Final answer:
To find the value of the expression 2x²−5x−3 when x = 7, substitute 7 into the expression, compute the square, and perform the arithmetic to arrive at the value of 60.
Step-by-step explanation:
The student has asked for the value of the expression 2x²−5x−3 when x = 7. Let's solve this step by step:
- First, substitute the value of x into the expression: 2(7)² - 5(7) -3.
- Calculate the square of 7 which is 49. This gives us 2(49) - 5(7) - 3.
- Multiply 2 by 49 to get 98, and then multiply 5 by 7 to get 35.
- Now we have 98 - 35 - 3.
- Subtract 35 from 98 to get 63, and then subtract 3 to get the final answer.
So, the value of the expression when x = 7 is 60.