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
Write a formula for the area A of a parallelogram.
OleMash [197]
To find the area of a parallelogram, multiply the base by the height. the formula is: A= Base times height where B is the base, and H is the height, and * means multiply. the base and height of a parallelogram must be perpendicular
5 0
3 years ago
A man walks at 60km/ hr. How long does he walks between 9:30 am and 12 noon​
N76 [4]

Answer:

He walks 150 km in 2.5 hours.

Step-by-step explanation:

From 9:30 a.m. to noon, it's 2.5 hours.

distance = speed * time

distance = 60 km/h * 2.5 h

distance = 150 km

Answer: He walks 150 km in 2.5 hours.

3 0
3 years ago
What is 24 percent of 289
kap26 [50]
It would be: 289*24/100 = 6936/100 = 69.36
7 0
3 years ago
What is the difference between 5 and -5
liraira [26]

Answer:

10

Step-by-step explanation:

5 - 5 = 0 You would want to subtract five from zero giving you -5.

6 0
3 years ago
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after 1 month
Slav-nsk [51]

Yes, it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

<h3>Relationship between the amount saved and the number of months</h3>

After 1 month, Jane will  saved=$35+$100

After 1 month, Jane has saved=$135

Hence,

Let x represent  the number of months

Since every month she saved $35 which inturn means that in x number of months she can save 35x. Based on this the relationship between the amount saved and the number of months  is 35x +100.

Therefore it makes sense to represent the relationship between the amount saved and the number of months with one constant rate. The relationship is 35x+ 100.

Learn more about  Relationship between the amount saved and the number of months here:brainly.com/question/13199011

#SPJ1

4 0
1 year ago
Other questions:
  • PLEASE ANSWER + BRAINLIEST!!!!
    5·1 answer
  • Jame uses the distributive property to find how many cans of paint are in the art supply closet. There are 5 boxes in the closet
    5·1 answer
  • Clara's suitcase weighs 58 1/4 pounds, but the airline's weight limit for suitcases is 50 pounds. How much weight does she need
    13·1 answer
  • 1)simplify the expression (2x)^4 2)the perimeter of a rectangular is twice the sum of its length and its width. the perimeter is
    14·1 answer
  • Please help!<br>What is the answer to this question?<br>​
    10·2 answers
  • Please help!!!!<br> I desperately need the correct answer I’ve been trying all day!
    15·2 answers
  • Create an equation for a line that contains<br> 3<br> the point (2, 2) and has slope m = 2
    12·1 answer
  • Which number line shows the solutions to x&lt;5?
    7·1 answer
  • Can sum one help me w those 2 questions? I needa turn dis assignment ASAP. Thank you !
    12·1 answer
  • Help plz giving out brianlest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!