George has opened a new store and he is monitoring its success closely.

He has found that this store’s revenue each month can be modeled by r(x)=x^2+5x+14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.

He has also found that his expenses each month can be modeled by c(x)=x^2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.

What does (r−c)(5) mean about George's new store?

1.  (r - c) (3)  =   r(3)  - c(3)  =

r(3)  =  (3)^2+5(3)+14   = 38

c(3) =  (3)^2−3(3)+4  =    4

So   r(3)  - c(3)   =   38  - 4   =    34

The store makes a profit of $3400 in the third month of business

2.  (p * c) (2)   =  p(2) * c(2)  =

p(2)  = 100−2(2)   =  96

c(2)  = 50+5(2)  =  60

So

p(2) * c(2)   =   96 * 60  =  $5760  when the price per customer  = $60

Step-by-step explanation:

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

54.864 meters

step-by-step explanation: