Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1

Question 10The Graph Below Shows A Rational Function.10-5-123456-3-6-5-4-2-510-15+Select The Function

Answers

Answer 1

According to it's asymptotes, the function represented by the graph is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

The vertical asympotes of a function f(x) is the points which are outside the function domain.

In a fraction, they are given by the zeroes of the denominator.

In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.

The horizontal asymptotes are the values of the function as x goes to infinity.

In this problem, they are given by:

[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]

Hence, the option that satisfies it is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.


Related Questions

Find the median and mode of the following data:
a) 5, 9, 3, 4, 9, 2, 1, 3, 6.
b) 60, 67, 62, 61, 63, 65, 64, 68, 60.

Answers

A is 4 and b is 63 have a good day
A) To find the median list the numbers in ascending order. (1, 2, 3, 3, 4, 5, 6, 9, 9) The middle number is the median. So the answer is 4.
The mode is the number that appears the most which is 3 and 9 because they both appear twice.
B) (60, 60, 61, 62, 63, 64, 65, 67, 68) The middle number is 63 so that is the median.
The mode is 60 as it appears the most in the list.
Pls give me the brainliest!

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

11

Step-by-step explanation:

Givens:

AD = 8

AC = 4y - 28

y = ?

First we can see that AD and DC are equal.

-note AD and AC are not equal

But 2 times the length of AD should give you AC so.....

2 x length of AD = 16 = AC

We can use the equation:

16 = 4y - 28

Solve for y

16 + 28 = 4y

44 = 4y

y = 11

Therefore value of y is 11.

You want to make sugar cookies and chocolate chip cookies. You have only one dozen eggs and 20 cups of flour. For each batch of sugar cookies you need 1 egg and 2 cups of flour, for chocolate chip cookies you need 2 eggs and 2 cups of flour per batch. You know you need to make at least 3 batches of sugar cookies. How many of each type should they make to get the best profit?​

Answers

Answer:

check online for more information

Which algebraic expression represents this word description?
The product of nine and the difference between five and a number

Answers

Answer: 9(5-n)

Step-by-step explanation:

The product of nine and the difference between five and a number can be represented as 9(5-n)

Answer:      9(5-x)

Step-by-step explanation:

Please help meeeeeeee! Gratefully appreciate it, happy holidays!

Answers

Answer:

x = 50

Step-by-step explanation:

180-(50+80)=x

180-130=50

A cook has 32 ounces of a 5% apple cider vinegar that she wants to
dilute to a 3% apple cider vinegar. How much water does she need
to add to obtain that concentration?

Answers

The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.

In matter of units, concentration equals to to the mass of cider vinegar ([tex]m_{c}[/tex]) divided by mass of water ([tex]m_{w}[/tex]), both expressed in ounces. A reduction on concentration implies that mass of cider vinegar remains constant while mass of water is increased.

Now we derive expressions for the initial and final concentrations for cider vinegar:

Initial concentration

[tex]c_{i} = \frac{m_{c}}{m_{w}+m_{c}}[/tex] (1)

Where:

[tex]m_{w}[/tex] - Initial water mass, in ounces. [tex]c_{i}[/tex] - Initial concentration ratio, no unit.

Final concentration

[tex]c_{f} = \frac{m_{c}}{m_{c}+m_{w}'}[/tex] (2)

Where:

[tex]m_{w}'[/tex] - Initial water mass, in ounces. [tex]c_{i}[/tex] - Initial concentration ratio, no unit.

Then, if we know that [tex]c_{i} = 0.05[/tex], [tex]c_{f} = 0.03[/tex], [tex]m_{w}+m_{c} = 32\,oz[/tex] and [tex]m_{c}+m_{w}' = 32 + x[/tex], then the addition of water is:

[tex]0.05 = \frac{m_{c}}{32}[/tex] (1b)

[tex]0.03 = \frac{m_{c}}{32+x}[/tex] (2b)

Then we eliminate [tex]m_{c}[/tex] in (1b) and (2b):

[tex]0.05\cdot 32 = 0.03\cdot 32 + 0.03\cdot x[/tex]

[tex]0.02\cdot 32 = 0.03\cdot x[/tex]

[tex]x = 21.333\,oz[/tex]

The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.

To learn more on concentrations, we kindly invite to check this question: https://brainly.com/question/492238

HEEEELLLPPPP PLLEEASSSEE!!! ASAP

Answers

the answer is y=3/4x and there’s no exact y intercept



100 inches = 254 centimeters
Use the conversion above to answer the following questions,
A pencil measures 10 inches, How many centimeters is the pencil?
The pencil measures
centimeters

Answers

Answer:

A pencil is about 19 centimeters long

Answer:

if 100 inches=254 centimeters

then 10 inches=x

100x=2540

x=2540/100

x=25.4 centimeters

Reposting this question because of the bots sending links

Answers

GHL LIH GLH my friend has been working

Elsa is selling bracelets at craft shows to raise money for an animal shelter. She is also accepting additional cash donations. She plans to give 75% of the money from all bracelet sales and donations to the shelter. She will use the remaining money to buy more supplies. Bracelet sales and donations from the first craft show are represented by the expression 24n+32 , where n represents the amount Elsa charges for each bracelet. The second craft show sales and donations is represented by the expression 40n+56 . If Elsa charges $4 for each bracelet, how much money will she donate to the animal shelter?

Answers

Answer:

22-1n-3

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The amount donated to the animal shelter is $258

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Percentage to donate to the shelter = 75%

The expression that shows the amount from the first and second craft shows.

24n + 32 _____(1)

40n + 56 ______(2)

Where n is the amount of each bracelet.

Now,

Cost of each bracelet = $4.

From (1) and (2) we get,

24 x 4 + 32 = 96 + 32 = 128

40 x 4 + 56 = 160 + 56 = 216

Now,

The total amount collected from both the craft shows.

= 128 + 216

= $344

The amount donated to the animal shelter.

= 75% of $344

= 75/100 x 344

= $258

Thus,

The amount donated to the animal shelter is $258

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

PLEASE HELP NO ONE HAS BEEN ANSWERING AT ALL!!!! I WILL GIVE BRAINLIEST! With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h

Answers

Answer:

Step-by-step explanation:

B

Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.

x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?

Answers

Because they all have a different x number. Even though the y numbers are the same you can tell wether a set of numbers are a function by the x numbers. So since there are different x numbers it is a function. I hope this helps!

Answer:

x is a function

since it forms a horizontal line it passes the vertical line test and is a function

Pls help brainiest to the correct answer!

Answers

Answer:

a) 9, b) 87, c) - 2, d) - 9

Step-by-step explanation:

a) - 2 * (- 4.5) = 9b) (- 8.7) * (- 10) = 87c) (- 7) * (-2) = 14d) (- 9) * (- 10) = 90

#a

[tex]\\ \sf{:}\dashrightarrow -2(-4.5)=9.0[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow (-8.7)(-10)=8.7[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow (-7)(-2)=14[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow (-9)(-10)=90[/tex]

A line passes through (2, -1) and (4, 5).
-
Which answer is the equation of the line?
-3x+y=17
-3. + 5y = -13
-3x+y=-7
-3x+5y=13

Answers

Answer:

its c

Step-by-step explanation:

The five-number summary of a data set is given below.
Minimum: 3
Q1:12
Median: 15
Q3: 16
Maximum: 20
Which of the following is the IQR for this distribution?
1
3

4
5

Answers

Answer:

127 is the IQR.

Step-by-step explanation:

C: 4

IQR (interquartile range) can be found by subracting Q1 from Q3 (Q3 - Q1)

Reposting because Katie from the Brainly staff seems to think simple subtraction is a violation of community guidelines ¯\_(ツ)_/¯

a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there

Answers

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

       200  + 2y = 356          {Subtract 200 from both sides}

                  2y = 356 - 200

                 2y = 156       {Divide both sides by 2}

                   y = 156/2

                 y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

      x = 100 - 78

      x = 22

22 hens and 78 sheep

(PLS HELP FAST FOR 20 points) one step equation 18 + x = -9

Answers

Answer:

-27

Step-by-step explanation:

18 + x = -9

subtract by 18 on both sides

x = -27

You can check this by...

18 - 27 = -9

I hope this helps!!

this is your answer hope it's helpful for you



Find the Principal:
$65 interest
2% interest rate
9 months

Answers

Answer: P = 36.11111

Step-by-step explanation:

Formula: P = I / (RT)

65 / (.02*9)

(.02 is the decimal form of 2%)

65 / 1.8 = 36.111111111

P = 36.111111 (Unsimplified answer)

Correct me if it is incorrect.

omg please help for brainlist !!!!!!!!!!!!!!!!!!!

Answers

Answer:

f(x) is linear

g(x) is exponential

Step-by-step explanation:

A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.

First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:

[tex](-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20[/tex]

All of these points are the same distance apart on the y, so f(x) must be a linear function.

Now look at g(x). These are also all equally distant at only 1 unit apart.

[tex]30-10=20\\90-30=60\\270-90=180[/tex]

These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.

Meriel works in a lab and needs to measure 7.5 grams of a substance with a percent error of less than
5%. What is the smallest and largest amount they can measure to stay under this percent error?

Answers

Answer:

Step-by-step explanation:

A common way of measuring the mass of objects is to use balance scales. A balance scale works by placing the object you want to weigh on one side and adding gram masses to the other side until the scales are level. Masses for weighing usually come as 1 g, 5 g, 10 g, 20 g or more!

What is the 2nd equivalent fraction to 5/7

Answers

Hello!

2nd equivalent fraction to is 5/7 is 10/14.

Other equivalent fractions are 15/21, 20/28, 50,70...

I hope this helps,

Have a great day!

Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.

Answers

The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Using this formula

PVA=Principal [(1-rate)^time/rate]

Let plug in the formula

PVA=45000[(1-(1+0.031)^(-25))/0.031]

PVA=45000[(1-(1.031)^-25)/0.031]

PVA=45,000(1-0.4661582427091)/0.031

PVA=45000(0.533841757290/0.031)

PVA=45000(17.22070184809)

PVA=$774,931.58

Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Learn more about compounded interest here:

https://brainly.com/question/24274034

Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.

Answers

(2,5) and (4,13)

y - y1 = y2 - y1

x - x1    x2 - x1

 

y - 5  = 13 - 5 = 8/2 = 4 x - 2     4 - 2

y - 5 = 4x - 8

y = 4x - 3

m = 4, c = -3

Solve for m. 81m2 = 36

Answers

Step-by-step explanation:

81m2 = 36

m2 = 36/81

m2 = 4/9

Square root on both sides

m = 2/3

Answer:

Step-by-step explanation:

i hope this help have a great day!

Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24

Answers

Hello there, this is how we will solve your problem.\

here is the equation you gave us.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]

we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]

Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].

_________________

[tex]y=-3[/tex] [tex]x=0[/tex]

HELP ME GUYS THANKS !

Answers

Answers:

-32

-8

-2

4

Step-by-step explanation:

[tex]y = 6x - 2[/tex]

[tex]y_1 = 6(-5) - 2 = -30 -2 = -32[/tex]

[tex]y_2 = 6(-1) - 2 = -6 -2 =-8[/tex]

[tex]y_3 = 6(0) - 2 = 0 -2 = -2[/tex]

[tex]y_4 = 6(1) - 2 = 6 -2 = 4[/tex]

Step-by-step explanation:

Ok so the function rule is: y=6x-2

We have 4 sets of numbers under the value "x." That means we have to input the given values into the function.

First is x=-5. We input -5 into the function so we get y=6(-5)-2. We multiply 6 and -5 and we get -30, then we subtract 2 from -30. Then for the answer for the first column, we get -32 for the y value.

Now we have x=-1. We input the number for x in the function and we get y=6(-1)-2. We multiply 6 and -1 and we get -6, then we subtract -2 from -6 and we get -8. So out y value for the second row is -8.

Try the next two on your own to see if you understand. If you still don't understand please comment under this answer. I'll try to respond as quickly as I can.

A football team caught the ball in 60% of the
plays during a game. Based on this information, if
the team caught the ball in 15 plays, how many
total plays did the team have?

Answers

Answer: 25 Plays Total.

60% of 25 is 15

10% of 25 = 2.5

2.5x6=15

Hope This Helps.

At Store A, a game system sells for $150.The same system sells for $175 at Store B.Use a ratio to compare the price at Store A to the price at Store B.

Answers

Answer:

6:7

Step-by-step explanation:

=store A:store B

=150:175

=6:7

any one is good at math can help :(

Answers

Answer:
1. 1/50, or 1 megabyte per 50 seconds
2. -5/2, or -5 dollars per 2 months

Explanation:
To find slope, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)

M represents the slope, (x1, y1) represent the coordinates of a point on the line, and (x2, y2) represent the coordinates of another point on the line. The points you pick don’t matter as long as they’re different.

For the first graph, I’ll pick (150, 3) and (100, 2).
m = (2 - 3)/(100 - 150)
m = -1/-50
m = 1/50

From the x and y axis, I can determine the units: megabytes per seconds. The answer becomes 1 megabyte per 50 seconds.

The second graph will have the same process. Since the line is pointing downward, I already know that the slope will be negative. I can plug the pre-chosen points, (10, 5) and (4, 20), into the slope formula.
m = (20 - 5)/(4 - 10)
m = 15/-6 or -5/2

The answer becomes -5 dollars per 2 months.

I hope this was helpful!

im in school rn and i dont understand this!

Answers

Answer:

[tex]33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13[/tex]

Step-by-step explanation:

[tex]33\% <\dfrac 3{10}<0.32<\dfrac 13[/tex]

Other Questions
use the ratio of a 45-45-99 triangle to solve for the variables. A cost is considered controllable at a given level of managerial responsibility if Group of answer choices it is a variable cost, but it is uncontrollable if it is a fixed cost. it changes in magnitude in a flexible budget. the cost has not exceeded the budget amount in the master budget. the manager has the power to incur the cost within a given time period. A stock is expected to pay annual dividends of $1.20 and sell for $42.60 three years from today. Which of these is the correct formula for computing the value of the stock today if the discount rate is 9 percent?A. Po = $1.20 ($1.20/1.09) + [($1.20+ $42.609)/1.09^2]. B. Po = ($1.20/1.09) + ($1.20/1.09^2) + ($42.60/1.09^2).C. Po = ($1.20/1.09) + ($1.20/1.09^2) + [(1.20+ $42.60)/1.09^2].D. Po = $1.20^2/1.09^2 + ($42.60/1.09^2). Certain traits and abilities made humans more adaptable to climate changes than other animals. Identify each trait as belonging to eitherhumans or animals.starved when main food source became limitedlearned to create and control firefor warmth during cold weatherhad no ability to control the environmentswitched to eating what was available whenmain food source became limited An airplane flies a distance of 800km from A to B. If its average speed is 600km/h, how long does it take to cover that distance? Look at this painting by Claude Monet. What makes it an impressionist painting? f(x) = x - 1. Find the inverse of f(x). Single-case experiments were developed from a need to determine whether an experimental manipulation has an effect on a single research participant. measure only a single dependent variable. overcome selection differences that occur in nonequivalent control group design. have a design that examines a measurement at only one point in time. Fill in the blank with the French word that best completes the sentence.L'histoire des Trois Petits ____lphantsOursCochonsChevaux Angles CED and CBD subtend the same arc. Determine the measure of CED.Question options:1) 1002) 1503) 3104) 50 Hector's Position:Hector was standing halfway between first and second base, at the grass line. Thegrass line is 95 feet from the pitcher's mound.6. Calculate the coordinates for Hector's position. [Note: We can assume that 95feet is an approximately horizontal distance from the pitcher's mound to the grassline.] (2 points: 1 for x, 1 for y)Hector was standing at the coordinate ( __, _).Calculate Hector's Throw: This is CIVICS IF UR CORRECT ILL GIVE BRAINLISTAccording to the laws of supply and demand, what will happen to the supply of automobiles if automobile prices fall?A. The supply of automobiles will decrease because consumers will buy more of them at higher prices. B. The supply of automobiles will increase because consumers will buy more of them at lower prices.C. The supply of automobiles will increase because consumers will buy more of them at higher prices.D. The supply of automobiles will decrease because consumers will buy more of them at lower prices. Please hurry I will mark you brainliest What is the equation of the line parallel to y = 2x - 4 and with the same x - intercept as 3x 4y = 12? a special window in the shape of a rectangle with semicircles at each end is to be constructed so that the outside perimeter is 100 feet. find the dimensions of the rectangle tha tmaximizes the total area of the window Aureolin Company manufactures toothpaste and packs them in tubes of 250 grams. Standard variable overhead rate (SVOR) $3.90 per direct labor hour Actual variable overhead $79,721 Actual hours worked (AH) 22,290 hours Hours allowed for production (SH) 18,000 hours Determine the variable overhead spending variance. As required by the Texas law, please take a moment to answer following question before you canmove on to the next section.Question 1 of 11. Almostteens are killed by distracted or reckless drivinghO 4.0001,5002.000 Write an algorithm and draw a flowchart for switching off a machine after it has made 500 glass bottles. use an appropriate conditional statement for thisplease hurry i need urgentplease answer corrector i will report The analog computer deals directly with There are 160 pages in a book.15% of the pages having pictures on them. How manyPages do not have pictures on them? After a power outage, the stoplights at a busy intersection were blinking red for traffic going in every direction. By statute, motorists must come to a full stop at a blinking red traffic signal before proceeding through the intersection. Cars driven by the plaintiff and by the defendant arrived at the intersection at the same time. Due to inattention, neither one stopped for the signal and the cars collided in the intersection. The plaintiff sued the defendant for his injuries. The trier of fact determined that the plaintiff was more at fault than the defendant. Will the plaintiff likely recover damages