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:
$39.96
Step-by-step explanation:
Since it is 20% off, we would multiply by .8, as we subtract the .2 (20%) off of the price.
$49.95 x 0.8 = $39.96
The ratio is 2 weeks:6 centimeters, so let’s simplify: To know how much it grew in ONE week, we need to divide by 2, so 2/2=1 and 6/2=3 so the ratio now is 1:3 now, we multiply those by the number of weeks: 6. So 1x6=6 and 3x6=18 the ratio is 6:18. The plant will be 18 centimeters after 6 weeks
36/7+4
36/11
36÷11=3.27272727.... Repeating