Find the intersection points of the parabola y=−3x2−2x+2 and the line 10x−y=−11. Give your answer as two ordered pairs separated by a comma. For example, if you found that the solutions were (1,2) and (3,4) you would enter (1,2),(3,4).

(-1,1),(-3,-19)

Step-by-step explanation:

y=−3x²−2x+2     (1)

10x−y=−11

y=10x+11    (2)

−3x²−2x+2 = 10x+11

3x² + 12x + 9 = 0

x²  + 4x + 3 = 0

(x + 1)(x+3) = 0

x= -1 or x = -3

y = 1 or y = -19

the monthly balance will be $75,000

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'.