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

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Answer 1 · 2017-10-31T23:12:56

$x = 18 or x = - 6$ $x=18 or x=-6$

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

Subtracting 14 to both sides:

$2 | x - 6 | = 24$ $2|x-6|=24$

Dividing by 2 both sides:

$| x - 6 | = 12$ $|x-6|=12$

Now the function module must be explicated:

$x - 6 = 12 or x - 6 = - 12$ $x-6=12 or x-6=-12$

$x = 12 + 6 or x = - 12 + 6$ $x=12+ 6 or x=-12+6$

$x = 18 or x = - 6$ $x=18 or x=-6$

The minimum and maximum temperature on a cold day in Lollypop town can be modeled by 2|x−6|+14=382|x-6|+14=38. What are the minimum and maximum temperatures for this day?