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
Isolate the x. Subtract 3x from both sides, and add 4 to both sides
-2x (-3x) - 4 (+4) < 3x (-3x) + 21 (+4)
-2x - 3x < 21 + 4
Simplify. Combine like terms
-5x < 25
Isolate the x. Divide -5 from both sides (remember to flip the sign).
-5x/-5 < 25/-5
x > 25/-5
x > -5
x > -5 is your answer
hope this helps
Answer: i got 44 for the answer
Answer:
If there are 2 quarters for every 3 nickels,
then there are 
quarters.
If there are 2 dimes for every quarter,
then there are 
dimes.
If the number of pennies and nickels together are equal to the number of dimes, then there are 
pennies.
