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The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below: 2|x − 6| + 14 = 38 What are the minimum and maximum temperatures for this day?

Respuesta :

bartdrinksmalk
[tex]2|x-6|+14=38[/tex]
[tex]\rightarrow2|x-6|=24[/tex]
[tex]\rightarrow|x-6|=12[/tex]

There are two cases:
1. [tex]x-6=12\rightarrow x=18[/tex]
2. [tex]x-6=-12\rightarrow x=-6[/tex]

So the minimum temperature is -6, and the maximum is 18.

(Minimum)
-2(x-6)=24
-2x+12=24
-2x=12
-x=6
x=-6

(Maximum)
2(x-6) = 24
2x-12=24
2x=36
x=18

Minimum= -6

Maximum= 18

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