Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
Answer:
Step-by-step explanation:
These ways are:
- The first die showing a 4 and the second die showing a different number
- The second die showing a 4 and the first die showing a different number
- Both dice showing 4s
ANSWER:
________
11 hours
EXPLANTION:
___________
First, find the unit rate for how much Amanda earn per hour
270/18 = 15
Next, divide how much money she needs to earn by how much she earn per house to find out how much hours she need to work to earn that much
165/15 = 11
That is your answer :)
FUN FACT:
_________
Johnny Appleseed’s fruits weren’t for eating
I hoped this helped! And have a •AMAZING• day :3
Answer:
The picture shows the answer on the graph
Step-by-step explanation:
-2=-3/4×(x-6)
Distribute -3/4 through the parenthesis
-2= -3/4x+9/2
Multiply both sides of the equation by 4
-8=-3x+18
Move the variable to the left side and change its sign
3x-8=18
Move constant to the right side and change its sign
3x=18+8
Add the numbers
3x=26
Divide both sides of the equation by 3
x=26/3
Alternative Form- x=8 2/3 or x=8.6
Answer:
subtract 2 and add 3
Step-by-step explanation:
8-2=6
6+3=9
9-2=7
7+3=10