Question

Select each expression that has a value of 36 when x = 12.

A. 4,320 ÷ x
B. 288x+16
C. (x2 ÷ 18) + 28
D. (1,752 ÷ x) – 110
E. x12+36

Answer 1

the answer would be a, and b

Answer 2

When x = 12, the expressions that equal 36 are (x^2 ÷ 18) + 28 and (1,752 ÷ x) - 110, which correspond to options C and D.

We will evaluate each expression to see which one has a value of 36 when x = 12.

1. 4,320 ÷ x: When x is 12, the expression becomes 4,320 ÷ 12 = 360. So this does not equal 36.
2. 288x + 16: For x equal to 12, the expression is 288 × 12 + 16 = 3,456 + 16 = 3,472. This also does not equal 36.
3. (x2 ÷ 18) + 28: Plugging x as 12, we have (122 ÷ 18) + 28 = (144 ÷ 18) + 28 = 8 + 28 = 36. This expression does equal 36.
4. (1,752 ÷ x) – 110: With x as 12, the expression is (1,752 ÷ 12) - 110 = 146 - 110 = 36. Hence, this also equals 36.
5. x12 + 36: This expression is not valid as x12 denotes x raised to the power of 12 which is a very large number when x = 12 and adding 36 to it won't make it equal to 36.

The expressions that equal 36 when x is 12 are C and D, which are (x2 ÷ 18) + 28 and (1,752 ÷ x) - 110 respectively.