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
11111nata11111 [884]
3 years ago
8

Find the vertical and horizontal asympotote for (×-2) (×+3)/ (2×+2)

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

\bf \cfrac{(x-2)(x+3)}{2x+2}\implies \cfrac{x^2+x-6}{2x+2}~~ \begin{array}{llll} \leftarrow \textit{2nd degree polynomial}\\ \leftarrow \textit{1st degree polynomial} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{vertical asymptote}}{2x+2=0}\implies 2x=-2\implies x=-\cfrac{2}{2}\implies x=-1


when the degree of the numerator is greater than the denominator's, then it has no horizontal asymptotes.


quick note:

when the degree of the numerator is 1 higher than the degree of the denominator, then it has an slant-asymptote, so this one has a slant-asymptote.

You might be interested in
Define a function. Describe what the vertical line test is used for. Describe a real life situation that can be represented by a
Marrrta [24]
A function is a relationship with a quantity (number). For example, if you made a table, and had one side be 1 2 3 4 5 (X axis) and then the y axis (other side) be 5, 10, 15, 20, 25, the function (rule) would be y= x5. The vertical line test is used to see if a graph has a function or not, so if it creates a vertical line on a graph, it has a function.
A real life situation would be miles per hour, so, for the x axis (hours) it said 1, and for the y axis (miles) it would be 60, this means in a duration of 1 hour you went 60 miles. Well, lets say you went 2 hours driving, the miles would be 120. 
For 3 hours, it would be 180. The function here is y= x60!
If you have any questions ask me!
4 0
4 years ago
Find area of a rectangle with vertices -9,3 -9,-7 -6,-7 and -6,-3
VikaD [51]
4 times 3 equals 12.
3 0
4 years ago
A circle has a diameter of 46 cm. What is its radius?
Margaret [11]

Answer:

Step-by-step explanation:

radius = diameter/2 = 46cm/2 = 23 cm

4 0
3 years ago
Your waiter at a restaurant suggests you leave a tip of $10 on a $50 bill. What percentage is that?
Bezzdna [24]

Answer:

20%

Step-by-step explanation:

To find what percentage is $10 out of $50, we divide 10 by 50:

\frac{10}{50}=0.2

If we want to get the result in percentage form, we simply multiply it by 100%:

0.2\cdot 100\%=20\%

So a tip of $10 on a $50 bill is a tip of 20%.

6 0
3 years ago
Which expression is equivalent to 5y+2y+6x+2y-x
____ [38]
♡Okie Dokie let's simplify Step-By-Step!<span>♡</span>
♡<span>Here is the question you asked us:
</span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>−<span>x
</span><span><span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>+</span>−<span>x

</span></span>♡<span>Combine Like Terms:
</span><span><span><span>5y+2y</span>+6x</span>+2y</span>+<span>−x
</span><span>(<span>6x+−x</span>)</span>+<span>(<span><span>5y+2y</span>+2y</span><span>)
</span></span>
♡Your final answer is:
<span>5x</span>+<span>9y</span>

♡I hope this helps!♡
4 0
3 years ago
Read 2 more answers
Other questions:
  • Caden owns a popular retail website. The initial number of transactions that took place in the first hour of day is 10 and the n
    11·2 answers
  • Mary travelled y meters from point A to point B at an average speed of 4 m/s. She continued
    10·1 answer
  • Why do the functions f(x) = sin−1(x) and g(x) = cos−1(x) have different ranges?
    8·1 answer
  • If 60% of the students prefer waffles to pancakes. If there are 5 students in the class how many students prefer waffles
    10·1 answer
  • Need help not good with geometry
    13·2 answers
  • By visual inspection, determine the best-fitting regression model for the
    15·1 answer
  • 20POINTS! Determine if two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WH
    9·2 answers
  • If a = t and b=2 then find the value of - 2ab and - 3a+b
    6·1 answer
  • MP is the angle bisector of LMN. Given that LMP is a right angle.
    9·1 answer
  • What is 1/300000 as a decimal?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!