Answer:
The values of 'x' are -1.2, 0, 0,
or
.
Step-by-step explanation:
Given:
The equation to solve is given as:

Factoring
from all the terms, we get:

Now, rearranging the terms, we get:

Now, factoring
from the first two terms and 6 from the last two terms, we get:

Now, equating each factor to 0 and solving for 'x', we get:

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.
Therefore, the values of 'x' are -1.2, 0, 0,
or
.
Here's y
y=<span><span><span><span>−<span>8x</span></span>+29
</span><span><span>−x</span>+<span>3
Hope this helps:)
</span></span></span></span>
Fit Fast: a set feet per class => y = Ax
Stepping Up: a monthly fee plus an additioal fee per class => h = Bx + C
You can discard the second and the fourth systems because they do not have the form established from the statement.
The first system produce an obvious result given that is represents an option that is always better than the other 5.5x will be lower than 7.5x + 10 for any positive value of x, and so there is no need to make any comparission.
The third system is
y = 7.5x and y = 5.5x + 10 which need to be solved to determine when one rate is more convenient than the other.
Answer: y = 7.5x and y = 5..5x + 10
<h2>
Hello!</h2>
The answers are:

<h2>Why?</h2>
To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.
So,
Tet be the first car speed "x" and the second car speed "y", writing the equations we have:
For the first car:

For the second car:
We know that the speed of the second car is the speed of the first car plus 14 mph, so:

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles, so, we can calculate the relative speed between them:
If the cars are moving towards each other the relative speed will be:

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

Writing the equation:

So, the speed of the first car is equal to 41 mph.
Now, for the second car we have that:

We have that the speed of the second car is equal to 55 mph.
Hence, the answers are:

Have a nice day!