C. 10
14x+14x+(3x+10)+(3x+10)=
34x+20=360=
X=10
Area of Rectangle = length times width
lets say length = 2x-4
width = x+5
Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.
With that being said:
length * width = area
(2x-4)(x+5)=area
FOIL (First Outer Inner Last)

Simplify:
12 (3) = 36
36+2= 38
so the answer is -38/3
Answer:
Step-by-step explanation:
The revenue r(x) from the sale of x coffee mugs is given by
r(x) = 6.5x
the function for the cost of manufacturing x coffee mugs is c(x)= 0.75x + 1850.
Profit = Revenue - cost
P(x) = r(x) - c(x)
P(x) = 6.5x - (0.75x + 1850)
P(x) = 6.5x - 0.75x - 1850
P(x) = 5.75x - 1850
A) profit when x = 500 is
P = 5.75 × 500 - 1850
P = 2875 - 1850
P = 1025
profit when x = 1000 is
P = 5.75 × 1000 - 1850
P = 5750 - 1850
P = 3900
profit when x = 5000 is
P = 5.75 × 5000 - 1850
P = 28750 - 1850
P = 26900
B) The profit function would be
P(x) = r(x) - c(x)
P(x) = 5.75x - 1850