The graph shown here is the graph of which of the following rational
functions?
FOO
- 10
10
A. F(X) = **-5)
(x+2)
O B. F(x) = (x + 2)(x
O C. F(x) = (x + 2)(x-5)
Answers
Answer:
Option (B)
Step-by-step explanation:
From the graph attached,
Vertical asymptotes of the function are x = -2, 5
Horizontal asymptote is y = 0
Now we take each option,
Option (A),
F(x) = [tex]\frac{x(x-5)}{(x+2)}[/tex]
No horizontal asymptote
Vertical asymptote : x = -2
Option (B),
F(x) = [tex]\frac{x}{(x+2)(x-5)}[/tex]
Horizontal asymptotes : y = 0
Vertical asymptotes : x = 5, -2
Option (C),
F(x) = [tex]\frac{(x+2)(x-5)}{x}[/tex]
Vertical asymptote : x = 0
No horizontal asymptote.
Therefore, Function given in Option (B) matches the asymptotes given in the graph.
Option (B) represents the graph.
Function given in Option (B) matches the asymptotes given in the graph.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, From the graph attached,
Vertical asymptotes of the function are x = -2, 5
And, Horizontal asymptote is y = 0
Hence, we take each option and check as,
For Option (A),
F(x) = x (x - 5) / (x + 2)
Hence, No horizontal asymptote
And, Vertical asymptote : x = -2
Option (B),
F(x) = x / (x + 2) (x - 5)
Hence, Horizontal asymptotes : y = 0
And, Vertical asymptotes : x = 5, -2
Option (C),
F(x) = (x + 2) (x - 5) / x
Hence, Vertical asymptote : x = 0
And, No horizontal asymptote.
Therefore, Function given in Option (B) matches the asymptotes given in the graph.
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Related Questions
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.) 5,280 feet = 1 mile 27 feet per second 59 feet per second 132 feet per second 288 feet per second
Answers
Answer:
59 ft/second
Step-by-step explanation:
40 miles / hour
Multiply by the conversion factors
40 miles 5280 ft 1 hour
------------ * -------------- * -----------
hour 1 mile 3600 seconds
Canceling the units
40 * 5280 ft/ 3600 seconds
58.6666666 ft/ second
To the nearest whole number
59 ft/second
Answer:
[tex]\Large \boxed{\mathrm{59 \ feet \ per \ second}}[/tex]
Step-by-step explanation:
40 miles per hour
1 mile = 5280 feet
40 miles = 5280 × 40 = 211200 feet
1 hour = 3600 seconds
[tex]\displaystyle \sf \frac{211200 \ ft}{3600 \ s}[/tex]= 58.666666666... ft/s
Point A is located at (-3, 2) and point B is located at (1, 8). What is the x coordinate of the midpoint?
Answers
Answer: Midpoint (xM, yM) = (4, 5)
Write a verbal sentence to represent the equation
X/4+8=-16
Answers
Answer:
The sum of X divided by 4 and 8 is -16.
Step-by-step explanation:
The main numbers we are adding are X/4 and 8, so those can be referred to as "the sum of". X/4 is simply "X divided by 4".
This all equals -16, so we have:
The sum of X divided by 4 and 8 is -16.
What is the height of Jack's house, in feet, if the house casts a shadow 56 feet long at the same time a 21-foot tree casts a shadow that is 24 feet long? Express your answer to the nearest whole number.
Answers
Answer:
49 feet
Step-by-step explanation:
We solve for this using proportion
Height of Jack's house = ?? = Y
Length of the shadow of Jack's house = 56 feet
Height of a tree = 21 feet
Length of the shadow of the tree = 24 feet
Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree
Y/56 = 21/24
Cross Multiply
24 × Y = 56 × 21
Y = 56 × 21/24
Y = 1176/24
Y = 49 feet
Therefore, the height of Jack's house is 49 feet
What information do you need to accurately describe a translation
Answers
Answer:
make sure you have a good understanding of the subject you are translating, and that the translation is for that subject
Sahara bought 100 eggs for rs 1280. 15 of them were rotten for what rate should she sell it to get 10% profit.
Answers
Answer:
≈ Rs. 16.57
Step-by-step explanation:
Given:
Number of eggs bought = 100Cost price = Rs. 1280Profit required = 10%Selling price = ?SolutionMoney should be made to get 10% profit:
1280+10% = 1280*1.1= Rs. 1408Eggs left for sale:
100 - 15 = 85Selling price:
1408/85 ≈ Rs. 16.57 per eggIn the triangle below y=? Round to the nearest tenth
Answers
Answer:
51.3°
Step-by-step explanation:
Step 1: Use tan to find angle y
o = 10
a = 8
[tex]tan()=\frac{o}{a} \\tan(y)=\frac{10}{8} \\y = tan^{-1} (\frac{10}{8})\\y = 51.3[/tex]
Therefore angle "y" is 51.3° rounded to the nearest tenth
The shoe size for all the pairs of shoes in a person closet are recorded. what is the mean
Answers
Answer:
The mean size of the shoe is 7.
Step-by-step explanation:
We are given the shoe size for all the pairs of shoes in a person closet below;
X = 7, 7, 7, 7, 7, 7, 7, 7, 7, 7.
And we have to find the mean of the data.
Let X = shoe size for all the pairs of shoes
As we know that the mean of any discrete data is given by the following formula;
Mean, [tex]\bar X[/tex] = [tex]\frac{\text{Sum of all the observations}}{\text{Total number of observations}}[/tex]
Here, the number of observations = 10
= [tex]\frac{7+7+7+7+7+7+7+7+7+7}{10}[/tex]
= [tex]\frac{70}{10}[/tex] = 7
Hence, the mean size of the shoe is 7.
two out of four snowmen built by young children have carrots for noses. what percentage or snowmen have carrots for noses??
A) 20%
B)40%
C) 50%
D) 100%
Answers
Calculate the curved surface area of a cylindrical drum whose dimensions are diameter 5cm, height 30cm
Answers
Answer:
150[tex]cm^{2}[/tex]
Step-by-step explanation:
Curved surface area of a cylinder = 2[tex]\pi rh[/tex]
Radius=[tex]\frac{5}{2}\\[/tex]cm
Height=[tex]30[/tex]cm
Curved surface area of a cylinder=[tex]2\pi rh[/tex]
= 2 x [tex]\frac{5}{2}[/tex] x 30
= 150 [tex]cm^{2}[/tex]
If A = ½ bh, what is the value of A if b = 5 and h = 8? Please help!!!!
Answers
Answer: 20
Work: A = 1/2 bh
A = 1/2 (5(8))
A = 1/2 (40)
a = 20
plz mark brainliest
Answer:
A = 20Step-by-step explanation:
[tex]A = \frac{1}{2} bh [/tex]
when
b = 5
h = 8
Substitute the values of b and h into the above formula
That's
[tex]A = \frac{1}{2} (8)(5) \\ A = \frac{1}{2} \times 40 [/tex]
We have the final answer as
A = 20Hope this helps you
To make a bow out of ribbon, Carrie needs 1
1
4
yards of ribbon. If Carrie bought 8
3
4
yards of ribbon at a sale, how many bows could she make?
Answers
Answer:
7 bows
Step-by-step explanation:
I will assume that the numbers are [tex]1\frac{1}{4}[/tex] and [tex]8\frac{3}{4}[/tex]. To find the answer, we can do:
[tex]8\frac{3}{4} / 1\frac{1}{4}\\ = \frac{35}{4} / \frac{5}{4} \\= \frac{35}{4} * \frac{4}{5}\\= \frac{35}{5}[/tex]
= 7 bows
Question 3
1 pts
2 and -2 are 4 units apart on the number line.
True
False
Answers
^ ^ ^ ^
<—|——|——|——|——|—>
-2 -1 0 1 2
The 4 arrows above the number line represents the distance between 2 and -2 which is 4!
Leah rides her bike to school a total of 80.75 miles per week. The miles (m) she rides in one day can be calculated using the equation below.
5m=80.75
Answers
Answer: 16.15
Step-by-step explanation:
Divide by 5 on both sides
m=16.15
there are twelve months in every year. The number of years is x. The number of months is y.
Answers
Answer:
12x = y
Step-by-step explanation:
12 months per x
12x
this means
12x = y
Hope that helped!!! k
40 POINTS
Which equation represents the graph below?
10-
H>
10 х
-10
-5
5
in
-10
N
x + 2y = 6
-2x + y = 1
-2x + 4y = 8
2x + 4y = 8
Answers
Answer:
I can't understand how you wrote the question try writing it again so I can help
Use the graph of the function. Determine Over what interval(s) the function is positive or negative.
Answers
Answer:
I can't see the numbers well, but the graph is decreasing from (-inf, minimum) and increasing from (minimum, inf). The minimum is the vertex. Hope this helps!
Step-by-step explanation:
The cost of 16 television sets is $640,160. What is the cost of 1 television set? (Round off the amount to the nearest thousand and then calculate.)
Answers
Answer:
$40000
Step-by-step explanation:
640160≈640000
640000/16=40000
I can someone help me Solve for x.
Answers
Answer:
9
Step-by-step explanation:
They are similar triangles. Since 6 is 1.5 times the four, x has to be 1.5 times the 6.
6*1.5=9
Evaluate the expression when a = 4 and y=-4.
-a + 6y
Answers
Answer:
-28
Step-by-step explanation:
insert the values
-a + 6y
-(4) + 6(-4)
-4 +(-24)
-4-24
-28
The table represents the observed number of leaves y on x branches of a tree. Calculate the rate of change between 3 and 4 branches.
x y
2 42
3 75
4 100
5 119
What is the rate of change?
Answers
Answer:
25Step-by-step explanation:
The rate of change of number of tree y on x branches of a tree is expressed as shown;
m = Δy/Δx where;
m is the rate of change
Δy is the change in number of leaves between 3 and 4
Δx is change in number of branches between 3 and 4
m = Δy/Δx = y₂-y₁/x₂-x₁
From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3
m = 100-75/4-3
m = 25/1
m = 25
Hence the rate of change between 3 and 4 branches is 25
Eli has a number cube. Each side has a different number: 1, 2, 3, 4, 5, or 6. Eli will roll the number cube once. What is the probability he will roll a 4?
Answers
Answer:
E. is the correct^
Step-by-step explanation:
A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain.
Answers
Answer:
No, [tex] 9^2 +7^2 \neq 12^2 [/tex]
Step-by-step explanation:
[tex] 9^2 +7^2 = 81+ 49 =130...(1)[/tex]
[tex] 12^2 = 144...(2)[/tex]
From equations (1) & (2) it is obvious that:
[tex] 9^2 +7^2 \neq 12^2 [/tex]
Thus, the given is not a right triangle.
Can y’all help me I don’t wanna fail math❣️???!!!
Answers
Answer:
1/3
Step-by-step explanation:
3 pears / 9 apples
simplified: 3/3 / 9/9
= 1/3
A closed cylindrical tank of radius 1.50m and height 300cm, is made from a metal sheet. How much sheet is required?
Answers
Answer: 13.5π≈42.41
Step-by-step explanation:
Basically it is asking for the circumference of this cylinder.
#1 Find the circumference of the circle base
Formula to use: 2πr
2πr=2π(1.5)=3π
---------------------------
#2 Find the area of the circle base
Formula to use: πr²
πr²=π(1.5)²=2.25π
--------------------------
#3 Find the area of body of the cylinder
Formula to use: lw
300cm=3m
l (length)= 3π (since the body of the cylinder the basing on the circumference of the circle base)
w (width)= 3
lw=3π×3m=9π
----------------------------
#4 Add all of them together
There are 2 base and one body
2.25π×2+9π=13.5π
Name the set(s) of numbers to which -1/3 belongs
Answers
Answer:
Rational numbersReal numbersStep-by-step explanation:
The number -1/3 belongs to the set of rational numbers.
A number -1/3 is given in the question.
We have to find out that this number belongs to which set of numbers.
What is a rational number ?
A rational number is one which can be expressed as fraction p/q of two integers where p is a numerator and q is a non-zero denominator i.e., q ≠ 0.
Let's check -1/3 belongs to which set,
We know that ,
Natural numbers are the counting numbers , so -1/3 can't be a natural number.
Also ;
-1/3 can't be a irrational number because as this number is a finite number.
Let's check if it is a rational number ;
We know that rational number can be expressed in form of p/q.
Hence ;
[tex]\frac{p}{q}[/tex] = [tex]\frac{-1}{3}[/tex] , where ; p = -1 and q = 3 i.e., q ≠0
Thus , the number -1/3 belongs to the set of rational numbers.
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What is the solution to 5(2x−2)=30? solve for x
Answers
Answer:
x=4
Step-by-step explanation:
5(2x-2)=30
divide both sides
2x-2=6
move the constant to the right
2x=6-2
caculate
2x=8
divide both sides
x=4
Solve for x:
3/4 + 2/3 + 8/9 = 2 x/36
Algebra 2
Answers
Answer:
x = 11
Step-by-step explanation:
Steps as below:
3/4 + 2/3 + 8/9 = 2 x/363*9/4*9 + 2*12/3*12 + 8*4/9*4 = 2 x/3627/36 + 24/36 + 32/36 = 2 x/3683/36 = 2 x/362 11/36 = 2 x/36x= 11Write the equation of the line that is parallel to the line y=−74x−2
y
=
−
7
4
x
−
2
through the point (4,-2).
Answers
Answer:
The answer is
y = 74x - 298Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line parallel to the equation above we must first find the slope of the above equation
y = - 74x - 2
Comparing with the above formula
Slope = - 74
Since the lines are parallel their slope are also the same
Slope of parallel line = - 74
Equation of the line using point (4 , -2) and slope - 74 is
y + 2 = 74( x - 4)
y + 2 = 74x - 296
y = 74x - 296 - 2
We have the final answer as
y = 74x - 298Hope this helps you
Answer:
y= -7/4x+5
Step-by-step explanation:
I got it correct on founders edtell
Which pairs of angles in the figure below are vertical angles?
Check all that applies
Answers
Answer:
A and C
Step-by-step explanation: