An online bargain print service charges $p for the first 200 business cards and $x for each set of 100 above the first 200. Express the cost of the cards algebraically as a piecewise function

F(n) = pn ;p + nx

Step-by-step explanation:

Expressing cost of cards as a piecewose function :

Number of cards, x up to 200

For n ≤ 200 ; charge = $p * n

For each set of 100 after 200;

a > 200

Each set of 100 = $x

n = (a - 200) / 100

Cost = $p + $x * n

50

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.