Answer:
Step-by-step explanation:
Answer:
- <em> 15</em>
- <em> 42,250</em>
Step-by-step explanation:
The given function is,

where,
P = the total production of apples,
x = the number of trees added.
As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.
The vertex will be at 
The value of the function will be maximum at,

Putting the values,

So at x=15 or for 15 number of trees the production will be ,maximum.
Putting x=15 in f(x) will yield the maximum production of apples.

Answer:
[A] It will take 24 minutes for Joe and Charmaine to meet again at the starting line.
[B] Joe will complete 2 laps
[C] Charmaine will complete 3 laps.
Step-by-step explanation:
Factor two numbers 12 and 8:
12 = 2×2×3
8 = 2×2×2
Find LCM of 12 and 8:
Lcm of 12 and 8 - 2×2×3×2 = 24
Therefore,
[A] How much time does it take for them to meet again at the starting line?
It will take 24 minutes for Joe and Charmaine to meet again at the starting line.
[B] How many laps does Joe complete
Joe will complete 2 laps
[C] How many laps does Charmaine complete?
Charmaine will complete 3 laps.
<u>~lenvy~</u>
The distance between two points is calculated through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values from the given above,
d = √(4 - -4)² + (4 - -4)²
d = 8√2 = 11.31
The distance between the points is approximately equal to 11.31. The value that Jason presented is not the real distance because it does not account for the other set of coordinates.