contestada

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

A:x= -9,x=21
B:X= -6,X=18
C:X=6,X= -18
D:no solution

Respuesta :

The answer is B. First you isolate the absolute value then you find the 2 states that the absolute value can represent, which are 'x-6' and '-x+6'. You then replace the absolute value with both of these (one at a time) and solve for x.
mjdartpage

The correct answer is B.

2|x-6|+14=38

\rightarrow2|x-6|=24

\rightarrow|x-6|=12


There are two cases:

1. x-6=12\rightarrow x=18

2. x-6=-12\rightarrow x=-6


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


Hope this helped! :)



^-^