1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blondinia [14]
3 years ago
11

D(x)=(x^2-12x+20)/(3x)

Mathematics
1 answer:
krok68 [10]3 years ago
6 0

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):

degree of numerator (2) > degree of denominator (1)

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



You might be interested in
HELP PLEASEE FOR HW!!!
saveliy_v [14]
200+15x=320

and then the actual answer to the question is 8 lawns.
3 0
3 years ago
Read 2 more answers
The cost of a ticket to the soccer game is 6$. There are y Number of people in a group that want to go to the game. Which of the
erastovalidia [21]
If each ticket cost six dollars and there is y amount of people it would be six for every person.
your answer would be  (C)6y
8 0
3 years ago
Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups​
ivann1987 [24]

Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

3 0
3 years ago
Hannah has 36 space rocks total. How many more purple rocks Does Hannah have been blue rocks?
-BARSIC- [3]

Answer:

12 purple rocks

24 blue rocks

Step-by-step explanation:

<u>2/3 blue</u>

<u>1/3 purple</u>

36/3 = 12

6 0
3 years ago
The force of gravity, F, exerted between two objects is equal to the product of the gravitational constant, G, the mass of the f
NeTakaya
The force of gravity is when the distance between two objects is d is:

F=(G*m1*m2)/d^2
7 0
3 years ago
Other questions:
  • Find the solution of the differential equation that satisfies the given initial condition. (du)/(dt) = (2t + sec^2 t)/(2u), u(0)
    5·1 answer
  • Can someone explain the Pythagorean theorem to me, please?
    8·1 answer
  • UPS charges 7$ for the first pound, and $0.20 for each additional pound.FedEx charges 5$ for the first pound and $0.30 for each
    6·1 answer
  • If X = 3 inches, Y = 11 inches, W = 5 inches, and Z = 5 inches, what is the area of the object?
    11·1 answer
  • Enter the degree of the polynomial below.
    14·1 answer
  • Once inch is equal to about 2.54 how many centimeters are in 32 inche
    5·1 answer
  • How donyou solve .345-2.34?
    12·2 answers
  • Please help me I need it it is my last question
    7·2 answers
  • 380% of what is 99? (Round to the nearest whole number)
    5·2 answers
  • This is quadratic equations <br> Help asap!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!