Question

Select each expression that has a value of 24 when x = 18.

a) 5,760 = x
b) x + 21
c) 162 + 17
d) 2x^2 - 27
e) (4,050 = x) - 201

Answer 1

The expressions that have a value of 24 when x = 18 are x + 21 and (4,050 = x) - 201.

Step-by-step explanation:

To find the expressions that have a value of 24 when x = 18, we need to substitute x = 18 into each expression and simplify. Let's go through each option:

1. a) 5,760 = x: 5,760 is not equal to 24, so it is not correct.
2. b) x + 21: 18 + 21 = 39, which is not equal to 24, so it is not correct.
3. c) 162 + 17: 162 + 17 = 179, which is not equal to 24, so it is not correct.
4. d) 2x^2 - 27: 2(18)^2 - 27 = 648 - 27 = 621, which is not equal to 24, so it is not correct.
5. e) (4,050 = x) - 201: 4,050 - 201 = 3,849, which is not equal to 24, so it is not correct.

From the options given, the correct answers are b) x + 21 and e) (4,050 = x) - 201. These are the expressions that have a value of 24 when x = 18.