Which ordered pair in the form (a, b) is a solution of this equation? 3a – 4b = 21 a. (–2, –3) b. (0, 7) c. (–3, –2) d. (7, 0)

3a - 4b = 21

check (-2 , -3)

3(-2) -4(-3) =21

-6 +12  = 21

6 does not = 21  so NO

check (0 , 7)

3(0) -4(7) =21

0-28=21

-28 does not equal 21  so NO

check (-3 , -2)

3(-3) -4(-2) =21

-9 +8  = 21

1 does not = 21  so NO

check (7 , 0)

3(7) -4(0) =21

21  = 21

Choice D

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x