Mathematics College

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

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer: 14.4

Step-by-step explanation:

A ladder 18 ft long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π 3 ?

Answers

Answer: [tex]9\ ft/rad[/tex]

Step-by-step explanation:

Given

Length of the ladder is [tex]l=18\ ft[/tex]

Angle between the wall and the ladder is [tex]\theta[/tex]

from the figure, we can write

[tex]\Rightarrow \sin \theta=\dfrac{x}{18}\\\\\Rightarrow x=18\sin \theta[/tex]

Differentiate the above equation w.r.t [tex]\theta[/tex]

[tex]\Rightarrow \dfrac{dx}{d\theta}=18\cos \theta\\\\\text{at }\theta=\dfrac{\pi }{3}\\\\\Rightarrow \dfrac{dx}{d\theta}=18\cos(\dfrac{\pi}{3})\\\\\Rightarrow \dfrac{dx}{d\theta}=18\times 0.5\\\\\Rightarrow \dfrac{dx}{d\theta}=9\ ft/rad[/tex]

What is the volume of this figure?

Answers

Answer:

[tex]volume = 4 \times 4 \times 4 \\ = {4}^{3} \\ = 64 \: cubic \: ft[/tex]

LCM of the given set of counting numbers 45,20,10

Answers

the lcm for 45, 20 and 10 would be 180
The LCM of the digits is 180.

Granite has a specific heat of 800 J/g oC. What mass of granite is needed to store 150,000 J of heat if the temperature of the granite changes from 80 oC to 95 oC? (12.5 g)

Answers

Answer:

12.5g

Step-by-step explanation:

Given data

Shc= 800 J/g oC

Q=150000J

T1= 80

T2= 95

Q=mc(T2-T1)

150000= m*800(95-80)

150000= m*800*15

150000= 12000m

m= 150000/12000

m= 12.5g

What is the scale factor from Figure A to Figure B? (Please help)

Answers

Answer:

3

Step-by-step explanation:

You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3

This should be right I’m sorry if it’s not

m: 4,y-intercept: -3

Answers

Answer:

気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。

Step-by-step explanation:

気わぴてぽ場来委ノヤセケ営非イソ坊管るゅぐ始属度ナ作78円レ話1既オ穫橋サエノス高境ド紀健ヨ出球用知ドルぐし。一ぞレゃ者5縮に策初ホムユス就張ヘ例芸んばれ予定ウホ所物メヤマ布事3者フリ京著ユ月遠ぐ円晶郊せはル。案馬がみわ員連じへい液済そ伝深優アネソ問合都フび渡格ンにづだ人配7初クエ縮杉ラマハ干照く漁更保間す辞表メフナヒ辞発だょより軍綱てかで線説般郎彩そン。

y=4x–3

y-y1=m(x-x1)

y+3=4(x-0)

y+3=4x-0

y+3=4x

y=4x-3

kelly wants to make a box in the shape of a cube.How many pieces of wood does she need? In what shape should she cut them?

Answers

she will need 6 pieces and they must all be equal square shapes

Which expression represents the probability of choosing an item from the intersection of A and B

Answers

OPTION A is the correct answer

The intersection of event A and B is given by P( A∩B) , Option A is the correct answer.

What is Probability ?

Probability is the likeliness of an event to happen.

It is given that the Probability of two independent event A and B is given by

P(A)  and P(B)

The intersection of event A and B is given by

P( A∩B)

Therefore Option A is the correct answer.

To know more about Probability

https://brainly.com/question/12431044

#SPJ2

Three boards are placed end to end to make a walkway. The first board is 4 feet 5 inches long, the second board is 6 feet 9 inches long,and the third board is 3 feet 11 inches long. How long is the walkway?

Answers

Answer:

15 feet and 1 inch long

Step-by-step explanation:

add up the feet: 4+6+3= 13 feet

add up the inches: 5+9+11 = 25 inches

25/12= 2 feet 1 inch

13 feet + 2 feet + 1 inch= 15 feet 1 inch

Help me with this really fast

Answers

Answer:

quadratic trinomial ..........................

Evaluate the function.
f(x) = -x2 + 6x + 4
Find f(-7)

PLSS HELP TODAY IS THE LAST DAY

Answers

Answer:

-87

Step-by-step explanation:

-(-7^2) + 6(-7) + 4

-49 -42 + 4

-87

Answer:

f(-7) = -3

Step-by-step explanation:

The exponentiation x^2 must be done before multiplication by the coefficient -1.  

Substituting -7 for x, we get:

-(-7)^2 +  6(-7) + 4 = f(-7)

Then f(-7) = -49 + 42 + 4, or

f(-7) = -3

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.

Determine which statements about the relationship are true. Choose two options.

g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The two variables cannot be labeled as independent or dependent without a table of values.

Answers

Answer: u is the dependent variable

g is the independent variable

Step-by-step explanation:

Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :

u is the dependent variableg is the independent variable

What are the  independent variables and  dependent variable?

An independent variable serves as the  variable that one can manipulate then  control,  an experimental so one can actually record the effects.

Independent variable on the other hand serves as the cause which have an independent values compare to others.

Learn more about variable at:https://brainly.com/question/3764906

#SPJ9

1. For each of 200 randomly selected cities, Gary recorded the number of churches
in the city (x) and the number of homicides in the past decade (y). He calculated
the linear correlation coefficient and was surprised to find a strong positive linear
correlation for the two variables. Does this suggest that building new churches
causes an increase in the number of homicides? Why do you think that a strong
positive linear correlation coefficient was obtained? Explain your answer with
reference to the term lurking variable.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.

the sumof 8pq and -17 pq is​

Answers

Answer:

= -9pq

Step-by-step explanation:

=8pq + (-17pq)

=8pq-17pq

= -9pq

Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
What is the value of m when g (m) = 5 ?


Answers

Answer:

m =7.

Step-by-step explanation:

Let the constant number = k.

g(m) = k/m,

3.5 = k/10,

k = 35.

Thus, when g(m) = 5 = 35/m, m = 7.

If x = 3k + 2 and y = k - 2 is a solution of linear equation 5x - 3y = 4 , then the value of k
pls can say the answer fast

Answers

Replace the given value of x and y in this given equation ~ 5x-3y=4

5(3k+2)-3(k-2)=4

15k+10-3k+6=4

12k+16=4

12k=4-16

K=-12/12

K= -1

What is the slope of the line below

Answers

Answer:

D. 1/2

Step-by-step explanation:

Step-by-step explanation:

The answer is 1/2. As the slop means gradient. so Gradient = change in Y / change in X .

Paul bakes raisin bars in a pan shaped like a rectangular prism. The volume of the pan is 480 cubic inches. The
HURRY PLEASE

length of the pan is
12 inches, and its width is 10 inches
V = 480 in^3
h = ?
12 in
10 in
What is the height of the pan?
Enter your answer in the box
in inches

Answers

Answer:

The height of the pan is 4 in.

Step-by-step explanation:

On a piece of paper, graph f(x)=16x0.5^x. Then determine which answer choice matches the graph you drew.

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

You can use x=0 and x=1 to find points that must be on the graph.

  f(0) = 16·0.5^0 = 16

  f(1) = 16·0.5^1 = 8

Only graph A matches these points.

calculate the following range of scores for a continuous variable: 9,8,7,6,5,4,3,2. Use upper and lower real limits to calculate your answer.

Answers

Answer:

7

Step-by-step explanation:

Given the data :

9,8,7,6,5,4,3,2

Ordering the data from least to highest :

2, 3, 4, 5, 6, 7, 8, 9

The range of a dataset is given by :

Maximum - Minimum

Maximum value = 9

Minimum value = 2

Range of data:

9 - 2 = 7

Range = 7

please help quick pleaseeee

Answers

Answer:

17

Step-by-step explanation:

Answer:

bru

Step-by-step explanation:

Plz send the Venn diagram of this...

Answers

Answer:

Step-by-step explanation:

sorry im not sure

Madelyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 518 glasses. There are currently 314 glasses. If each set on sale contains 8 glasses, which inequality can be used to determine s, the minimum number of sets of glasses Madelyn should buy? Submit Answer 518 < 8(314 + 8) O 518 > 8(314+ s) O 314 +8s < 518 314 +8s > 518​

Answers

Answer:

(D)

314 + 8s >= 518

Step-by-step explanation:

Answer: 314 + 8s ≥ 518

Find the perimeter of a rectangular strip of board is 3.28m long and 7.5m

Answers

Answer:

21.56 m

Step-by-step explanation:

2(3.28) + 2(7.5)

(twos represent the sides)

6.56 + 15

= 21.56 m

Factorize (2ax-2ay-3by+3bx)​

Answers

Answer:

That's the answer I searched for and I hope it can help.

#Carryonlearning

Please make me brainliest!

hope this helps! factorise out the common factor first! feel free to clarify ya!

Andy is comparing how long two tablets can be used after being fully charged.
-
Tablet A Tablet B
(minutes) (minutes)
540
593
Mean
Median
580
589
NOR
21
13
MAD
6
2

Answers

Answer:

Part A: On average Tablet B's battery will last longer.

Part B: The MAD is lower in tablet B's battery life so Tablet B is more consistent.

Step-by-step explanation:

Plz help i need a correct answer asap

Answers

A is

[tex] | - 9| + |9| [/tex]

absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)

B ist just 18

4. Find the circumference of the circle. Use 3.14 for the value of x. Round your answer to the nearest tenth.
20 in

Answers

Answer:

18.2cm

thank you

i think

Answer:18.2cm
(don’t mind me just trying to get my points up)

PLEASE HELP ME!!!!

QUESTION WILL BE WORTH 10 POINTS!!!

I WILL MARK BRAINLIEST!!!!

Please answer the 3 questions on the picture.

I would appreciate it so much.

Answers

Answer:

lol i dont know but yo dog smell like evolution and natural selection?

Step-by-step explanation:

Answer:

11.) 180-38=142 12.)24.5 13.)im not sure but want to say 10

Step-by-step explanation:

Other Questions
A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?21 cm42 cm72 cm108 cm Parents should be given fair chances to speak, during interviews by the educators can someone answer pls?? Suppose that the demand for picture frames is highly inelastic, and the supply of picture frames is highly elastic. A tax of $1 per frame levied on picture frames will increase the price paid by buyers of picture frames by a. $0.50. b. between $0.50 and $1. c. $1. d. less than $0.50. PLZZ HELP ASAP AND SHOW WORK PLZ Solve the equation for a.K = 4a + 9aba = K(4 + 9b)a = 4(K + 9b)a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h. Which of the following describes the motion of water molecules in ice? A. They do not move at all.B. They are vibrating slightly.C. They move the same as in a liquid.D. They move faster than in a liquid. Question 3 of 10Isaac is experiencing confusion, problems with coordination, and slowedbreathing. He is showing a lack of good judgment. He has also beenstruggling with memory loss and fatigue. What drug is Isaac most likelyabusing?A. DepressantsB. StimulantsC. SteroidsD. Marijuana cm n gl mt. qsnfwrmcou The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63 43.How far Where is the park bench from the building? round to the nearest whole number Why do historians construct historical narratives to communicate ideas aboutthe past to others?A. Narratives organize historical information into a format thatengages an audience.B. Narratives help historians translate documents in foreignlanguages.c. Narratives allow historians to make a point about the past withoutciting sourcesD. Narratives help transform historical documents into oral histories. which of the following is not made up of atoms answers choices A heat b tree c balloon which of the following best describes the slope of the line below? pls help asap Analyze the diagram below and complete the instructions that follow. find tan The diameter of a circle is 15 in. Find its circumference in terms of \pi LA=Round your answer to the nearest hundredth.7A?8B What is the solution to this equation? X/4 =-12A. x = 48B. X= -3C. x = -48D. X= 3 find measure of indicated arc please! Make Inferences Based on the cartoon, what course of action do you think thecartoonist would favor? En la oracin "estudia para tu prueba" en que modo encuentra? de gerundio, participio o en infinitivo