The graph shown here is the graph of which of the following rational
functions
O A FO) = 2-3x+3
OB. AB) = x= 1962–31x-3
x-2
O C. FX) =
Answers
Given:
The graph of rational function.
To find:
The rational function.
Solution:
If the graph of a rational function has a vertical asymptote at [tex]x=a[/tex], then [tex](x-a)[/tex] must be a factor of the denominator of that rational function.
From the given graph it is clear that the graph has two vertical asymptotes. One is at [tex]x=-1[/tex] and another one is at [tex]x=3[/tex].
It means, [tex](x-3)[/tex] and [tex](x+1)[/tex] are the only two factors of the denominator of the rational function.
In option A, the factors of the denominator are different from [tex](x-3)[/tex] and [tex](x+1)[/tex] .
In option B, the denominator has an extra factor [tex]x-2[/tex].
In option C, the denominator has only two factors [tex](x-3)[/tex] and [tex](x+1)[/tex].
Therefore, the correct option is C.
Related Questions
In 1947, milk cost $0.75 per gallon and bananas cost $0.15 per pound. Donna bought two gallons of milk and some bananas for a total of $2.25 in 1947. How many pounds of bananas did she buy?
Answers
Answer:
Answer is 5 pounds of bananas
Step-by-step explanation:
Required milk:
Milk= 2 gallons
Milk cost per gallon=$0.75
so,
2*0.75
$ 1.5
total amount =$2.25
to calculate bananas
$2.25-$1.5=$0.75
per pound cost of bananas =$0.15
$0.75/$0.15
5 pounds of bananas
Dona bought 5 pounds of banana and 2 gallons of milk for a total of $2.25.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, In 1947, milk cost $0.75 per gallon and bananas cost $0.15 per pound.
Let,The cost of one gallon of milk is 'x' dollars and the cost of one pound of banana is 'y' dollars.
Also given Donna bought two gallons of milk and some bananas for a total of $2.25.
Therefore, 2(0.75) + 0.15y = 2.25.
0.15y = 2.25 - 1.5.
0.15y = 0.75.
y = 0.75/0.15.
y = 5.
So, Dona bought 5 pounds of bananas.
learn more about linear equations here :
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A polynomial of degree 3 is multiplied by a polynomial with of degree 5
What is the degree of the product?
A. 2
B.8
C.15
D. The degree could vary based on the polynomials
Answers
Answer:
B.8
Step-by-step explanation:
The degree of a polynomial refers to the term with the highest exponent. Thus the highest exponent in a degree 3 polynomial is x3; for a degree 5 polynomial, it's x5. When you multiply
x3*x5 = x3+5 = x8.
So the product of a degree 3 polynomial and a degree 5 polynomial is a degree 8 polynomial.
Your leading term will result from the 3-degree term of the first polynomial, and the 5-degree term of the second. So you'll have something like ax3 * bx5. That will result in x3*x5=x8, so your product will have degree 8.
1. The midsegment of a trapezoid is half the sum of the bases.
true or false ?
Answers
Answer:
TRUE
Step-by-step explanation:
TRUE
Therefore, the given statement "The midsegment of a trapezoid is half the sum of the bases" is True.
What is a trapezium?A trapezium is a quadrilateral with two parallel sides. It has two non-parallel sides that are called the legs of the trapezium, and the other two sides are called the bases.
The midsegment of a trapezoid is a line segment that connects the midpoints of the two non-parallel sides of the trapezoid. Since the midsegment connects the midpoints of the two non-parallel sides, it will always have the same length as half the sum of the two bases.
Therefore, the given statement is True.
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pls do with the working
Answers
Answer:
2) 70,000
Step-by-step explanation:
since they have said estimate meaning frist round off
679 rounds up to 700 and 98 rounds up to 100
700×100
70000
Find f(4) for the following function: *
Enter your solution in the following format f(4) = solution. (Ex: f(4) = 5)
f(x)=5(x-7)+14
Answers
Answer:
f(4) = - 1
Step-by-step explanation:
To evaluate f(4) substitute x = 4 into f(x) , that is
f(4) = 5(4 - 7) + 14 = 5(- 3) + 14 = - 15 + 14 = - 1
PLEASE HELP !!!! Give an example of
Answers
A. Recall: 10 cents = 0.1$, 15 cents = 0.15$
If you rent a car from the first car agency your cost for the rental will be:
(1)
If you rent a car from the second car agency the total amount of money to pay is:
(2)
Given that the problem says you want to rent the car just for one day, then D = 1, therefore:
First agency:
Second agency:
At some number of miles driven the two costs will be the same:
Solving for M:
There is a representation of this problem in figure 4. Up until you drive 200 miles you would save money by going with the second company.
Please helppp due soon
Answers
Answer:
Step-by-step explanation:
area= 9*9*3.14=254.34
c=18*3.14=56.52
Two students, Jason and Hannah, line up one behind the other. How many different ways can they stand in line?
Answers
Answer:
2
Step-by-step explanation:
2. Find the Surface Area 13 cm 5 cm 8 cm 12 cm
Answers
Answer:
I got 270cm!
Hope this helped!
Find the mean absolute deviation of the data set.
2, 4, 6, 3, 7
A. 1.68
B. 4.4
C.4
D.2.1
Answers
Answer:
the mean deviation is 1.68
Tell whether the angles are complementary or supplementary. Then find the value of $x$ . A ray intersects two other rays forming a right angle. The angles formed after the intersection is x degrees and left parenthesis x minus 20 right parenthesis degrees.
Answers
The measure of the value of x is 55°.
We have,
Complementary angles are two angles that add up to 90 degrees.
Supplementary angles are two angles that add up to 180 degrees.
Now,
The ray intersects two other rays forming a right angle.
This means,
It is a complementary angle.
i.e
x + (x - 20) = 90
x + x - 20 = 90
2x = 90 + 20
2x = 110
x = 55°
Thus,
The measure of the value of x is 55°.
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Johnny's father made a deal with him. He would pay him 30 cents to work for him the first day and double the amount every day.
Answers
Answer:
wow Johnny is going to be a million-are by the end of the year :) lol
Step-by-step explanation:
Have a nice night mate
:)
mark brainliest please :)
Answer:
I.d.k wut the question is asking but...
Step-by-step explanation:
30 cents a day then for every day he adds on so day 1 = 30 cents
Day 2 will be 60 cents day 3 would be 90 cents and so on just keep adding 30 cents per day Hope this helps if i didnt answer wut you were asking comment wut you were looking for and i will gladly help :D
In ΔUVW, w = 7.1 inches, v = 6.7 inches and ∠V=123°. Find all possible values of ∠W, to the nearest 10th of a degree.
Answers
Answer:
No Possible Triangles
Step-by-step explanation:
DeltaMath answer
Convert 6 and 1/4 to an Improper Fraction.
Answers
Answer:
25/4
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
4 × 6 = 24
Step 2
Add the answer from Step 1 to the numerator
24 + 1 = 25
Step 3
Write answer from Step 2 over the denominator
Hope it helps :)
Answer:
25/4
Step-by-step explanation:
(6*4)+1
In Livingston the library is 8 miles due south of the courthouse and 15 miles due west of the community swimming pool what is the distance between the courthouse and the current community swimming pool
Answers
Answer:
pic
Step-by-step explanation:
Which expression is equivalent to 4(23)?
4(2+3)
4(20+30)
4(2+13)
4(20+3)
Answers
Answer:
4(20+3)
Step-by-step explanation:
you can just add 20+3 to make the (23) part of the equation it's very simple dont make it complicated luv
The sum of David's weight and Mike's weight is 180 pounds. If you subtract David's weight from Mike's weight, you get half of Mike's weight. How much does Mike weigh?
Answers
Answer: 120 Pounds
Step-by-step explanation:
Given
The Sum of David and mike weight is 180 pounds
Suppose the weight of David is x and the weight of mike is y
So, [tex]x+y=180[/tex]
Also, subtracting David's weight from Mike's weight, we get half of Mike's weight
[tex]\Rightarrow y-x=\dfrac{y}{2}\\\Rightarrow 2x=y[/tex]
Put the value of x in the above equation, we get
[tex]\Rightarrow 1.5y=180\\\Rightarrow y=120\ pounds[/tex]
Thus, mike Weighs 120 Pounds
Number 24! Please I really need it!
Answers
Answer:
Step-by-step explanation:
since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore ∠2 ≈ ∠3
:)
Find the perimeter
~~~~~~~~~~~~~~~~~~~
Answers
Answer:
P = 2x^3 + 14x^2 + 8x + 6
Step-by-step explanation:
The perimeter of this figure is P = 2W + 2L, or, in this specific case,
P = 2(7x^2 + 4x + 3) + 2(x^3), which, when expanded, comes out to:
P = 14x^2 + 8x + 6 + 2x^3, or, in standard form:
P = 2x^3 + 14x^2 + 8x + 6
61 = m + - 8 what would be m
Answers
Answer:
m would be 69!
Step-by-step explanation:
61 = m - 8
61 + 8 = m - 8 + 8
69 = m
Answer: 69
Step-by-step explanation:
61=m+-8
as plus minus equals to minus so its -8
61=m-8
m=61+8
m=69
help pls! no explanation needed just the answers :)
Answers
Answer: A
13+4=17
Step-by-step explanation:
I want Brainlist
Help please it’s timed
Answers
Answer: a
Step-by-step explanation:
9. An object that has traveled 400 km in 50 hours, what was the average speed?
Answers
Answer:
its 8
Step-by-step explanation:
Divide 400÷50
Help please I would appreciate it
Answers
Answer:
A
Step-by-step explanation:
see attached .
hope it's helps .
Read the following excerpt from "Steeled" and answer the question that follows.
I wasn't allowed to eat the car--my mother's rule. I'd tried, of course, very early on, when I was three, and my mother caught me in the driveway biting along piece of panel flashing my father had pried off the car and left sitting on the pavement . . . . It was only for him to do, he said; it was not for children.
Which sentence best explains the effect of surrealist elements in this passage?
PLS HELP ME
They manage to create an entirely magical, fantastical world that is nonetheless believable.
They seem to symbolize something that the characters find disturbing or troubling.
They cause the story to break all the rules of narrative, such as plot development.
They suggest a world in which everything is possible and the laws of nature are different.
Answers
Answer:
They manage to create an entirely magic, fantastical world that is nonetheless believable.
Step-by-step explanation:
I think it is think one eating a car is pretty much impossible. But if it's magical and fantasy, it could be. I think the answer is A
Answer:
This answer is the second choice, They seem to symbolize something that the characters find disturbing or troubling.
Step-by-step explanation:
I just took he quiz and this was the answer, Hope this helps :)
Brainliest??
Determine the measure of angle b using the photo.
Answers
Answer:
m<b = 41
Step-by-step explanation:
<b = 41 because of vertical angle thm
someone help!! quick!
Answers
Answer:
(1,9/2) and (-2,1/2)
Step-by-step explanation:
because
what is the equation of the line that passes through the point (-6,-5) slope of 3/2?
Answers
-5=3/2(-6)+b
-5=-9+b
4=b
Hilary made an origami dog. What is the area of the
parallelogram highlighted in the origami figure?
Answers
Answer: 9.44 cm
Step-by-step explanation:
A = b × h
A = 4 × 2.36
A = 9.44 cm
To find the area of a parallelogram, the formula to use is A = b × h.
Let f(x)=x^2+2 and g(x)=1-3x Find each function value. f(g(-4))
Answers
Answer:
171
Step-by-step explanation:
First you plug -4 into the g(x) equation
g(-4)= 1-3(-4)
Use pemdas
g(-4)= 1+12
g(-4)= 13
Next you plug 13 into the f(x) equation
f(13)= 13^2 + 2
First you do 13^2=169
Add 2 and you get 171