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Evaluate the expression if x=16​, y=- 6​, and a=2.

2y^2-x/a+12

3 answers

To evaluate the expression \( 2y^2 - \frac{x}{a} + 12 \) given \( x = 16 \), \( y = -6 \), and \( a = 2 \), we can follow these steps:

  1. Calculate \( 2y^2 \).
  2. Calculate \( \frac{x}{a} \).
  3. Combine the results with the constant 12.

Let's go step by step.

  1. Calculate \( 2y^2 \): \[ y^2 = (-6)^2 = 36 \] \[ 2y^2 = 2 \times 36 = 72 \]

  2. Calculate \( \frac{x}{a} \): \[ \frac{x}{a} = \frac{16}{2} = 8 \]

  3. Now substitute these values back into the expression: \[ 2y^2 - \frac{x}{a} + 12 = 72 - 8 + 12 \]

  4. Perform the addition and subtraction: \[ 72 - 8 = 64 \] \[ 64 + 12 = 76 \]

Thus, the value of the expression is \( \boxed{76} \).

Try again

Let's go through the evaluation of the expression \( 2y^2 - \frac{x}{a} + 12 \) again, step by step, using \( x = 16 \), \( y = -6 \), and \( a = 2 \).

  1. Calculate \( y^2 \): \[ y^2 = (-6)^2 = 36 \]

  2. Calculate \( 2y^2 \): \[ 2y^2 = 2 \times 36 = 72 \]

  3. Calculate \( \frac{x}{a} \): \[ \frac{x}{a} = \frac{16}{2} = 8 \]

  4. Combine the results: \[ 2y^2 - \frac{x}{a} + 12 = 72 - 8 + 12 \]

  5. Perform the operations:

    • First, do the subtraction: \[ 72 - 8 = 64 \]
    • Then, add 12: \[ 64 + 12 = 76 \]

Thus, the correct evaluated value of the expression is \(\boxed{76}\).

If there’s a different method or aspect you’d like me to consider, please let me know!