Answer:
13 1/3 and 6 2/3.
Step-by-step explanation:
Let the 2 parts be x and (20 - x).
So x^2(20 - x) must be a maximum.
y = x^2(20 - x)
y = 20x^2 - x^3
Finding the derivative):
y' = 40x - 3x^2 = 0 for maxm/minm value.
x( 40 - 3x) = 0
40 - 3x = 0
3x = 40
x = 40/3.
This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.
So the 2 numbers are 13 1/3 and 6 2/3.
Answer:
110 fence posts
Step-by-step explanation:
102÷6=17
multiply by 2 = 34
330÷6=55
multiply by 2=110
add together= 144 fence posts
Slope is also known as rise over run -
Here, we have the slope
. This means that the rise is
and the run is
. Since both values are positive, we can say that we go up one and we go right four. When we plot this on a graph (the graph is attached), we get the same exact formula we found. **In the graph, I plotted the line
**. Hope this helped!
Answer:
Step-by-step explanation:
If all had been children's tickets, revenue would have been $925. Actual revenue is $1150 -925 = $225 more than that. Changing a child's ticket to an adult's ticket add $1 to the revenue, so there must be $225 such changes.
The number of adult tickets is 225; the number of children's tickets is 925-225 = 700.