Calculate the following expression when x=3, y=-4, and z=2: 3y^2 - 2x + 4z

Calculate the following expression when x=3, y=-4, and z=2: 3y^2 - 2x + 4z

• A. 12
• B. 32
• C. 50
• D. 72

Answer: (C)

To evaluate the expression 3y² - 2x + 4z with the given values of x = 3, y = -4, and z = 2, start by substituting these values into the expression: 1. Calculate y²: \( y² = (-4)² = 16 \) 2. Multiply by 3: \( 3y² = 3 * 16 = 48 \) 3. Calculate -2x: \( -2x = -2 * 3 = -6 \) 4. Calculate 4z: \( 4z = 4 * 2 = 8 \) Now, combine all these results: \( 3y² - 2x + 4z = 48 - 6 + 8 \) Calculating this step-by-step: \( 48 - 6 = 42 \) \( 42 + 8 = 50 \) Thus, the correct answer is 50. This reflects a thorough application of the order of operations and systematic substitution into the expression.

To evaluate the expression 3y² - 2x + 4z with the given values of x = 3, y = -4, and z = 2, start by substituting these values into the expression:

1. Calculate y²:

( y² = (-4)² = 16 )

2. Multiply by 3:

( 3y² = 3 * 16 = 48 )

3. Calculate -2x:

( -2x = -2 * 3 = -6 )

4. Calculate 4z:

( 4z = 4 * 2 = 8 )

Now, combine all these results:

( 3y² - 2x + 4z = 48 - 6 + 8 )

Calculating this step-by-step:

( 48 - 6 = 42 )

( 42 + 8 = 50 )

Thus, the correct answer is 50. This reflects a thorough application of the order of operations and systematic substitution into the expression.