Answer:
the line with the slope of 1/2 will be greater than the one with the slope of 1/4 because 1/2 is greater than 1/4
Step-by-step explanation:
Answer:
(4,0),(0,-12)
Step-by-step explanation:
Answer:
a) 
b) 
c)


Step-by-step explanation:
a)
We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:
P(x) = R(x) - C(x)
Finding Profit Function (P(x)):

This is the profit function.
b)
The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.
Remember the power rule for differentiation shown below:

Now, we differentiate the profit function to get the marginal profit function (P'):

This is the marginal profit function , P'.
c)
We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

and

Answer: 14 dimes and 3 quarters
Step-by-step explanation:
14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters
Parallel lines are in the same plane, never intersect, and have the same slope.