Mathematics High School

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) =

The Graph Shown Here Is The Graph Of Which Of The Following RationalfunctionsO A FO) = 2-3x+3OB. AB)

Answers

Answer 1

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

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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help pls! no explanation needed just the answers :)

Answers

Answer: A

13+4=17

Step-by-step explanation:

I want Brainlist

PLEASE HELP !!!! Give an example of

Answers

Q. A rental car agency charges $30 per day plus 10 cents per mile to rent a certain car. Another agency charges $20 per day plus 15 cents per mile to rent the same car. If the car is rented for one day in how many miles will the charge from both agencies be equal?
A. Recall: 10 cents = 0.1$, 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.

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

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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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

Please helppp due soon

Answers

Answer:

Step-by-step explanation:

area= 9*9*3.14=254.34

c=18*3.14=56.52

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

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

2. Find the Surface Area 13 cm 5 cm 8 cm 12 cm​

Answers

Answer:

I got 270cm!

Hope this helped!

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

:)

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

41 ? Because its the same angle just facing a different way

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

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

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:

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.

Help please I would appreciate it

Answers

Answer:

A

Step-by-step explanation:

see attached .

hope it's helps .

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:

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

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

Help please it’s timed

Answers

Answer: a

Step-by-step explanation:

someone help!! quick!

Answers

Answer:

(1,9/2) and (-2,1/2)

Step-by-step explanation:

because

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

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??

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

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.

what is the equation of the line that passes through the point (-6,-5) slope of 3/2?​

Answers

It is y=3/2x+b
-5=3/2(-6)+b
-5=-9+b
4=b

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.

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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

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