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:
$6.87
Step-by-step explanation:
For the blueberries we multiply 3.98 with .6 pounds to get 2.39
We do the same for the other item 2.49 X 1.8 = 4.48
Total the two for the answer:
2.39 + 4.48 = 6.87
Answer: true
Step-by-step explanation:
Answer:

Step-by-step explanation:
The slope of a line given two points can be found by using the formula

From the question we have

We have the final answer as

Hope this helps you
Answer:
The area is 11317.51
Step-by-step explanation:
The sum of 2 sides must be less than the third side (largest side) for a triangle to be formed.
b+c<a
133+174 < 240
A triangle can be formed
To use Herons formula for the area
We find S = 1/2( a+b+c)
= 1/2(240+133+174)
= 1/2 (547)
= 273.5
Area = sqrt( S (S-a) (S-b)(S-c))
sqrt((273.5 ) (273.5 -240) (273.5-133) (273.5-174))
sqrt((273.5)(33.5) (140.5) (99.5))
sqrt(128085964.4)
11317.50699
The area is 11317.51