Answer:
Option D. All values of x make the equation true
Step-by-step explanation:
<u><em>The options of the question are</em></u>
a.The result is not correct because Step 2 has an error.
b.The solution is x=7.
c.No values of x make the equation true.
d.All values of x make the equation true
we have the equation

solve for x
Apply distributive property right side

Combine like terms

subtract 4x both sides

The equation has infinity solutions
.All values of x make the equation true
Answer:
The equation to determine the total length in kilometers is 
The total length in kilometers of Josh’s hike is 38 km.
Step-by-step explanation:
Given:
Let the total length in kilometers of Josh’s hike be h.
Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.
It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.
Framing the above sentence in equation form we get;

Hence, The equation to determine the total length in kilometers is 
Now Solving the above equation we get;
First we will multiply 2 on both side using Multiplication property we get;

Hence, The total length in kilometers of Josh’s hike is 38 km.
Answer:
x=7/3
Step-by-step explanation:
3(x-4)=-5
3x-12=-5
3x=7
x=7/3
F(x)=2x^2-x-6
Factoring:
f(x)=2(2x^2-x-6)/2=(2^2x^2-2x-12)/2=[(2x)^2-(2x)-12]/2
f(x)=(2x-4)(2x+3)/2=(2x/2-4/2)(2x+3)→f(x)=(x-2)(2x+3)
g(x)=x^2-4
Factoring
g(x)=[sqrt(x^2)-sqrt(4)][sqrt(x^2)+sqrt(4)]
g(x)=(x-2)(x+2)
f(x)/g(x)=[(x-2)(2x+3)] / [(x-2)(x+2)
Simplifying:
f(x)/g(x)=(2x+3)/(x+2)
Answer: Third Option (2x+3)/(x+2)