Evaluate the expression if x=16​, y=- 4​, and a=4.

Question

4y^2-x/a+12

Answer 1

To evaluate the expression \( 4y^2 - \frac{x}{a} + 12 \) with the given values \( x = 16 \), \( y = -4 \), and \( a = 4 \), we can substitute these values into the expression.

1. Calculate \( 4y^2 \): \[ 4y^2 = 4(-4)^2 = 4 \times 16 = 64 \]

2. Calculate \( \frac{x}{a} \): \[ \frac{x}{a} = \frac{16}{4} = 4 \]

3. Substitute these values into the original expression: \[ 64 - 4 + 12 \]

4. Perform the arithmetic: \[ 64 - 4 = 60 \] \[ 60 + 12 = 72 \]

Thus, the value of the expression is \( \boxed{72} \).