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Which One Doesn't Belong? Circle

the expression that does not equal 13
when x = 3.
5x − 2
(x³ - 1) ÷ 2
5x2 – 27 +5
x + 13 - X

1 Answer

2 votes

Final answer:

To determine which expression does not equal 13 when x = 3, substitute x = 3 into each expression and evaluate the result. The expression 5x² – 27 + 5 does not equal 13 when x = 3.

Step-by-step explanation:

In order to determine which expression does not equal 13 when x = 3, we can substitute x = 3 into each expression and evaluate the result. Let's analyze each expression:

  1. 5x - 2 = 5(3) - 2 = 15 - 2 = 13
  2. (x³ - 1) ÷ 2 = (3³ - 1) ÷ 2 = (27 - 1) ÷ 2 = 26 ÷ 2 = 13
  3. 5x² – 27 + 5 = 5(3²) – 27 + 5 = 5(9) – 27 + 5 = 45 – 27 + 5 = 45 – 22 = 23
  4. x + 13 - x = 3 + 13 - 3 = 16

As we can see, all expressions except for 5x² – 27 + 5 evaluate to 13 when x = 3. Therefore, this expression does not belong.

User Sanjayr
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