Find the intersection point between the 2 restraint equations:

Substitute back in to find y-value:

P is maximized at point (12,6)
When x=0,
y=-(0-2)^3-5
y=3
When y=0,
(x-2)^3=5
x-2= +/- 5^1/3
x= +/- 5^1/3 +2
x= 3.70997 or x=0.29002
To find the turning point at y, substitute the information that you have found above.
y=-(3.70997-2)^3-5
y=-9.99994
Find the mid-point next as mid-point is also the turning point.
(3.70997+0.29002)÷2=1.999995
Hence, Turning point is (1.999995, 9.99994)
Plot a graph using turning point, y value and the 2-x values.
Answer:
165 different teams of 3 students can be formed for competitions
Step-by-step explanation:
Combinations of m elements taken from n in n (m≥n) are called all possible groupings that can be made with the m elements so that:
- Not all items fit
- No matter the order
- Elements are not repeated
That is, a combination is an arrangement of elements where the place or position they occupy within the arrangement does not matter. In a combination it is interesting to form groups and their content.
To calculate the number of combinations, the following expression is applied:

It indicates the combinations of m objects taken from among n objects, where the term "n!" is called "factorial of n" and is the multiplication of all the numbers that go from "n" to 1.
In this case:
Replacing:

Solving:

being:
- 3!=3*2*1=6
- 8!=8*7*6*5*4*3*2*1=40,320
- 11!=39,916,800
So:

C= 165
<u><em>165 different teams of 3 students can be formed for competitions</em></u>
3.46 to the nearest tenth is 3.5
6 is greater than 5, and so you round up
3.5 is your answer
hope this helps