Question

Consider the expressions 3x(x - 2) + 2 and 2x2 + 3x – 16.

Answer 1

Answer:

For x = 3, each expression has a value of 11. For x = 6, each expression has a value of 74. These results suggest that the expressions are equivalent

Explanation:

The given expressions are:

3x(x - 2) + 2 and 2x² + 3x - 16

Substitute x = 3 into 3x(x - 2) + 2

3(3)(3 - 2) + 2

= 9(1) + 2

= 9 + 2

= 11

Substitute x = 3 into 2x² + 3x - 16

2(3)² + 3(3) - 16

2(9) + 9 - 16

18 + 9 - 16

= 11

Substitute x = 6 into 3x(x - 2) + 2

3(6)(6 - 2) + 2

18(4) + 2= 74

Substitute x = 6 into 2x² + 3x - 16

2(6)² + 3(6) - 16

2(36) + 18 - 16

72 + 2

= 74

For x = 3, each expression has a value of 11. For x = 6, each expression has a value of 74. These results suggest that the expressions are equivalent