Question

What is the value of the expression below when y, equals, 5y=5?

3, y, squared, minus, 8, y, plus, 9
3y
2
−8y+9

Answer 1

The value of the expression 3y^2 - 8y + 9 when y = 5 is 44. This value is calculated by substituting 5 for y and following the order of operations to evaluate the expression.

Step-by-step explanation:

The student is asking about the value of a quadratic expression when a specific value for y is substituted into the equation. To find the value of 3y² - 8y + 9 when y equals 5, we substitute 5 in place of y and evaluate it step by step.

1. Replace y with 5 in the equation: 3(5)² - 8(5) + 9.
2. Square 5 and multiply by 3: 3(25) - 8(5) + 9.
3. Multiply the values: 75 - 40 + 9.
4. Add and subtract the numbers: 75 - 40 + 9 = 35 + 9 = 44.

Therefore, when y = 5, the value of the expression 3y² - 8y + 9 is 44.