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:
t=0, 6, -4
Step-by-step explanation:
first, you can factor out t² of the equation
t²(t²-2t+24)=0, then factor the trinomial
t²(t-6)(t+4)=0, now set each factor equal to zero
t²=0, so t = 0
t-6=0, so t = 6
t+4=0, so t = -4
If you graph it, you can also see the answers.
Answer: 5.5
Step-by-step explanation: please mark brainlyest
Answer:
A) Function Rule: <u> y = x+3</u>
<u />
Substitution:
y = 2 + 3
y = 3 + 3
y = 4 + 3
y = 5 + 3
B) Function Rule: <u> y = 5x</u>
<u />
Substitution:
y = 5 * 2
y = 5 * 3
y = 5 * 5
y = 5 * 6
C) Function Rule: <u> y = x + (x - 1)</u>
<u />
Substitution:
y = 2 + (2 - 1)
y = 3 + (3 - 1)
y = 4 + (4 - 1)
y = 5 + (5-1)
Hope this helps! Tell me if you have any more questions!