Are you trying to graph it because it is in y=mx+b form.
Answer:

Step-by-step explanation:
We want to simplify:

Recall the Pythagorean Identity:

So:

Substitute:

Factor. We can use the difference of two squares pattern:

Cancel. Hence:

Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
A mountaineer climbed 1000 feet at a rate of x feet/hour
1000 = x ( t 1 ) eq1
5000 = X ( t 2) eq2 ( he climbed additional at different rate )
the rate was 10 feet / hour less than twice the first rate
X = 2x - 10 eq3
take eq1 and eq 2
( total time = t 1 + t 2 = T)
T = 1000/x + 5000/X
but X = 2x-10
T = 1000/x + 5000/( 2x -10)
T = 1000/x + 5000/( 2(x-5))
T = 1000/x + 2500 / (x-5)
You need to be more specific. What did the two teachers receive, and what did Ms. Lopez receive? If you want us to help you, you have to give <em>numbers</em>.