Question

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)

Question 6 options:
1) x = -9, x = 21
2) x = -6, x = 18
3) x = 6, x = -18
4) No solution

Answer 1

dont you do -14 both sides which gets u 2[x-6]=24?

Answer 2

then 2 divided on both sides to get 12 then 2as the final anwser

Answer 3

me so confused

Answer 4

so you are saying you have |x-6|=12
and you don't know where to go from here?

Answer 5

you add for 18?

Answer 6

so its b?

Answer 7

18 will be one solution since |18-6|=|12|=12
what would be the other solution? yes -6 since |-6-6|=|-12|=12

|x-6|=12
implies you have two equations to solve
one is x-6=12 and the other is -(x-6)=12
since |x-6| can be x-6 or it could be -(x-6) (depending on what values of x we have)

also |x-6|=|-(x-6)|
this is because |-(x-6)|=|-1*(x-6)|=|-1|*|x-6|=1*|x-6|=|x-6|