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:
9
Step-by-step explanation:
use half the x coefficent and square it
x^2 − 6x + (-3)^2 = 10 + (-3)^2
x^2 - 6x + 9 = 10 + 9
(x - 3)^2 = 19
Step-by-step explanation:
density is -mass over volume
<h3>so calculate and get your
answer</h3>
141.6 cm cubed. Hope this helps
Answer:
31 and 28
Step-by-step explanation:
<u>Let x represent the first number.</u>
<u>Let y represent the second number.</u>
x + y = 59
x - y = 3
<u>Use substitution method to solve.</u>
x = y + 3
y + 3 + y = 59
2y + 3 = 59
<u>Subtract both sides by 3.</u>
2y = 56
<u>Divide both sides by 2.</u>
y = 28
<u>Let's find the second number.</u>
59 - 28 = 31
<u>Check</u>
31 -28 = 3
<u>Answer</u> The two numbers are 28 and 31.