The minimum and maximum temperature on a cold day in Lollypop town can be modeled by #2|x-6|+14=38#. What are the minimum and maximum temperatures for this day?

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Answer 1 · 2017-10-31T23:12:56

#x=18 or x=-6#

#2|x-6|+14=38#

Subtracting 14 to both sides:

#2|x-6|=24#

Dividing by 2 both sides:

#|x-6|=12#

Now the function module must be explicated:

#x-6=12 or x-6=-12#

#x=12+ 6 or x=-12+6#

#x=18 or x=-6#