Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible:

Vertical asymptotes x = -4, x = 5;

x-intercept (-2, 0)

Answers

Answer 1

Answer:

[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]

Step-by-step explanation:

Since the roots are -4 and 5, we can write that as

[tex](x + 4)(x - 5)[/tex]

Apply foil method to find our denominator.

We get

[tex] {x}^{2} - x - 20[/tex]

So that our denominator.

Since our denomiater gives us interger asymptote, our degree in our numerator must be 1 so the answer has to be a single interger or a single term.

Since our x intercepts is -2, we use

[tex](x + 2)[/tex]

So our rational denomiater is

[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]


Related Questions

Alana listed the lowest temperatures recorded in some states
State
Lowest temperature recorded (°F)

-80 Alaska
0 Florida
12 Hawaii
-34 New Jersey
-34 North Carolina

Alana wrote inequalities to compare the temperatures.
Choose all of the correct
inequalities that Alana wrote.

A 12 > 0
B. 0> -34
C. 12<-34
D. -80 < 12
E-34 <-80

Answers

The correct inequalities that alana wrote is

B) 0> -34

D) -80< 12

i need help with this and pleases explain this its due today

Answers

Answer:

1. x= 20/3 or 6.6666 repeating

2. x=3

3. a=39

Step-by-step explanation:

1. subtract 25 by 5 to get 20, then divide 20 by 3 to get x

2. divide 7 by 21 to get x

3. add 8 to 31 to get a equals 39

Answer:

x = 6.6 repeating 7

Step-by-step explanation:

subtract 5 on both sides

ur left with 3x = 20

divide by 3 on both sides

On Tuesday, there were 400 customers at a movie theater, and each customer paid $8 for a ticket. On Wednesday, the owner of the movie theater reduced the regular ticket price from $8 to $6 for tickets that were purchased before 6 p.m. If the daily ticket sales for the two days were the same, and 100 people paid $8 for a ticket on Wednesday, how many people paid $6 for a ticket on Wednesday?

Answers

Answer:

400

Step-by-step explanation:

6x + 800 = 3200

6x = 3200 - 800

6x = 2400

    = 2400 / 6

x   = 400

Hope this answer helps you :)

Have a great day

Mark brainliest

The number of people who paid $6 for a ticket on Wednesday are 300.

What is subtraction?

The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.

According to the given question.

Number of tickets sales for Wednesday = 400

Also, on Wednesday number of people who paid $8 for tickets = 100

Therefor,

The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8

[tex]= 400 - 100\\= 300[/tex]

Hence, the number of people who paid $6 for a ticket on Wednesday are 300.

Find out more information about subtraction here:

https://brainly.com/question/13619104

#SPJ2

Use your calculator to find the trigonometric ratio sin 79°

Answers

Answer:

0.982

Step-by-step explanation:

Use your calculator to find the trigonometric ratio sin 79°

Answer: 0.982

Look at this shape: which image shows a rotation? I DO NOT WANT A LINK I WANT A REAL ANSWER!!!!!!!

Answers

Answer:

I think it's A. I'm not 100% sure but I'm pretty sure

PLS HELP ME I BEG ANYONE!!!
i and c CAN BE SKIPPED!!!
E means explanation ALL I NEED IS the answer and the explanation :(!!!

Answers

Answer:

siri answered 6 more questions

Step-by-step explanation:

alexa answered 12 questions

siri answered 18 questions

20% of 60 = 12

30% of 60 = 18

Mathematics Mathematics, 29.12.2020 18:30, lame3245 a grandfather is nine times older than his granddaughter. In 8 years the grandfather will be five times older than his granddaughter how old is each of them now?

Answers

Answer:

Granddaughter = 8

Grandfather = 72

Step-by-step explanation:

Let :

Granddaughter's age = x

Grandfather's age = y

y = 9x

Age in 8 years :

Granddaughter's age = x + 8

Grandfather's age :

y + 8 = 5(x + 8)

y = 9x

Then ;

9x + 8 = 5(x + 8)

9x + 8 = 5x + 40

9x - 5x = 40 - 8

4x = 32

x = 32 / 4

x = 8

y = 9x = 9*8 = 72

plot the point P(-6,2) and fron it draw PM and PN perpendiculars to x-axis and y-axis​

Answers

Answer:

image

Step-by-step explanation:

Function A and Function B given below are linear functions, which statement is
true?

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Slope Formula: Y2 - Y1/ X2 - X1

Function A: 15 + 25/ 4 + 4 = 5; Slope = 5

Function B: 4 - 2/ 3-2 = 2; Slope = 2

The slope of Function A is greater than the slope of Function B.

(3,5) and (9,10) find the slope that passes through the given points

Answers

Answer:

5/6

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (10 - 5)/(9 - 3) = 5/6

Answer: 5/6

Answer:

Hi! The answer to your question is [tex]m=5/6[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)

Answers

Answer:

h = 4.22 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pie * r^2 * h

We have it that the radius is 6 cm

V = pie * 6^2 * h

for the sphere, we have it that;

V = 4/3 * pie * r^3

V = 4/3 * pie * 4.5^3

We can proceed to equate both volumes;

pie * 6^2 * h = 5/3 * pie * 4.5^3

pie on both sides cancel out

6^2h = 5/3 * 4.5^3

36h = 151.875

h = 151.875/36

h = 4.22 cm

2. What is the value of win this equation?
5w+ 3 = 9

Answers

Answer:

w = 1.2 or 6/5

Step-by-step explanation:

math

Plzzzzz help i'm in desprate need of help with this

Answers

Answer:

Obtuse

Step-by-step explanation:

Right = has angle measure of 90°

Acute = has angle measure less than 90°

Equilateral = 2 or more angles whose angle measures are congruent to others

Circle = measures 360°

Obtuse = Angle measure greater than 90° and less than 180°

Hope this helps!

A store pays $871 for gymnastics mat. The store marks up the price by 40%. What is the amount of the mark-up?

Answers

Answer:          

$348.40 would be the 40% mark up price

There are 11 shirts to select from in a store.

How many ways can 5 different shirts be selected?

PLEASE HELP

Answers

Given:

Total number of shirts to select from in a store = 11

To find:

How many ways can 5 different shirts be selected?

Solution:

Number of to select r items from n items is:

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Total number of ways to select 5 different shirts from 11 shirts is:

[tex]^{11}C_5=\dfrac{11!}{5!(11-5)!}[/tex]

[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}[/tex]

[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7}{5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{11}C_5=462[/tex]

Therefore, there are 462 ways to select 5 different shirts.

Solve the following inequality.
- 1/2p<-16
Which graph shows the correct solution?
+
27 28 29 30 31 32 33 34 35 36 37
27 28 29 30 31 32 33 34 35 36 37
3 4 5 6 7 8 9 10 11 12 13
3 4 5 6 7 8 9 10 11 12 13 PLEASE HELP

Answers

Answer:

p<32

Step-by-step explanation:

[tex] \rm \rightharpoonup \: \frac{ - 1}{2}p < - 16 \\ \rm \rightharpoonup \: p < - 16 \times - 2 \\ \rm \rightharpoonup \: p < 32[/tex]

Answer:

A is the answer got it right on quiz

5. Find dy/dx of
of the following
the following functions
y²= 4ax

Answers

Answer:

A general rule for functions of the general form:

y = A*x^n

is:

dy/dx =  n*A*x^(n - 1)

Then, for the function:

y^2 = 4*a*x

Then we can rewrite this as:

y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)

Then we have:

A = √(4*a)

n = 1/2

Now we can use the above rule to get

dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)

dy/dx = (1/2)*√(4*a)*x^(-1/2)

dy/dx = (1/2)*√(4*a/x)

dy/dx = √(1/4)*√(4*a/x)

dy/dx = √( (1/4)*4*a/x)

dy/dx = √(a/x)

Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.

Answers

Step-by-step explanation: Do You Want Me To Find All The Values ?

Parallel lines intersected by a common transversal form 8 angles

The required values of y and x are;

5. y = 42°6. y = 29.5°7. y = 9°8. y = 14°9. y = 31°10. x = 20°11. x = 13°12. y = 39°

The reasons why the above values are correct are given as follows:

Given the lines are parallel lines cut by a common transversal, we have;

Angles with measure (2·y - 1)° and (9·x - 38)° are same side interior angles

Angles with measure (4·x + 23)° and (2·y - 1)° are alternate interior angles

Which gives;

(2·y - 1)°+ (9·x - 38)° = 180°...(1)

(4·x + 23)° = (2·y - 1)°...(2)

From equation (1), we get;

y = 109.5 - 4.5·x

From equation (2), we get;

y = 2·x + 12

The common solution is given by; 109.5 - 4.5·x = 2·x + 12

From 109.5 - 4.5·x = 2·x + 12, we get;

x = 15,  

y = 42°

6) (9·x + 42)° and 15·x° are vertical angles, and therefore are equal

(9·x + 42)° = 15·x°

∴ x = 7

(4·y - 13)° and (9·x + 42)° are supplementary, therefore

(4·y - 13)° = (9·x + 42)°, which gives;

(4·y - 13)° = (9×7 + 42)° = 105°

y = 29.5°

7) (3x + 11) + (x + 21) = 180

∴ x = 37

(14·y - 4)° = 3x + 11 = 3 × 37 + 11 = 122°

y = 9°

8) (13·x - 33) = 10·x

∴ x = 11

10·x + 5·y = 180

10 × 11 + 5·y = 180

[tex]y = \dfrac{70^{\circ}}{5} = 14^{\circ}[/tex]

y = 14°

9) (27·x + 4) + (8·x + 1) = 180

∴ x = 5

y + 10 = 8·x + 1 = 8 × 5 + 1 = 41

y = 41 - 10 = 31

y = 31°

10) 16·x - 4 = 9·x - 6 + 58 = 9·x + 52

7·x = 56

x = 8

11) (6·x - 58)° + (x + 8)° = 90°

7·x - 50 = 90

7·x = 90 + 50 = 140

[tex]x = \dfrac{140}{7} = 20[/tex]

x = 20°

12) 7·x - 7 = 3·x + 45°

4·x = 52

[tex]x = \dfrac{52}{4} = 13[/tex]

x = 13°

(3·x + 45)° + 63° + (y - 6)° = 180°

(3×13 + 45)° + 63° + (y - 6)° = 180°

147 + (y - 6)° = 180°

y = 39°

Learn more about the angles formed between parallel lines here:

https://brainly.com/question/17477121

https://brainly.com/question/8692265

https://brainly.com/question/17931911

How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.

Answers

Answer:

628 possible passwords.

Match each event to the likelihood of its occurrence. rolling a six-sided die and getting a 7 randomly selecting a girl from a team of 14 boys and 4 girls randomly selecting a short straw from a set of 12 short straws and 12 long straws picking a bird from a list of 20 bird species and 6 other animals likely arrowRight impossible arrowRight unlikely arrowRight neither likely nor unlikely arrowRight

Answers

A six sided die has numbers 1 through 6 so getting a 7 is impossible so the probability would be 0 (impossible)

14 + 4 = 18 total boys and girls

Picking a girl would be 1/18 this is low so ( unlikely)

12 short and 12 long straws = 24 total straws. Picking a short one would be 12/24 = 1/2 this is in the middle ( neither likely nor unlikely)

20 + 6 = 26 total animals

Picking a bird = 20/26 = 10/13, this is high ( likely)

Answer:

A six sided die has numbers 1 through 6 so getting a 7 is impossible so the probability would be 0 (impossible)

14 + 4 = 18 total boys and girls

Picking a girl would be 1/18 this is low so ( unlikely)

12 short and 12 long straws = 24 total straws. Picking a short one would be 12/24 = 1/2 this is in the middle ( neither likely nor unlikely)

Picking a bird = 20/26 = 10/13, this is likely

Step-by-step explanation:

Need help fast what are values of x and y

Answers

Answer:

y = 52

x = 5

Step-by-step explanation:

14 x + y = 122

y = 52

x = 5

What are the solutions of the equation 12 + 15 - 79?

Answers

The answer is negative 52

Solve and Graph the Inequalities​

Answers

Answer:

1) 2 + 5k ≤ -18

5k ≤ -20

K ≤ -4

2) -7 > 3 + r/5

-10 > r/5

-50 > r

3) -6 + a/2 < -6

a/2 < 0

a < 0

4) -10 ≤ 5 - 3y

-15 ≤ -3y

5 ≤ y

5) 5 - 6z < 29

-6z < 24

z < -4

6) 5c + 2 ≥ -28

5c ≥ -30

c  ≥ -6

7) -4 + x/2 ≥ -10

x/2 ≥ -6

x ≥ -12

8) 4d + 5 ≤ -27

4d ≤ -32

d ≤ -8

9) -9 > -5 + y/6

-4 > y/6

-24 > y

10) -45 > 3 + 6g

-48 > 6g

-8 > g

For all of the graphs:

Start the point on the number that I got from the inequality.

A filled circle means:

Greater than or equal to or less than or equal depending on where the line goes.

A hallow circle means:

Greater than or less than also depending on where the line is pointed towards too.

In order to graph an inequality you have to find and simply first then graph it.

For example on number 1, K ≤ -4.

Let's graph!

As you can see I filled in the circle and started at the point, -4.

Once I did it I made it bold from -4 and there on to the left. Making -4 be greater than or equal to K.

I showed that -4 is greater than or equal to K by making the line bold behind -4, also by filling in the circle.

I will give brainliest to whoever answers this question:) help a dummy out

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is a parabola, that opens up downwards,  and the point from which Sarah throws the ball is 5 feet off the ground.  so set the height to zero ( when the ball reaches the ground )  and solve for t

0 = -16[tex]t^{2}[/tex] + 18t + 5

use quadratic equation :)

-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a

-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)

-18 +- sqrt[324 +320 ] / -32

-18 +- sqrt[644] / -32

-18 +- 25.377155 / -32

do the positive choice :

-18 + 25.377155 / -32

7.377155  / -32

-0.2305  ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)

do the negative choice:

-18 - 25.377155 / -32

1.355536  ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )

t = 1.4 seconds ( rounded to nearest 10th )

the solution set of 4x-(x+7)=2(x+3)​

Answers

Step-by-step explanation:

To Solve:-

[tex]\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)[/tex]

SOLUTION:-

[tex]\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)[/tex]

[tex]\\ \tt{:}\leadsto 4x-x-7=2x+6[/tex]

[tex]\\ \tt{:}\leadsto 3x-7=2x+6[/tex]

[tex]\\ \tt{:}\leadsto 3x-2x=6+7[/tex]

[tex]\\ \tt{:}\leadsto x=13[/tex]

En un parc que ocupa una superfície rectangular s'han construït un camí que el travessa en diagonal. Si les dimensions del parc son 3 km i 1,5 km, quina longitud té el camí?

Answers

Could you translate it to English in the comments so I could better understand what your asking :)

4(8x−1) = 19+32x
I need help with a question I am kinda stuck on please someone help and please give me some steps for it at least some.

Answers

Answer: 0 = 23

Almost positiveee :))

Step-by-step explanation:

The telephone company made this table to show the number of telephones in the homes they surveyed: Phones in home o 1 2 34 or more Number of homes7|33 56 42 If these homes are representative of the community of 100,000 homes that the company serves, about how many homes would you predict have 4 or more 12 telephones?​

Answers

his helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

answer: 24,000

Answer:20,000

Step-by-step explanation:

A hiker is hiking a mountain that is 4,500 feet high. He plans on stopping 6 times at equal distances. At this rate, after how many feet will the hiker stop? A. 750 feet B. 725 feet C. 150 feet D. Not Here (also if you can explain how that would be great)​

Answers

Answer:

A. 750

May the 4th be with you :)

What is the equation of a parabola with (4, 6) as its focus and y = 2 as its directrix



Answers

Answer:

Step-by-step explanation:

hope this helps or answers your question.

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