Final answer:
The expression 6 + 4 × x² - 5x evaluates to 27 when x is substituted with the value of 3, following the correct order of operations.
Step-by-step explanation:
The question requires us to evaluate the expression 6 + 4 × x² - 5x when x=3, without the use of a calculator. Here's a step-by-step explanation:
- First, substitute the value of x with 3 into the expression: 6 + 4 × (3)² - 5 × (3).
- Next, calculate the square of 3: (3)² = 9.
- Then, multiply 4 by 9 from the previous step: 4 × 9 = 36.
- Now, multiply 5 by 3: 5 × 3 = 15.
- Finally, add and subtract the results in order: 6 + 36 - 15.
- Perform the addition and subtraction: 42 - 15 = 27.
So, the evaluated expression results in 27.