anonymous
  • anonymous
What are the vertical asymptotes, horizontal asymptotes, slant asymptotes, and the holes of this equation: (x^2-9x+20)/(2x^2-8x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
since the bottom and top degrees are the same; the HA is the qoutient of the top leading coefficient and the bottom leading coefficint HA = 1/2 Vas are where your bottom goes to zero; so factor it out and check for roots
amistre64
  • amistre64
a hole is where the bottom gets canceled out by a like facotr on the top, so factor your top as well
amistre64
  • amistre64
(x-5)(x-4) --------- 2x(x-4)

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myininaya
  • myininaya
horizontal asymp are the most fun
amistre64
  • amistre64
there is a hole at x=4; and a VA at x = 0
anonymous
  • anonymous
are you sure that the horizontal asymptote is 1/2 because i thought it was 2
myininaya
  • myininaya
its 1/2
amistre64
  • amistre64
im sure; if its what you wrote up top then: x^2-9x+20 1+..... ----------- = -------- = 1/2 2x^2-8x 2+.....
anonymous
  • anonymous
you take the limit as x goes to infinity
anonymous
  • anonymous
divide top and bottom by x^2 to clear things up and yeah, you end up with 1/2
myininaya
  • myininaya
since the degrees are the same you just take the coeiffient of the leading exponent term in the numerator over the coefficent of the leading exponent term in the denominator
amistre64
  • amistre64
divide everything by the highest degree variable in the bottom.... anything left stuck with an x in its bottom gets thrown in the trash
anonymous
  • anonymous
ok and what is the slant?
amistre64
  • amistre64
there is no slantl the slant is what happens the degree of the top is heavier than the degree of the bottom
myininaya
  • myininaya
(x^3+1)/(x^2+1) would have a slant since the degree of the top is one more than the degree of the bottm
anonymous
  • anonymous
the slant is when you do long division. so what is the slant?
myininaya
  • myininaya
its a line as that the curve gets closer to as x gets closer to infinity
amistre64
  • amistre64
there.....is.....NO .....slant.......to .....your.....problem.....

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