Math

QuestionCalculate 2y5|2y-5| when y=5y = 5.

Studdy Solution

STEP 1

Assumptions1. The expression to evaluate is y5|y-5| . The value of yy is given as 55

STEP 2

We need to substitute the given value of yy into the expression.2y5=255|2y-5| = |2 \cdot5 -5|

STEP 3

Now, perform the multiplication and subtraction inside the absolute value.
255=105|2 \cdot5 -5| = |10 -5|

STEP 4

Perform the subtraction operation.
10=|10 -| = ||

STEP 5

The absolute value of a number is its distance from zero on the number line, which is always positive or zero. So, the absolute value of5 is5.
5=5|5| =5So, the expression 2y5|2y-5| evaluates to 55 when y=5y =5.

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