Simplify. (3x^2-2x+2)-(x^2+5x-5)

Thank you:)

( I’m mainly confused if we distribute the - sign in the middle)

2 x^2 - 7 x + 7

Step-by-step explanation:

(3x^2-2x+2)-(x^2+5x-5)

Distribute the minus sign to all terms in the  second parenthesis.

Plus signs become minus and minus signs become plus signs

(3x^2-2x+2)-x^2-5x+5

Combine like terms

3x^2 -x^2 -2x -5x +2 +5

2 x^2 - 7 x + 7

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns