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!
Answer:
5x + 100
Step-by-step explanation:
(2x + 6) x 2 = 4x + 12
14x + 8 - 4x + 12 =
10x + 20 / 2 =
5x + 100
Hope that helps!
Answer:
12:40 is the anwser
Step-by-step explanation:
If his flight leaves at 3:15 and it takes and hour and 35 minutes to gett there than you would have to subtract 1 hour and 35 minutes from 3:15 so
3:15 minus 1 hour is 2:15
2:15 minus 35 minutes is 1:40
so now he wants to be and hour and 35 minutes earlier so the anwser would be
2:15 minus 1 hour is 1:15
1:15 minus 35 minutes is 12:40
3 3/4 x 1 1/2 = 15/4 x 3/2 = 45/8 = 5.625