Mary repairs microwaves. her revenue is modeled by the function r(h)=20+30h for every h hours she spends repairing microwaves. her overhead cost is modeled by the function c(h)=10h2−80 . after how many hours does she break even?

The correct answer is:

5 hours.

Explanation:

To find the break-even point, we set the two functions equal to each other:

20+30h = 10h²-80

Since this is a quadratic equation, we want it set equal to 0 to solve. First we will subtract 20 from each side:

20+30h-20 = 10h²-80-20

30h = 10h²-100

Subtract 30h from each side:

30h-30h = 10h²-100-30h

0 = 10h²-30h-100

We will use the quadratic formula to solve this:

Instead of x, we have h. Our values for a, b and c are:

a = 10

b = -30

c = -100

This gives us:

Since a negative number of time makes no sense, we use h = 5.

he spend 5.1 minutes chatting with his friends

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5 1/10

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.