2x+3y=60 solve for x...
x=(60-3y)/2
p=xy^3, using x from above:
p=y^3(60-3y)/2
p=(60y^3-3y^4)/2
dp/dy=(180y^2-12y^3)/2
dp/dy=90y^2-6y^2
dp/dy=0 when:
90y^2-6y^3=0
6y^2(15-y)=0, we know y>0 so
y=15, since x=(60-3y)/2
x=7.5
(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
The rate of change is 1/2
Because it’s the constant and whatever x is, it would always multiply by 1/2
Answer: 170
Step-by-step explanation: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.

. Subtract 10x from both sides.

. Divide by 5 on both sides. x=20. So you would need to buy 20 movies.
Answer:

Step-by-step explanation:
Given:

We need to complete this Statement.
By Solving the above equation we get;
We will take some common factor out so we will get;

Hence the Complete statement is 