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Babynini

  • one year ago

Make it continuous!

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  1. Babynini
    • one year ago
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  2. Babynini
    • one year ago
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    @Empty Hey there! are you available? :)

  3. Empty
    • one year ago
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    Heyo, alright so any ideas on how to make this continuous?

  4. Babynini
    • one year ago
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    Setting two of the equations to equal each other and then subbing a and b in

  5. Empty
    • one year ago
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    Yeah you're on the right track, what we need to do to make the function continuous is have their heights match up at the same value of x. In order to do that, we take the first equation and set it equal to the second equation and plug in x=2 since at that point they need the same height. Similarly you will make the second and third equal and plug in the x value there to make them equal. Then you have two equations and two unknowns to solve for, the values of a and b that make your function continuous!

  6. Babynini
    • one year ago
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    Yay!! So part a after plugging 2 in where x is: 4=4a-2b+3?

  7. Babynini
    • one year ago
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    The first two simplify to: 1=4a-2b

  8. Babynini
    • one year ago
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    Second two simplify to: 5a=3b+5

  9. hartnn
    • one year ago
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    when you plug in 3, 9 a - 3b + 3 = 12 -a + b 10a -4b = 9 how did you get 5a=3b+5 for second two ? 4a -2b = 1 is correct :)

  10. Babynini
    • one year ago
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    Ah sorry, I accidentally plugged 2 instead of 3 on the last two =.=

  11. hartnn
    • one year ago
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    thought so...since f(x) to be continuous at x =3, f(3)- and f(3)+ should be equal.

  12. Babynini
    • one year ago
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    Ahh, gotcha. So now I solve them for a and b?

  13. hartnn
    • one year ago
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    yup

  14. Babynini
    • one year ago
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    b= 4/5

  15. Babynini
    • one year ago
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    a = 13/20 ? o.o

  16. Babynini
    • one year ago
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    I don't know how I am getting these weird numbers :/

  17. hartnn
    • one year ago
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    how did you solve them ? because i get a different answer...

  18. hartnn
    • one year ago
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    multiply equation 1 by 2 8a -4b =2 subtract this from equation 2 10a - 4b = 9 - 8a -4b = 2 ================= 2a + 0 = 7 a =7/2

  19. Babynini
    • one year ago
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    Oh. then b = 13/2

  20. hartnn
    • one year ago
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    \(\huge \checkmark \)

  21. Babynini
    • one year ago
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    Lol. Thaaank you. Sorry about my brain deadness.

  22. hartnn
    • one year ago
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    no problem, welcome ^_^

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