Answer:
Step-by-step explanation:
A=L(W)
A=2x-7(3x+4)
Use distributive property
Combine like terms
Answer:
x ≤ 39/5
Step-by-step explanation:
To solve for the inequality, isolate the x variable.
5x - 7 ≤ 32
Add 7 to both sides.
5x ≤ 39
Divide both sides by 5.
x ≤ 39/5
Given,
The population of the county in 2000 is 844.
The population of the county in 2009 is 856.
The population of the county in 2015 is 810.
Here, the population of 2000 and 2009 is given.
As known, the value changes linearly between two points.
When the value changes linearly between two points, then value of point between given points can be obtained by interpolation.
Hence, to predict the population of county interpolation is used.
<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)
