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kumpel [21]
3 years ago
15

William began to solve an equation. Which expression below shows the next step William needs to take? WILLIAMS SOLUTION: 8xm=2.4

And 8divided by 8=? A. 2.4+8. B. 2.4-8 C. 2.4×8. D. 2.4÷8
Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0
D. 2.4 / 8

And 8 divided by 8 = 1
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D(x)=(x^2-12x+20)/(3x)
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Answers:

Vertical asymptote: x = 0

Horizontal asymptote: None

Slant asymptote: (1/3)x - 4

<u>Explanation:</u>

d(x) = \frac{x^{2}-12x+20}{3x}

      = \frac{(x-2)(x - 10)}{3x}

Discontinuities: (terms that cancel out from numerator and denominator):

Nothing cancels so there are NO discontinuities.

Vertical asymptote (denominator cannot equal zero):

3x ≠ 0  

<u>÷3</u>   <u>÷3 </u>

x ≠ 0

So asymptote is to be drawn at x = 0

Horizontal asymptote (evaluate degree of numerator and denominator):

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so there is NO horizontal asymptote but slant (oblique) must be calculated.

Slant (Oblique) Asymptote (divide numerator by denominator):

  •        <u>(1/3)x - 4    </u>
  •    3x)    x² - 12x + 20
  •             <u>x²        </u>
  •                  -12x
  •                  <u>-12x         </u>
  •                             20 (stop! because there is no "x")

So, slant asymptote is to be drawn at (1/3)x - 4



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