Answer:
X+y=30
X=30-y
Z=yx
Z=y(30-y)
D/dy
z=30–2y
At max 30–2y=0
2y=30 Y=15
Therefore x=15
Step-by-step explanation:
Answer:
40951
Step-by-step explanation:
Using the principles of inclusion - Exclusion
Where C(n,r)=n!/(n-r)!r!
Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000
Total Number of elements in each pair including number repetition of sets is given as
=(1000) × C(5, 2) =10000
Number of elements in each triple of sets is given as
=(100) × C(5, 3) =1000
Number of elements in every four sets
=(10) × C(5, 4)=50
Number of elements in every one set
(1) × C(5, 5)=1
Therefore total number of unique elements=50000-10000+1000-50+1
=40951
Answer:
Step-by-step explanation:
<u>Completing the square</u>
when 
Given equation:
Subtract 40 from both sides:
Divide both sides by 3:
Add the square of half the coefficient of 
to both sides:
Factor the left side and simplify the right side:
Square root both sides:
Add 4 to both sides and simplify the radical:
I think the Answer is 1728 (x-5)^ 10
