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
Well, "m" represent $32 she spends a month and "t" be the $0.75 for each minute will be.
First, since the bill is for one month, we can place "m" by itself with no add-ons to it since it's been stated only a month is going by and it stays $32. However, depending of "t" the price can change without the original monthly plan changing, so we write it like m + (t . x). "x" represent every minute spent over the time limit, so it's "t" times "x" since whatever "t" is is determined by "x". If "x" is 0, then "t" is 0 since nothing is added and it'd remain $32. If say "x" was 10 however, that would mean 10 minutes have gone over the limit, so 0.75 x 10 would be $7.50 + $32 making it $39.50.
Your answer is m + (t . x)
Note: "m" and "t" can be different if you choose.
There are four quadrants in an x-y plane, Quadrant 1 consists of positive value of x and positive value of y: (+, +); Quadrant 2 consists of (-, +); Quadrant 3: (-,-); Quadrant 4: (+, -). If the x axis represents the number of hours, it should always have a positive value, and the y axis represents the temperature, it may be both positive and negative. So the possible quadrants are only quadrant 1 and 4.
Don't quote me but i'm pretty sure it is a right triangle
