Final answer:
The numerical value of the expression 9x²+5y for x=4 and y=3 is 159. This value is calculated by substituting the given values for x and y into the expression, resulting in 9(4)²+5(3) = 144 + 15 = 159.
Step-by-step explanation:
To find the numerical value of the expression 9x²+5y when x=4 and y=3, we substitute the given values of x and y into the expression.
- Substitute x = 4 into the expression: 9(4)² = 9 * 16 = 144.
- Substitute y = 3 into the expression: 5(3) = 15.
- Add the values obtained from steps 1 and 2: 144 + 15 = 159.
Therefore, the numerical value of the expression when x=4 and y=3 is 159, which is not listed in the options A) 309, B) 357, C) 268, D) 412. It appears there might be a mistake in the provided options.