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:
17/100
Step-by-step explanation:
Step 1:
0.17 = 17/100
Answer:
17/100
Hope This Helps :)
Answer:
x/3 - 3
Step-by-step explanation:
⅓(x - 9)
⅓(x) - ⅓(9)
x/3 - 3
No like terms
Answer:
The domain of the graph is all real numbers less than or equal to 0.
Hope this helps! :D
One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100
Notice the equation has the opposite of h and k and 100 is the result of squaring 10.
