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?

x = −9, x = 21
x = −6, x = 18
x = 6, x = −18
No solution

Answer 1

@Hero

Answer 2

@BrianaNicole16 begin by subtracting 14 from both sides.

Answer 3

idk how to

Answer 4

\(2|x − 6| + 14 \color{green}{- 14} = 38 \color{green}{- 14}\)

Answer 5

@BrianaNicole16 what is 14 - 14 ?

Answer 6

0 @Hero

Answer 7

So now we have
\(2|x − 6| = 38 \color{green}{- 14}\)

@BrianaNicole16, What is \(38 - 14\)?

Answer 8

24

Answer 9

@Hero

Answer 10

2|x-6|=24... now divide both sides by 2..

Answer 11

how? @LynFran

Answer 12

2|x-6|/2=24/2
the 2 will cancel frm the left side of the equation leaving

|x-6|=24/2

Answer 13

wats 24/2=?

Answer 14

12

Answer 15

so we have
|x-6|=12

Answer 16

now we need to get rid of the absolute value sign...to do that we split the equation into 2... one negative and one positive...like this..

(x-6)=12 and (x-6)= -12

Answer 17

ok what next

Answer 18

we solve each equation for x

Answer 19

ok

Answer 20

hint:add 6 to both sides of the equation

Answer 21

so we have
x-6+6=12+6 ... and x-6+6= -12+6
x=? x=?

Answer 22

for x-6+6=12+6 x is 18

Answer 23

yes and wats the other x=?

Answer 24

-6

Answer 25

correct

Answer 26

thank you so much