Babynini
  • Babynini
Make it continuous!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Babynini
  • Babynini
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Babynini
  • Babynini
@Empty Hey there! are you available? :)
Empty
  • Empty
Heyo, alright so any ideas on how to make this continuous?

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More answers

Babynini
  • Babynini
Setting two of the equations to equal each other and then subbing a and b in
Empty
  • Empty
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!
Babynini
  • Babynini
Yay!! So part a after plugging 2 in where x is: 4=4a-2b+3?
Babynini
  • Babynini
The first two simplify to: 1=4a-2b
Babynini
  • Babynini
Second two simplify to: 5a=3b+5
hartnn
  • hartnn
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 :)
Babynini
  • Babynini
Ah sorry, I accidentally plugged 2 instead of 3 on the last two =.=
hartnn
  • hartnn
thought so...since f(x) to be continuous at x =3, f(3)- and f(3)+ should be equal.
Babynini
  • Babynini
Ahh, gotcha. So now I solve them for a and b?
hartnn
  • hartnn
yup
Babynini
  • Babynini
b= 4/5
Babynini
  • Babynini
a = 13/20 ? o.o
Babynini
  • Babynini
I don't know how I am getting these weird numbers :/
hartnn
  • hartnn
how did you solve them ? because i get a different answer...
hartnn
  • hartnn
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
Babynini
  • Babynini
Oh. then b = 13/2
hartnn
  • hartnn
\(\huge \checkmark \)
Babynini
  • Babynini
Lol. Thaaank you. Sorry about my brain deadness.
hartnn
  • hartnn
no problem, welcome ^_^

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