Answer:
1. x=3 x=1
2. x=0
Step-by-step explanation:
We want f(x) to equal g(x)
f(x)=g(x)
1/(x-2) = (x-2)
Using cross products
1 = (x-2) * (x-2)
1 = x^2 -2x-2x+4
Subtract 1 from each side
1-1 = ^2 -2x-2x+4-1
0 = x^2 -4x+3
Factoring
What number multiplies to 3 and adds to -4
-3*-1 = 3
-3+-1 = -4
0= (x-3) (x-1)
Using the zero product property
x-3 =0 x-1=0
x=3 x=1
2. f(x)=x^2+4x+2
g(x)=(1/2)^ x+1
From the graph,we can see they intersect at x=0
Answer:
A
Step-by-step explanation:
x² - 3x - 54 = 0
x² - 9x + 6x - 54 = 0
x(x - 9) + 6(x - 9) = 0
(x - 9)(x + 6) = 0
x = -6,9
30h-40+60 or 30h+20 I think
Answer:
x = 5.5 (rounded)
Step-by-step explanation:
Equation: 700 = 132.69x - 25.96
Add 25.96 to both sides: 700+25.96 = 132.69x -25.96 + 25.96
Simplify: 725.96 = 132.69x
Isolate x
Divided both sides by 132.69: 
Simplify: x = 5.5 (rounded)