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)
Answer:
The answer is 13 1/8ft3
Explanation:
Substitute into the formula:
Volume = 3 1/2 x 2 1/2 x 1 1/2
= 7/2 x 5/2 x 3/2
= 105/8
= 13 1/8 ft3
Answer:
x=13, 16(x-1)
Step-by-step explanation:
For 38, you have to first divide both sides by 2.
This becomes, x-6=7
Add 6 to both sides
x=13.
For 40. You can can distribute the 8.
This makes it 16x-16.
With this you can than, factor out the 16.
16(x-1).
Answer:
B ($9.78)
Step-by-step explanation:
Answer:
25/36
Step-by-step explanation:
Use the top top, bottom bottom method.
5*5 = 25
6*6 = 36
