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
3 because you have to take away 6 from both sides you have x=3 that is your answer 3
The graph is missing, so I am using a graph for a similar question.
It migh even be the same question, but the important thing is that I am going to explain you the situation in several sections of this diagram and so you will be able to work this kind of problems by your selfl.
The graph is attached (see the figure).
The graph shows the evolution of the
speed (vertical-axis) over time (horizontal-axis).In the
section A, the speed increases linearly: so the car is
speeding up uniformly (constant acceleration).
In the
section B, the line is horizontal which shows that the speed is constant. That is a
uniform motion.
In the
section C, the speed is decreasing uniformly, so the car is
slowing down with uniform negative acceleration.
So, for this graph, the answer is:
in the setion C. the car is slowing down (uniformly).
Answer:
no solution
Step-by-step explanation:
Given
3(x - 3) = 3x , that is
3x - 9 = 3x ( add 9 to both sides )
3x = 3x + 9 ( subtract 3x from both sides )
0 = 9 ← not possible
This indicates the equation has no solution
Answer: More Info
Step-by-step explanation:
