Answer:
Derivative: P’(x) = 200 - 2x
If P’(x) = 0 , x = 100
Therefore P’ is positive and P increases until x = 100
So the maximum units to maximize profits is 100 units
And for 100 units the profit in dollar is:
20000 - 10000 = 10000
10000 dollars
Consider the coordinate plane:
1. The origin is the point where Sharon and Jacob started - (0,0).
2. North - positive y-direction, south - negetive y-direction.
3. East - positive x-direction, west - negative x-direction.
Then,
- if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
- if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).
The distance between two points with coordinates 
and 
can be calculated using formula
Therefore, the distance between Jacob and Sharon is
The mistake is there is no parenthesis around 4x+12
Answer:
8x-14=8x-14
Step-by-step explanation:
So if both the equations are the same, that means that any value of x put in the equation will equal itself, so that means that there are infinite solutions to the equation
If you try to solve this equation, this happens
8x-14=8x-14
add 14 to both sides
8x=8x
divide by 8 both sides
x=x
This means that there are infinite solutions because any number could be x and it would still work
We know that 5 fits entirely into our number three times, and then there's a remainder of 4.
If 5 fits three times exactly, it means that our number is at least 15 (5x3).
From here, we have a remainder of 4, which leads to 15+4=19
