For the given function, find the vertical and horizontal asymptote(s) (if there are any).

f(x) = (x-5)/(x^2-1)

Answers

Answer 1

Answer:

See below for answers and explanations (as well as a graph attached)

Step-by-step explanation:

The function [tex]f(x)=\frac{x-5}{x^2-1}[/tex] can be written as [tex]\frac{x-5}{(x+1)(x-1)}[/tex], showing that there are 2 vertical asymptotes, which are at [tex]x=-1[/tex] and [tex]x=1[/tex] as they both make the denominator equal to 0.

Additionally, there would be a horizontal asymptote at [tex]y=0[/tex] since the degree of the numerator is less than the degree of the denominator.

See the attached graph.

For The Given Function, Find The Vertical And Horizontal Asymptote(s) (if There Are Any).f(x) = (x-5)/(x^2-1)
Answer 2
The person above me has the answer LOL

Related Questions


in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?

Answers

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

Help?!??? What is the distance!
Trig. Ch.7.1

Answers

9514 1404 393

Answer:

  100 m

Step-by-step explanation:

One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...

  A = 180° -110°20' -13°20' = 56°20'

The law of sines can be used to find the length of side AB:

  AB/sin(C) = BC/sin(A)

  AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)

  AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m

The distance AB across the river is about 100 m.

Find st to the nearest tenth please helppppp

Answers

The answer of s is 79'

Good luck :)))

please answer thank you​

Answers

Answer:

1536 m²

Step-by-step explanation:

To find the area of the lateral faces, calculate the height of a lateral face first.

The height of a lateral face = S

The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.

[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]

[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]

[tex] = \sqrt{400} [/tex]

= 20 m

Total surface area of a pyramid

= total surface area of lateral faces + base area

Area of 1 lateral face

= (base × height) ÷ 2

= (24×20)÷2

= 240 m²

Total surface area of the pyramid

= 240×4 + 24×24

= 1536 m²

Solve for X.
12x − 39 ≤ 9 AND −4x + 3 < −6
Choose 1 answer:
A. x ≥ 4
B. 9/4 < x < 4
C. x > -9/4
D. There are no solutions.
E. All values of X are solutions.

Answers

Answer: D.There is no answer.

Step-by-step explanation:


What is the measure of angle y in the figure?

Answers

Answer:

y = 27

Step-by-step explanation:

The sum of the two angles is a right angle, which is 90 degrees

y+63 = 90

y = 90-63

y =27

Answer:

The measures of angle y is 30 °.

Step-by-step explanation:

We know that, the sum of two side of right angle is 90 °.

60 ° + y = 90 °

subtract 60 ° from each side

y = 90 ° - 60

y = 30 °

Therefore, the measures of angle y is 30°.

f(-5)=
Pls help i will mark the brainliest!

Answers

Answer:

f(-5)=7

Step-by-step explanation:

Because y=f(x) so f(-5) means x=-5.

Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7

Answer:

7

Step-by-step explanation:

Go to - 5 along the x axis.

When you hit the blue, go straight across until you hit the number on the y axis.

That number is 7

Can someone please help me with question 13,14, and 15?

Answers

13)

from F to J it's 6 steps in x-direction and 3 steps in y-direction (up)

3/6 = 0.5

from J to H it's -2 steps in x-direction (to the left) and -4 steps in y-direction (down)

-4/-2 = 2

from G to H it's 6 steps in x-direction and 7 steps in y-direction (up)

7/6 = 1.1666666

14)

FG and JH are parallel

FJ and GH are parallel as well

meaning same slope

the other combinations are perpendicular (see screenshot)

15)

my brain needs rest. but just a hint: solve via pythagorean theorem, find the distance in x direction, and in y direction, then use a²=b²=c²

hope it gives you something

I’m so confused plz help

Answers

Answer:

[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]

Step-by-step explanation:

[tex]18\frac{1}{2} =\frac{37}{2}[/tex]

[tex]4\frac{1}{4} =\frac{17}{4}[/tex]

[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]

Nevaeh is going to drive from her house to City A without stopping. Let DD represent Nevaeh's distance from City A tt hours after leaving her house. The table below has select values showing the linear relationship between tt and D.D. Determine the distance from Nevaeh's house to City A, in miles.
t d
1 195
2 130
2.5 97.5

Answers

Answer:

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

play help me on this​

Answers

Answer:

8n+10

Step-by-step explanation:

gimmi brainiest answer or me no give cookie

your answer would be 8n+10 because you have to combine like terms. you would do 3n+3n+n+n which gives you the 8n and then you would do -5+-5+10+10 which gives you the 10 and when you put it all together, you get 8n+10.

ANSWER: 8n+10

what is 12 take away 1 3/5​

Answers

10 3/5

thank your guy for the pool work

Find the slope thanks

Answers

9. -4/15
10. -1/14
11. -3/4
12. -1/4
13. 11/17
14. -18/13
15. undefined
16. -30

A small engine shop receives an average of repair calls per​ hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for ​-hour ​day? What, if​ anything, did you​ assume?

Answers

Answer:

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N-instances of a normal variable:

For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]

What is the mean and standard deviation of the number of calls it receives for ​n-hour ​day?

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

Profit = Revenue - Cost: P = R - C

(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.

Answers

Answer:

(a) R = P +C

Revenue= Profit + Cost

(b) R = $6000

Step-by-step explanation:

(b) R = $4525 + $1475

        = $6000

Answer the questions about the following polynomial.

-10x +1

Answers

Answer:

Step-by-step explanation:

Given polynomial is (-10x + 1).

This polynomial has two terms.

Therefore, it's a binomial with two separate terms.

The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).

Which of the following is equal to the rational expression
below when x+2 or 9?
4(x - 2)
(x - 2)(x-9)

Answers

Answer:4/x-9

Step-by-step explanation:

six subtracted from one-half a number is 12.

Answers

Answer:

Number is 36

Step-by-step explanation:

Let the number be x

one half  of the number is  [tex]\frac{1}{2} x[/tex]

6 subtracted from one half is 12, That is,

                                                             [tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]

The number would be 36

Solve the following system of equations with the substitution method.
{x+y=25
y=4x
(x,y)=( , )

Answers

Answer:

(5,20)

Step-by-step explanation:

x+y=25

If you substitute y=4x,

x+4x=25

Now add like terms

5x=25

Divide 5

x=5

Put it back into the equation

5+y=25

Subtract 5

y=20

Answer: (5,20)

O resultado da adição algébrica (-5) + (-2 +3

Answers

Answer:

= -4

Step-by-step explanation:

(-5) + (-2 + 3) =

(-5) + (1) =

= -4

Hope this helps

2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
Q3:
Median:
IQR:
QI:
Outliers:

Answers

Answer:

51

Step-by-step explanation:

ascending order. 38,41,42,47,48,51,72,74,74,77,129. n/2= 12/2= 6 +1= 7 median 51

Select all that apply.

A spinner is divided into 4 equal sections. Which of the following are true?

The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!

Answers

the theoretical probability is 25% for each section

Answer:

(B)  If the spinner is spun 64 times, you would predict it to land on each section 16 times.

&

(D) The theoretical probability is 25% for each section.

I got this question right

A research team conducted a study showing that approximately 30% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 30 businessmen, all of whom wear ties, what are the following probabilities?

a. at least one tie is too tight
b. more than two ties are too tight
c. no tie is too tight
d. at least 18 ties are not too tight

Answers

Answer:

a) 0.9998

b) 0.9979

c) 0.7

d) 0.9155

Step-by-step explanation:

P( people who wear their ties tightly ) = 0.3

P( people who do not wear their ties tightly ) = 1 - 0.3 = 0.7

sample size ( n ) = 30

Given that the events are independent and there are only two outcomes we will apply Binomial distribution

a) P( at least one tie is too tight )

P ( x ≥ 1 ) = 1 - P ( x < 1 ) = 1 - P ( x = 0 )

       = 1 - 0.00002 = 0.9998 ( excel function: 1 - BINOMDIST(0,30,0.3,0) )

b) P( more than two ties are too tight )

P ( x > 2 ) = 1 - P ( x ≤ 2 ) = 1 - BINOMDIST(2, 30, 0.3, 1 )

                                       = 1 - 0.002113178

                                       = 0.9979

c) P ( no tie is tight )

P ( x = 0 ) = 0.7

d) P( at least 18 ties are not too tight )    i.e. ( P = 0.7 )

   P ( x ≥ 18 ) = 1 - P( x ≤  17 )

                     = 1 - BINOMDIST ( 17, 30, 0.7, 1 )

                     = 1 -  0.08447006

                    = 0.9155

There are 90 girls in fourth form 25 of whom study biology what percentage of fourth form girl study biology?

Answers

90=100%
25 divided by 90= 0.2777
Move decimal over to the right twice is 27.7%
It would be 27.7 percent

Can y’all help me on question 20?!

Answers

Answer:

yes I can help you but ???

A. 39 1/2 Meters INCORRECT!

B. 70 Meters CORRECT!

C. 39 Meters INCORRECT!

What is the slope of the line represented by the equation y =4/5x-3?
A. -3
B. - 4/5
C. 4/5
D. 3

Answers

Answer:

4/5

Step-by-step explanation:

y =4/5x-3

The equation is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 4/5

Answer:

4/5

Step-by-step explanation:

The slope will be in front of the x in slope intercept form.

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 multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.

Answers

Answer:

The exponential probability should be 33%.

Step-by-step explanation:

[tex]4 \div 12 = .33 \\ [/tex]

[tex].33 \times 100 = 33\%[/tex]

The experimental probability of rolling a multiple of 3 will be 33%.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A pair of dice was rolled many times and the results appear below. Based upon these results.

Outcome      2     3     4     5     6     7     8     9     10     11     12

Frequency    3    6     8     11     14   16    15    12     9      5      1

Then the experimental probability of rolling a multiple of 3 will be

Favorable events = 6 + 14 + 12 + 1 = 33

Total events = 100

Then the probability will be

P = (33 / 100) x 100

P = 0.33 x 100

P = 33%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

3+2×(8-5)+6

please answer if you answer I will follow if it is right ​

Answers

Answer: 3+2×(8-5)+6 =15

[tex]\sf\purple{15}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 + 2 \times (8 - 5) + 6 \\ \\ = 3 + 2 \times 3 + 6 \\ \\ = 3 + 6 + 6 \\ \\ = 15[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Solve (x + 5)∕3 = 4 for x.

Answers

4+5=9 • 3 =27/4= 6.75

Answer:

7

Step by step explanation:

1. multiply both sides by 3

          3(x+5)/3 =4 x 3

2. Simplify

   x + 5=12

3. Subtract 5 from both sides

   x+5-5=12-5

4. Simplify

  7

4. Damiel and Kianny are going to the Pizza Palace for dinner. Damiel orders 2 slices of pizza and 1 cola and has a bill that totals $12. Kianny orders 3 slices of pizza and 2 colas and has a bill that totals $19.​

Answers

Answer:

if the question is how much does the pizza and coke cost then:

1 slice of pizza is $5 and coke is $2

Step-by-step explanation:

(2×$5)+(1×$2)=$12

(3×$5)+(2×$2)=$19

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