When visiting friends in a state that has no sales tax, two families went to a fast-food restaurant for
lunch. The Browns bought 4 cheeseburgers and 3 medium fries for $16.53. The Greens bought 5
cheeseburgers and 4 medium fries for $21.11.
Using c for the cost of a cheeseburger and f for the cost of medium fries, write a system of
equations that models this situation.

The system of equations that models this situation is

4c + 3f = 16.53

5c + 4f = 21.11

Step-by-step explanation:

Let c represent the cost of a cheeseburger.

Let f represent the cost of medium fries.

The Browns bought 4 cheeseburgers and 3 medium fries for $16.53. It means that

4c + 3f = 16.53

The Greens bought 5

cheeseburgers and 4 medium fries for $21.11. It means that

5c + 4f = 21.11

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3