/100 x 8000 = 1600
1600 x 3 = 4800
8000 - 4800 = 3200
The motorcycle is worth $3,200 after three years.
He paid 24 for the rental......he rode 18 miles...
24/18 = 1.33 per mile
that time that he rented it and returned it is just extra info that is not needed
A). Yes. When you convert to a larger unit, you need less of them
to hold the same volume, so the number decreases.
(You have less gallons of gas in the tank than cups of gas.)
B). No, for the same reason.
C).
D).
No,no ! Both are absurd. The volume doesn't know or care what unit you're
using to describe it, and certainly doesn't depend on the unit you use.
(Changing the number of kilometers to Grandma's house to miles
doesn't change the distance.)
E). Yes. As I've been trying to say all along, the actual volume doesn't change.
(9,-36)
X=9 Y= -36
-3x-9=1/3x-39
Solve it
The answer is x=9
Y=-3x-9
Y= -3(add the 9 because 9 is equal x) -9
Y=-3(9)-9
Solve it
The answer is y=-36
