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:
24 minutes
Step-by-step explanation:
figure out how much time he spent in total from the times given which is an hour and 42 minutes
subtract 31 minutes to account for science
then add 16 to 31 which gives you 47 then subtract that from the time still left
Then the time left after subtracting 47 and 31 gives you 24 minutes which is how much tyler spent on reading
I think the first one is C
45b + 27 = 9(5b + 3)
gcf = 9
So you should know that an independent variable is a variable that is not changed by other variables but a dependent variable does change by other variables.
So in this question, c is a dependent variable and m is an independent variable :))))
I hope this is helpful
have a nice day