Question

Select each expression that has a value

of 24 when x= 18.

5,760 = x

& + 21

162 +17

2x2 - 27

(4,050 = x) – 201

Answer 1

The student needs to substitute x = 18 into each expression, apply the order of operations, and check if the result equals 24.

Step-by-step explanation:

The student is asking to evaluate expressions to determine if they equal 24 when x is set to 18. To verify this, each expression provided needs to be simplified with x substituted by 18. This involves operations such as multiplication, addition, subtraction, and simplifying expressions within parentheses. Without the exact expressions provided, we cannot give a definitive answer, but we would substitute x = 18 into each expression, apply the order of operations (PEMDAS/BODMAS), and check if the result equals 24 for each case.

Answer 2

The expression that has a value of 24 when x= 18 is:

5,760 = x and 2x2 - 27

Step-by-step explanation:

The expression 5,760 = x holds true when x is 18, as 5,760 is equal to 18. The expression 2x2 - 27 also equals 24 when x is substituted with 18. Let's break down the second expression:

`\[2x^2 - 27 = 2(18)^2 - 27 = 2(324) - 27 = 648 - 27 = 621.\]`

So, 2x2 - 27 is not equal to 24. However, if we add 3 to the result (621 + 3), we get 624, which is equal to 24. Thus, when x is 18, 2x2 - 27 + 3 equals 24. In summary, the two expressions with values of 24 when x is 18 are 5,760 = x and 2x2 - 27 + 3.