Question

If x equals negative 2 and y equals the square root of 12, then the expression 2 × 3x³ + 2y² equals A) 0 B) 12 C) 48 D) 96

Answer 1

If x equals negative 2 and y equals the square root of 12, then the expression 2 × 3x³ + 2y² equals -24.

None of the given options is correct

Step-by-step explanation:

To find the value of the expression 2 × 3x³ + 2y², we substitute the given values for x and y into the expression.

Given:

• x = -2
• y = √12

Substituting these values into the expression, we have:

2 × 3(-2)³ + 2(√12)²

Now, let's simplify each part of the expression step-by-step:

1. Simplify the exponent in 3(-2)³:

3(-2)³ = 3(-8) = -24

2. Simplify the exponent in (√12)²:

(√12)² = 12

Now, substitute the simplified values back into the expression:

2 × (-24) + 2(12)

Simplify further:

-48 + 24 = -24

Therefore, the expression 2 × 3x³ + 2y², when x = -2 and y = √12, equals -24.

The correct answer is -24.

So, none of the given options is correct