Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 18. Y = 7 when x = 6

y=21 when x=18.

Step-by-step explanation:

When x=6, y=7.

To get from 6 to 18 (for x), you must multiply by 3.

6*3=18

To get from 7 to __ (for y), you must do the same as done to x.

7*3=21

- 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

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions