anonymous
  • anonymous
determine...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1352440875600:dw|
anonymous
  • anonymous
***Please show work! :) thanks :)
jim_thompson5910
  • jim_thompson5910
vertical asymptote: set the denominator equal to zero and solve for x

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anonymous
  • anonymous
so x=-4 ?
jim_thompson5910
  • jim_thompson5910
yes, that's the vertical asymptote
anonymous
  • anonymous
so how do i write it out?? VERTICAL ASYMPTOTE: x+4=0 -4 -4 x=-4 thats the equation of the VERTICAL asymptote?
jim_thompson5910
  • jim_thompson5910
now long divide 3x^2 - 12 into x - 4
anonymous
  • anonymous
is that how i write it out with the work?
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
okay, so are there any oblique, horizontal or etc. asypmtotes?
jim_thompson5910
  • jim_thompson5910
the degrees of the numerator and denominator are different (and the numerator degree is larger), so we have an oblique asymptote
anonymous
  • anonymous
kk how do i find that?
jim_thompson5910
  • jim_thompson5910
long divide 3x^2 - 12 into x-4
anonymous
  • anonymous
|dw:1352441492481:dw|
anonymous
  • anonymous
|dw:1352441542380:dw| is that right??
jim_thompson5910
  • jim_thompson5910
good only focus on the quotient
jim_thompson5910
  • jim_thompson5910
so the oblique asymptote is y = 3x+12
anonymous
  • anonymous
oh so i just show the work i got above (disregarding the remainder) and my answer is y=3x+12 ?
jim_thompson5910
  • jim_thompson5910
yep
anonymous
  • anonymous
oh wait, why is it divided by x-4?
anonymous
  • anonymous
and not x+4?
jim_thompson5910
  • jim_thompson5910
hmm i for some reason thought it was x-4, my bad
anonymous
  • anonymous
so its x+4 ?
jim_thompson5910
  • jim_thompson5910
yeah sry
anonymous
  • anonymous
okay so i get this?|dw:1352442040613:dw|
anonymous
  • anonymous
so my answer is y=3x-12?
jim_thompson5910
  • jim_thompson5910
you got it
anonymous
  • anonymous
yayy!! and are there only those two equations?? the vertical and oblique ashymptopes? or are there more?
jim_thompson5910
  • jim_thompson5910
nope that's it
anonymous
  • anonymous
okay and vertical is x=-4 and oblique is y=3x-12 right?
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
yay! thanks :)

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