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
Identify the domain and range of the following relation. {(3,-2), (5,2), (7,6), (9,10), (11,14)}
Answers
R: -2, 2, 6, 10, 14
Rafael runs 7 miles in 60 minutes. at the same rate, how many miles would he run in 24 minutes
Answers
Answer:
2.8 miles
Step-by-step explanation:
Speed of Rafael = 7 miles / 60 min = 7/60 miles/min
Time for next run = 24 min
Length of the next run = 7/60 miles/min *24 min = 2.8
If the measure of one angle of an isosceles triangle is 60degree then the triangle is
Answers
Answer:
i think If the measure of one angle of an isosceles triangle is 60degree then the triangle is equilateral triangle
Complete the sentence.
Twenty-seven is % of 60.
Answers
Answer:
45 percent
Step-by-step explanation:
Have an awesome day!
DETERMINE WHICH OF THE LINES ARE PARALLEL OR PERPENDICULAR thx sm
Answers
Answer:
Parallel: a and b
Perpendicular: none
Step-by-step explanation:
You are given the coordinates of each line.
To check if they are parallel or perpendicular, need to find slope.
In this case we can use :
m = (y2 - y1) / (x2 - x1)
So for line a:
(1,5) and (-2, -4)
slope = (-4 - 5) / (-2 - 1)
slope = -9/-3
slope = 3
Line b:
(3, 2) and (1, -4)
slope = (-4 - 2)/(1 - 3)
slope = -6/-2
slope = 3
Line C:
(6, 1) and (-4, 2)
slope = ( 2 - 1) / ( -4 -6)
Slope = 1/ -10
slope = - 1/10
Line A and B are parallel because their slopes are the same.
To check if they are perpendicular, we need to know if their slopes are reciprocals.
Here none of them are perpendicular to each other
Ernie played 35 soccer games this season. He won 28 games. Enter the
percentage of games Ernie won.
Answers
= 0.8
Then multiply the decimal with 100
0.8 x 100
= 80
There fore the answer is 80%
Hope this helps!
Brainliest is much appreciated!
Answer:
I think it;s 9.8
Step-by-step explanation:
You divide 35 and 28 i think
Please help
I need to turn it in now
Answers
Answer:
Step-by-step explanation:
x=rcosθ=4 cos (-40)=4 cos 40≈3.064
y=r sin θ=4 sin (-40)=-4 sin 40≈-2.571
the vector is (3.064,-2.571)
A line has slope 56 and y–intercept −3.
Which answer is the equation of the line?
y=56x+3
y=−3x+56
y=56x−3
y=3x+56
Answers
Answer:
c
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
m=56
b=-3
y=56x-3
Find the zeros of quadratic equation X^2 - 3x + 9 = 5x - 10
Answers
x^2 - 3x + 9 - 5x + 10 = 0
x^2 - 8x + 19 = 0
[tex]x^{2} -3x+9=5x-10 <=> x^{2} -3x-5x+9+10=0\\<=>x^{2} -8x+19=0 <=>x^{2} -2.4+16+3=0\\<=>(x-4)^2+3=0[/tex]
ok done. Thank to me :>
150 - 0.5 = 120 + 0.25
Answers
Answer:
149.5 = 120.25
Step-by-step explanation:
Tell whether the ordered pair is a solution to the equation please show how you solve it.
(3,2); x+6y = 13
Answers
Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
please help i'm stuck and it's a unit test if correct i will give brainiest
Which inequality represents this statement?
A number is no more than 5.
a. n≥5
b. n<5
c. n>5
d. n≤5
Answers
Answer:
d. n≤5
Step-by-step explanation:
This is the answer
Answer:
D) n≤5
Step-by-step explanation:
No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.
Please, Please help ASAP
Answers
Answer:
5 is the answer
please mark as brainlist
thank you
Find the area of the circle. Round your answer to the nearest tenth. Use 3.14 or 22 for it mm area: about mm
Answers
Answer:
3.1
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
which lines are parallel? how do you know?
Answers
Solve the system of linear equations.
13x+y=1
2x+6y=6
Answers
Answer:
x = 0 and y = 1 Solution: (0, 1)
Step-by-step explanation:
13x + y = 1 multiply by -6 ⇔ -78x - 6y = -6
2x + 6y = 6 do not change ⇔ + 2x + 6y = 6
-76x = 0
x = 0
Use the second equation to solve for y if x = 0
2x + 6y = 6
2(0) + 6y = 6
0 + 6y = 6
6y = 6
y = 1 Solution (0,1)
Jenna walks 12 miles in 5 days. Alex walks 15 miles in 6 days. Who walks more miles per day? Show your work to prove your answer.
Answers
Answer:
Alex walked more
Step-by-step explanation:
Jenna: 12/5= 2.4
alex: 15/6=2.5
A system of two equations is shown below:
Equation C: a = 2b + 7
Equation D: a = 5b − 3
What value of a can be substituted into equation D to solve the system of equations?
2b
5b
5b − 3
2b + 7
Answers
Answer:
25452664637378381234
Answer:
2b+7
Step-by-step explanation:
sorry for the dimwit who typed random numbers
Solve the following for :
60/3=x/4
Answers
Answer:
80
Step-by-step explanation:
60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80
Is this sample of the coins likely to be representative?
Answers
Answer: yes
Step-by-step explanation:
please help this is due tomorrow and im having a lot of trouble figuring these out
Answers
help on both
please !!!
don't give me irrelevant answers pls
Answers
Answer:
< 1 is 85
X= 50
Step-by-step explanation:
ok the first question has 2 angles given 60 and 65
consider this one shows a 90 degree angle and the other does not. so 60 plus 90 equals 150 degrees
the u must say 65 plus x (x being angle 1) must also equal 150
subtract 65 from 150 and you get 85
now the second problem lets use the
Exterior Angle Theorem
The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.
using this we know the 40 degree angle and 2x + 20 equals 3x plus 10
so we subtract 10 degrees from both sides and get
2x plus 10 plus 40 equals 3x now this means x equals 10 plus 40 which is 50
How can you tell from the equations, without graphing, how many solutions the system has?
Answers
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.Step-by-step explanation:
Hope this helps !!Easy geometry question please help
Answers
Answer:
Y-8
Step-by-step explanation:
Any point on the upper triangle ABC, for example point B, is translated 8 units down the y axis, appearing on the lower triangle A'B'C'
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
3:7
Step-by-step explanation:
She has 3 tennis and 7 soccer
is it Substitution or linear combination?
Answers
Answer:
Substitution
Step-by-step explanation:
You would solve this system using the substitution method as one of the variables are define.
In other words y = x + 3 defines y with the expression "x + 3" and we are easily able to substitute this into the other equation for y and solve of x.
Find the 12th term of the following geometric sequence.
10, 30, 90, 270
Answers
Answer:
1,771,470
Explanation:
10(3^n-1)
You have $10 in your bank account. It doubles in the first month and every month thereafter. How much money will you have after 5 months?
Answers
so,
10
10×2 =20
20×2=40
40×2 =80
80×2=160
hence proved that after 5 months you will have $160
plz help I'm bad at math
Answers
Answer:
then u suck at lif
Step-by-step explanation:
Get betta then yk
Have a good day bro cya)
what is the mean of the data set
14 19 18 12 22 15 16 14 14 21 20
A 15.75
B 16.00
C 16.75
D 19.50
