Final answer:
To evaluate the expression 2(1/16+x²) +5y for x=14 and y=12, the values are substituted in, and the expression simplifies to 452.125.
Step-by-step explanation:
The question asks to evaluate the expression 2(1/16+x²) +5y when x=14 and y=12. To solve this, we substitute the given values for x and y into the expression and simplify as follows:
- First, substitute x with 14: 2(1/16+14²).
- Calculate 14²: 196.
- Add 1/16 to 196: 196 + 1/16 = 196.0625.
- Multiply the sum by 2: 2 * 196.0625 = 392.125.
- Substitute y with 12 in 5y: 5*12 = 60.
- Finally, add the results together: 392.125 + 60 = 452.125.
Therefore, the expression evaluates to 452.125 when x = 14 and y = 12.