Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2
function y = x
slope of 1
y intercept at 0
x intercept at 0
Answer:
Results are below.
Step-by-step explanation:
<u>First, we need to calculate the variable income per job:</u>
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First job= 450 - 150= 300
Second job= 675 - 150= 525
<u>Now, the hourly rate:</u>
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Hourly rate= total variable income / number of hours
First job= 300 / 4= $75
Second job= 525 / 3= $175
It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour
What is 40cm 25% of?
The answer is 160cm.
Rachel is 160cm. 160 - 40 = 120.
Lucy is 120cm tall.
Answer: 
Step-by-step explanation:
Answer:

Step-by-step explanation:
Expression for the rectangular area and perimeter are, respectively:


After some algebraic manipulation, area expression can be reduce to an one-variable form:


The first derivative of the previous equation is:

Let the expression be equalized to zero:


The second derivative is:

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

The maximum area is:

