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
Answers
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
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:
Reposting this question because of the bots sending links
Answers
HEEEELLLPPPP PLLEEASSSEE!!! ASAP
Answers
Please help meeeeeeee! Gratefully appreciate it, happy holidays!
Answers
Answer:
x = 50
Step-by-step explanation:
180-(50+80)=x
180-130=50
any one is good at math can help :(
Answers
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!
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.
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
x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?
Answers
Answer:
x is a function
since it forms a horizontal line it passes the vertical line test and is a function
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.
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!
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
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
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)_/¯
(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
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
Pls help brainiest to the correct answer!
Answers
Answer:
a) 9, b) 87, c) - 2, d) - 9Step-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]
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
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.
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
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
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!
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!
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
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.
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]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]
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!
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.
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:
