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

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  1. anonymous
    • one year ago
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    @Hero

  2. Hero
    • one year ago
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    @BrianaNicole16 begin by subtracting 14 from both sides.

  3. anonymous
    • one year ago
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    idk how to

  4. Hero
    • one year ago
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    \(2|x − 6| + 14 \color{green}{- 14} = 38 \color{green}{- 14}\)

  5. Hero
    • one year ago
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    @BrianaNicole16 what is 14 - 14 ?

  6. anonymous
    • one year ago
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    0 @Hero

  7. Hero
    • one year ago
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    So now we have \(2|x − 6| = 38 \color{green}{- 14}\) @BrianaNicole16, What is \(38 - 14\)?

  8. anonymous
    • one year ago
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    24

  9. anonymous
    • one year ago
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    @Hero

  10. LynFran
    • one year ago
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    2|x-6|=24... now divide both sides by 2..

  11. anonymous
    • one year ago
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    how? @LynFran

  12. LynFran
    • one year ago
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    2|x-6|/2=24/2 the 2 will cancel frm the left side of the equation leaving |x-6|=24/2

  13. LynFran
    • one year ago
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    wats 24/2=?

  14. anonymous
    • one year ago
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    12

  15. LynFran
    • one year ago
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    so we have |x-6|=12

  16. LynFran
    • one year ago
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    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

  17. anonymous
    • one year ago
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    ok what next

  18. LynFran
    • one year ago
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    we solve each equation for x

  19. anonymous
    • one year ago
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    ok

  20. LynFran
    • one year ago
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    hint:add 6 to both sides of the equation

  21. LynFran
    • one year ago
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    so we have x-6+6=12+6 ... and x-6+6= -12+6 x=? x=?

  22. anonymous
    • one year ago
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    for x-6+6=12+6 x is 18

  23. LynFran
    • one year ago
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    yes and wats the other x=?

  24. anonymous
    • one year ago
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    -6

  25. LynFran
    • one year ago
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    correct

  26. anonymous
    • one year ago
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    thank you so much

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