Answer:
c=-5
d=1
Step-by-step explanation:

I'm going to reorder the left-hand side. Multiplication is commutative.

Since the bases are the same in
and the operation is multiplication, I'm going to add the exponents giving me:

So this implies we have two equations to solve:
and 
So the first equation can be solved by dividing both sides by 4 giving you
.
The second equation can be solved by subtracting 2 on both sides giving you
.
Answer:
y=4x-5.
Step-by-step explanation:
slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;
1) to find value of k:
if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;
2) to find the value of 'b':
if to substitute the given coordinates into the equation of the given line, then:
15=4*5+b, b= -5.
3) finally, y=4x-5
Answer:
The monopolist's net profit function would be:

Step-by-step explanation:
Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.
Therefore, if the demand curve is given by the function:

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.
Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

Answer:

Step-by-step explanation:
height is equal to one third times pi times radius squared times volume