For Limit of StartFraction x squared minus 4 x minus 12 Over x minus 2 EndFraction as x approaches 2 minus =
✔ infinity
and Limit of StartFraction x squared minus 4 x minus 12 Over x minus 2 EndFraction as x approaches 2 plus=
✔ negative infinity
. These limits indicate there is an asymptote of
.
Answers
Answer:
x=2
Step-by-step explanation:
Just did the assignment
The given rational function, that is, (x² - 4 · x - 12) / (x-2), has no horizontal asymptotes but one vertical asymptotes at x = 2.
How to determine the asymptotes of a rational function
A rational function has a horizontal asymptote if and only if the limit exists for x tending to ±∞. Rational functions have a limit if and only if the grade of the denominator is equal to or greater than the grade of the numerator. A vertical asymptote exists for all values of x such that the denominator equals 0.
Based on these facts, we conclude that the given rational function has no horizontal asymptotes but one vertical asymptotes at x = 2.
To learn more on rational functions, we kindly invite to check this verified question: https://brainly.com/question/20850120
Related Questions
Solve the simultaneous equations
y = 3 – 2x
x2 + y2 = 18
Show clear algebraic working.
Answers
(
x
,
y
)
=
(
3
5
,
4
1
5
)
or
(
x
,
y
)
=
(
−
3
,
−
3
)
Explanation:
Given
[1]
XXX
y
−
2
x
=
3
[2]
XXX
x
2
+
y
2
=
18
Re-writing [1]
[3]
XXX
y
=
2
x
+
3
Substituting
(
2
x
+
3
)
from [3] for
y
in [2]
[4]
XXX
x
2
+
(
2
x
+
3
)
2
=
18
Simplifying
[5]
XXX
x
2
+
4
x
2
+
12
x
+
9
=
18
[6]
XXX
5
x
2
+
12
x
−
9
=
0
Factoring
[7]
XXX
(
5
x
−
3
)
(
x
+
3
)
=
0
⇒
x
=
3
5
or
x
=
−
3
case 1:
x
=
3
5
Substituting
3
5
for
x
in [3]
XXX
y
=
2
(
3
5
)
+
3
=
4
1
5
case 2:
x
=
−
3
Substituting
(
−
3
)
for
x
in [3]
XXX
y
=
2
(
−
3
)
+
3
=
−
3
4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?
Answers
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.
Solution:
Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.
Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³
Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³
Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:
number of cone cups = 45π in³ / π in³ = 45 cups
Hence 45 cups of the cone would be needed to fill the cylindrical bottle
Some one help will give brain
Answers
Answer:
what the link? didfbdsfaahsdfhsd
Step-by-step explanation:
A bus makes a stop at 2:30, letting off 10 people and letting on 3. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answers
on the bus
Dividing fractions
7/10 2
Answers
Answer:
yeah it's 0.35 I agree with the other guy
make k the subject of the relation ky-k=y^2
Answers
Step-by-step explanation:
ky - k = y^2
ky - k ÷ y = y^2 ÷ y
k = y
A middle school coach wrote down the time, in seconds, of her students’ 100-meter dash as shown in the table. Student Time -(seconds … ) Gary 11.9 Rick 12.3 Phillip 13.5 Jorge 12.0 Robert 12.3 Jeremy 16.0 If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the ..
Answers
Answer:
D. The mean would decrease as there is less variability in the data.
Step-by-step explanation:
So, let’s find the mean with all of those numbers. First of all we should order them from least to greatest.
11.9, 12.0, 12.3, 12.3, 13.5, 16.0
We add them all up, and get 78! Once we get this total, we must divide it by how many numbers there are! There are six numbers, so 78/6.
78/6 is equal to 13. So the mean for all those numbers is 13.
Now let’s find the mean if we cross out the greatest and least numbers, the greatest number is 16.0, and the least number Is 11.9.
So, our new data set is:
12.0, 12.3, 12.3, 13.5
Add those all up to get 50.1
Divide the total by the numbers we got left, which is 4!
50.1/4 is equal to 12.525.
So the mean of our new data set is 12.525!
So that’s how I got the answer, have a nice day! Please tell me if I’m wrong!
12.525 < 13
Question 11 of 20: Select the best answer for the question. 11.
Given gross sales of $50,000, sales returns and allowances of $6,000, beginning inventory of $4,000, net purchases of $8,000, ending inventory of $2,000, and operating expenses of $4,500, calculate net income.
A. $32.500
B. $28,550
C. $29.500
D. $30,570
Answers
Answer: $29500
Step-by-step explanation:
Given the information from the question, the net income will be calculated as:
Net sales = Gross profit - sales returns and allowances
= $50000 - $6,000
= $44000
Gross profit = Net sales - Cost of goods sold
= $44000 - $10000
= $34000
Net income = Gross profit - Operating expense
= $34000 - $4500
= $29500
How much is 331 ft in meters?
Answers
it would be 100.889, darling. hope this helps. <3
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Answers
Answer:
Interest earned = $32.835
Step-by-step explanation:
Given the following data;
Principal = $275
Number of times = 0.5
Interest rate = 2.9% = 0.029
Time = 4 years
To find the interest earned, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 275(1 + \frac{0.029}{0.5})^{0.5*4}[/tex]
[tex] A = 275(1 + 0.058)^{2}[/tex]
[tex] A = 275(1.058)^{2}[/tex]
[tex] A = 275(1.1194)[/tex]
A = $307.835
Interest earned = 307.835 - 275
Interest earned = $32.835
which number makes the statement true
12:30 = x:50
A) 30
B) 32
C) 35
D) 41
Answers
Answer:
20
None of the answers shown are correct
Step-by-step explanation:
12 : 30 = x : 50
Handle as a proportion
12/30 = x/50
multiply both sides by 50
12/30 * 50 = x
20 = x
Name the solid figure formed by the net.
1
A Cube
B Cuboid
c Cylinder
D
Cone
Answers
how much normally is retaking a high school class?
Answers
Answer:
What do you mean?
Step-by-step explanation:
Which values of a, b, and c correctly represent the answer in simplest form? 6 al- o a=1,0-5,0-9 a= 10,5= 18.0= 1 a=9,0-5,0- 1 a= 1,5= 10 0= 18
Answers
Answer:
The question is not explained well, Please explain it better or take a screenshot or something
Step-by-step explanation:
What is the volume of a cylinder with a
height of 18.5 m and a base with a
diameter of 5.2 m, to the nearest tenth of a
cubic meter?
392.9 m^3 is the real answer
Answers
Answer:
Yes it is is 392.9 m^3
Step-by-step explanation:
Volume of cylinder is π*r^2*h, π times radius squared times height.
Since the diameter is 5.2, the radius is 2.6 (half of it). 2.6^2 = 6.76, and the height is 18.5, 6.76*18.5 = 125.06. Multiply it by pi to get 392.887577258, round it to 392.9, The volume is 392.9 cubic meters.
Help please!!!!!! As soon as possible
Answers
Find the volume of the right cone shown as a decimal rounded to the nearest tenth
Answers
Answer:
375π
Step-by-step explanation:
Volume of a cone = 1/3πr²h
Radius, r = 10/2 = 5
Height, h = 45
Volume V = 1/3 * π * 5² * 45
V = π * 25 * 15
V = 375π
8y - (5y + 13 ) = -7
Answers
Answer:
y=2
Step-by-step explanation:
8y-5y-13=-7
3y-13=7
3y=-7+13
3y=6 /3
y=2
Which expression is shown on the number line?
Answers
Answer: i think its e
Step-by-step explanation:......
Answer:
no.A 5/3÷×1/3 is the answer
Josh likes to play an outdoor beanbag toss game in his spare time. On any toss, he has about a 30% chance of getting a bag into the hole. As a challenge one day, he decides to keep tossing beanbags until he makes it. Starting on line 5 of the random number table, how many times does Josh have to toss the beanbag in order to make it in the hole if we let success = 0–2 and failure = 3–9?
Answers
Answer:
B
Step-by-step explanation:
What is the value of x?
A) Impossible to determine
B)62°
C)56°
D)76°
Answers
HELP
What is the equation of the trend line in the scatter plot ?
Answers
Tessellations
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)
a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)
Please select the best answer from the choices provided
Answers
Answer:
A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)
Step-by-step explanation:
I calculated it logically
PLEASE HELP I WILL GIVE BRAINLIEST (seven grade math)
On a Saturday morning,
Meaghan measured the temperature
and found a 5 degree increase An
hour later, the temperature
increased by another degree When a rain storm came through, the temperature dropped 6 degrees. What is the difference between the
temperature in the morning and the temperature after the rainstorm?
Answers
Answer:
Step-by-step explanation:
In the morning it was six degrees because you added that one other degree. But when it started raining it dropped down 6 degrees which will make it 0
HELP ME PLEASEEEEEEEEEEEEEEEE
Answers
Answer:
52
Step-by-step explanation:
break down the shapes into simpler ones
do base X height for both
add both
Answer:
52cm^2
Step-by-step explanation:
Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2
Pls help
Zzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
d po yung answer
Step-by-step explanation:
sana makatulong
What’s the correct answer?? I will mark as brainlest
Answers
I’m so sorry if I’m wrong… I hope u have a good day
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
00
11
14
16
15 12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Enter
Answers
32. [Problem Solving 2] *
On Martha's 9th birthday, her mother
made a cake which had the digits 0 to 9
around the edge in red icing. Using the
guidelines below, her mother cut the
cake into 3 pieces so that the numbers
on each piece added to the same total.
Mark the cuts. What fraction of the
whole cake was the largest piece?
Answers
Answer:
The three pieces will have the following set of numbers
(9,6,0) (8, 4,3), (7,5, 1,2)
Step-by-step explanation:
Given,
Martha's mother has marked the cake into 10 equal pieces starting from 0 t0 9
Now, she divided the cake in a manner that sum of digits on each of the three pieces is equal
0,1,2,3,4,5,6,7,8,9
(9,6,0) (8, 4,3), (7,5, 1,2)
Hence the three pieces will have the following set of numbers
(9,6,0) (8, 4,3), (7,5, 1,2)
What shows a example of symmetry?
Answers
Answer:
symmetry is a mirror image
Step-by-step explanation:
all it really is if you were to cut it in half would one side match the other
Answer:
Square
Step-by-step explanation:
If you cut it any where it will become symmetrical