## anonymous one year ago 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? (2 points) x = −9, x = 21 x = −6, x = 18 x = 6, x = −18 No solution

1. Vocaloid

start by subtracting 14 from each side

2. anonymous

|dw:1443581273172:dw|

3. anonymous

$2|x-6|+14=38$ $2|x-6|+14-14=38-14$ $2|x-6|=24$

4. anonymous

now divide both sides by 2.

5. anonymous

I got 1 and 19

6. anonymous

|dw:1443582480844:dw|

7. anonymous

|x-6|=12

8. anonymous

and since this is a modulus sign, $|x-6|=12$ implies, $x=\pm12+6$

9. anonymous

@hallway

10. anonymous

so x=+12+6 and x=-12+6 hence our solutions are x=18, x=-6