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Answer :
Final answer:
For x = -5, the expression |x| / x^2 equals 1/5, which corresponds to option D.
Explanation:
When dividing an absolute value of a number by its square, we must remember that the absolute value will always be a positive number, regardless of the original number's sign.
For the given problem, the absolute value of x divided by x squared when x = -5 is calculated as follows:
|x| / x^2 = |-5| / (-5)^2 = 5 / 25 = 1/5
So, the value of the expression for x = -5 is 1/5, which corresponds to option D.
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