(4xy-2y^2)+2y
4-2=2....x will remain y^1-y^2=y^-1
2xy^-1+2y
answer=2x+2y
Answer:
a) 1/2
b) 250
Step-by-step explanation:
The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for
such that
is maximized. Once we have that
, we can easily find the answer to part b.
Finding the value that maximizes
is the same as finding the value that maximizes
, just on a smaller scale. So, we really want to maximize
. To do this, we will do a trick called completing the square.
.
Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of
such that the inner part of the square term is equal to
.
.
So, the answer to part a is
.
We can then plug
into the equation for p to find the answer to part b.
.
So, the answer to part b is
.
And we're done!
8x+3=43
-3 -3
8x=40
/8 /8
X=5
Answer:C or 11
Step-by-step explanation:
3x²-1
First you insert x... which is 2
3(2)²-1
then you square the 2. (multiply it by itself)
3(4)-1
Then you multiply 3 by 4 to get 12
12-1
And then you subtract for your answer
11
Answer:
The volume of the cylinder is 792
Step-by-step explanation:
3.14*6^2*7= 791.68 then when you round it up to the nearest whole number it's 792