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
Type the correct answer in the box. Use numerals instead of words.
Pani-rosa [81]

Answer:

Step-by-step explanation:

7- \sqrt[3]{2-x} =12

we have to just keep in mind to do the same operation to both sides of the equal sign

7-7- \sqrt[3]{2-x} =12-7 ; subtract 7 from both sides

- \sqrt[3]{2-x} = 5 ; multiply both sides by -1

\sqrt[3]{2-x} = -5 ; raise both sides to the power 3

2-x = (-5)³

2-x = -125 ; subtract 2 from both sides

-x = -125-2

-x =-127; multiply both sides by -1

x= 127

8 0
3 years ago
E = 500h + 4,000.
raketka [301]
E is a variable
500h is a term
500 is a coefficient
h is a variable
4000 is a term
4 0
3 years ago
Identify the graph as eIdentify the graph as either y = cos x  or y = sin x
serious [3.7K]
From the graph at x = 0, y = 0


Check1:
y = cosx

0 = cos(0)
0 = 1

therefore, this is not the function

Check2:
y = sinx
0 = sin(0)
0 = 0

therefore, this is the function


Conclusion:

the function in the graph is y = sinx
4 0
3 years ago
At Kirby Middle School, some students were surveyed to see which social media app they used the most. The results are shown belo
Murljashka [212]

Answer:

44%

Step-by-step explanation:

you add up all the numbers to get the total then divied the single number (eg. 8) by the total. It will then show up as a decimal so in order to get rid of the decimal you multiply by 100. ( eg. 8 ÷50=0.16 → 0.16×100= 16 → 16% )

5 0
3 years ago
Factor Completely: 10x + 15
tankabanditka [31]

Answer:

5(2x + 3)

Step-by-step explanation:

10x + 15 \\  \\  = 2 \times 5 \times x + 3 \times 5 \\ ( take \: common \: factors \: out )\\  = 5(2 \times x + 3) \\  \\  = 5(2x + 3)

3 0
2 years ago
Read 2 more answers
Other questions:
  • Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.
    12·2 answers
  • Chritine sells boxes of cookies for $4 each. Rafeal sells boxes of cookies for $7 each. Each of them sold the same dollar amount
    15·1 answer
  • Write the product in its simplest form <br> -9xy^5 • 9x^2y
    11·1 answer
  • The volume of the cube below is ß cm.
    13·1 answer
  • Tess made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the
    15·1 answer
  • Sarah paid $18,444 for a new car last week. This price was 6 percent above the vehicle’s invoice price. What was the dollar amou
    12·2 answers
  • A.SSE.A Carlos borrowed $26,000 for a car for 5 years at an APR of 5.25%. What will his monthly payment be? *
    12·1 answer
  • If r = 18 cm, what is the area of this sector? Express your answer
    8·1 answer
  • Explain why this quadrilateral is not a parallelogram.
    8·1 answer
  • Random questions
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!