In this case, we will use our Pythagorean Theorem.
a = 84
b = 13
c = x

Thus,
x = 85.
Question:
The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour
Answer: 13 dollars per hour
Step-by-step explanation:
The rate of change (ROC) for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :
Point a = (5, 65) = (x2, y2)
Point b = (2, 26) = (x1, y1)
Calculating the gradient or slope :
Rate of change = (y2 - y1) / (x2 - x1)
Rate of change = (65 - 26) / (5 - 2)
Rate of change = 39 / 3
= 13 dollars per hour
Answer:
Quotient: 
Please see the attachment.
Step-by-step explanation:
Given: 
We are given rational expression and need to find quotient.
Using long division method to find the quotient.
First we get rid of
by
)
( 





Hence, The quotient of division is 
Answer:
10*10=100
50*2=100
5*20-100
Step-by-step explanation:
Answer:
-1.1 cups
Step-by-step explanation:
To find out how much was spent on the main bottle of detergent, we must add the expenses that were incurred in the wash.
The statement tells us that first there is an expense of 0.4 cups of laundry detergent while washing one load of laundry and 0.7 coupon another load, therefore this means that the change in the bottle would be:
(-0.4) + (-0.7) = -0.4 - 0.7 = -1.1 cups.
In other words, the main bottle would have 1.1 cups less, that is, -1.1 cups.