Which of the following rational functions is graphed below?

Which Of The Following Rational Functions Is Graphed Below?

Answers

Answer 1

Answer: Choice C [tex]f(x) = \frac{1}{x(x+4)}[/tex]

========================================================

Explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

The vertical asymptote is due to a division by zero error.

When x = 0, the denominator x(x+4) turns into 0 since

x(x+4) = 0(0+4) = 0*4 = 0

Similarly, when x = -4, the denominator is also zero

x(x+4) = -4(-4+4) = -4*0 = 0

So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.

This is why the answer is choice C. [tex]f(x) = \frac{1}{x(x+4)}[/tex]


Related Questions

Pls help ASAP. Help pls

Answers

Answer:

x = 16

Explanation:

Replace x with 16
Divide 16 with 2 and u get 8
8 + 17 = 25

Answer:

8

Step-by-step explanation:

x=25-17

x=8

don't forget to collect like terms

Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *

a,38.29
b.27.29
c.0.55
d.0.45

Answers

The answer is c - 0.55

A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year.

(Please dont just give the answer. I would appreciate it if you would put how to find the answer. Thanks )

Answers

Answer: x/100 = 96 - 80/80

so you multiply 80 times x and multiply 96-80 by 100 so

80x=1600

x= 20%

Step-by-step explanation:

In a bike race Tim rode 7 1/4 miles his teammate Bill rode 8 7/8 how many miles did they ride in all​

Answers

so you add the miles together and you would get 16 1/8 you add the whole numbers and get 15. you have to change the denominator to equal the same thing so it would change to 2/8 instead of 1/4 and then add it up and get 9/8 so you add a whole number and left with 1/8 and the answer is 16 1/8

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are
tangent.

A) 215°
C) 252°
B) 220°
D) 205°

Answers

C is that right answer hope this helps

b²=-10 + 7b
How do I solve this?

Answers

Answer:

B1=2 B2=5

Step-by-step explanation:

Answer:

I think I might be wrong also

Step-by-step explanation:

hope you like my answer

Num. 5 ~p l e a s e ~ h a l p~

Answers

B is the correct answer

PLz help i dont want to fail

Answers

Answer:

D

Step-by-step explanation:

Which ordered pair named the location of Melinda's house?




A. (4, -3)
B. (2,3)
C. (-4, -3)
D. (3, 2)



PLEASE HELP​

Answers

Answer:

B

Step-by-step explanation:

please help ill give you brainliliest

Answers

Answer:

69

Step-by-step explanation:

its just an estimate

Answer:

72 degrees

Step-by-step explanation:

There are 180 degrees in a triangle. 59+49=108. 180-108=72!

I hope this helps!

ill give brainly if right!!

Answers

Answer:

The weight of square is 8 grams.

Step-by-step explanation:

Given that,

The weight of the circle = 2 grams

The weight of the triangle = 4 grams

We need to find the weight of the square. Let the weight of each square is w.

On LHS, 2 circles and 4 squares are there.

On RHS, 2 squares, 4 triangles and 2 circles are there.

For a balanced position,

Weight on LHS = Weight on RHS

[tex]2\times \text{weight of circle}+4\times \text{weight of squares}=2\times \text{weight of squares}+4\times \text{weight of triangles }+2\times \text{weight of circle}[/tex]2(2)+4(w) = 2(w) + 4(4) +2(2)

4 + 4w = 2w +16 +4

4w-2w = 20-4

2w = 16

w = 8

So, weight of square is 8 grams.

(2, 5) and (-4, 5)
If these points are graphed on a coordinate plane, what is the distance between them, in units?

Answers

Answer:6 units

Step-by-step explanation:

This graph shows the solution to which inequality?
5
(3,2)
5
(-3,-6)
O A. yx-2
OB. ysx-2
O c. y< x-2
OD. y -2

Answers

Answer:

letss seeee

Step-by-step explanation:

c.

The graph shows the solution to y ≥ 2 and y < x inequality.

we have:

y ≤ 2

y ≥ 2

x > 2

y > 2

The graph is limited by a line; y = 2 (red line).

The part corresponds to the part in which y > 2.

The line is continuous, so 2 is also included in the interval

y ≥ 2

Then to find if it is "less than" (<) or "less than or equal to" (≤):

Since the line that limits this interval. The line is y = x, it is a dotted line, the extreme is not included.

In summary:

y < x

Answer is B. y ≥ 2 and y < x

Learn more about inequality ;

brainly.com/question/14164153

#SPJ7

AHHHHHHhh asap plz answer!!

Answers

number one because if you do the math it's the o nly one that's different

Answer: 4 : 15

Step-by-step explanation:

The unit ratio of 2 : 8 is 1 : 4

The unit ratio of 5 : 20 is 1 : 4

The unit ratio of 3 : 12 is 1 : 4

However, the unit ratio of 4 : 15 is 4 : 15

Hope this helped!

Write an equation of the line that passes through the given point and has the given slope. (6, 4); slope -3/4​

Answers

Answer:

y=-3/4x+17/2

Step-by-step explanation:

the equation for slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

since we know the slope of the line, we can substitute it into the equation

y=-3/4x+b

we need to find b though.

since the equation will pass through the point (6,4) that means that if we plug it into the equation, it'll be a true statement; in this case, we can use it to solve for b.

substitute (6,4) into the equation

4=-3/4(6)+b

multiply

4=-9/2+b

17/2=b

the y intercept is 17/2

therefore the equation of the line is y=-3/4x+17/2

hope this helps :)

An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length 1/3 in. and width 1/6 in. The actual tiles have length 1/2 ft and width 1/4 ft. What is the ratio of the length of a tile in the model to the length of an actual​ tile? What is the ratio of the area of a tile in the model to the area of an actual​ tile? Use pencil and paper. Describe two ways to find each ratio.

Answers

Sssssssdddsdddsss Question

Answer:

1/8 and 1/324

Trigonometric identities assignment 4

Simplify 5 sin ø sec ø

A. 5 cot ø
B. 5
C. 5 cos ø
D. 5 tan ø

Answers

Answer:

Answer: choice D.

Step-by-step explanation:

Trigonometric Functions

We need to recall some properties and definitions of the trigonometric functions.

[tex]\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}[/tex]

[tex]\displaystyle \sec \theta=\frac{1}{\cos\theta}[/tex]

We need to simplify the following expression:

[tex]5\sin\theta\sec\theta[/tex]

Substituting the identity for the secant:

[tex]\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}[/tex]

Operating:

[tex]\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}[/tex]

Substituting the definition of the tangent:

[tex]\displaystyle 5\sin\theta\sec\theta=5\tan\theta[/tex]

Correct choice D.

If f(x) = 3x-2, find f(8) - f(5)

Answers

Answer:

9

Step-by-step explanation:

f(8)=3(8)-2=22

f(5)=3(5)-2=13

22-13=9

Answer:

f(8) - f(5) = 9

Step-by-step explanation:

So our function is:

f(x) = 3x - 2

Therefore, f(8) becomes:

f(8) = 3(8) - 2 = 24 - 2 = 22

And f(5) is:

f(5) = 3(5) - 2 = 15 - 2 = 13

Finaly, f(8) - f(5) is therefore:

22 - 13 = 9

So f(8) - f(5) = 9

Hope this helps!

In ΔJKL, j = 9.6 inches, k = 6.4 inches and l=8.4 inches. Find the measure of ∠K to the nearest degree.

Answers

Answer:

41

Step-by-step explanation:

delta math

ANSWER AND I WILL GIVE BRAINILIEST!!!!!!!!!

Pearl and Destiny went shopping at New Fashion Shop. Everything in the store was at a 30% discount. Pearl found a dress that was originally $65.00. What was the sale price?

Answers

Answer:

$45.50

Step-by-step explanation:

Multiply 65 and .30 and you will get how much the dress is off. Then you take 65 and subtract 19.50 and you will get the answer of 45.50

i believe it would be $45.50

apologies if it’s incorrect.

Did I get this correct

Answers

Answer:

Yep

Step-by-step explanation:


Which graph represents functions ?

Answers

graph b and d

hope this helps!
Graphs “B” and “D” both represent a function.

Solve y3 = 64.

A.
y
=
6
4
3
y=
3
64


B.
y = 8

C.
y = 16

D.
y = 4

Answers

y= 64/3
I used an online calculator to find the answer

help plz plz plz plz

Answers

Answer:

2.8 In is the answer to the question

Step-by-step explanation:

Nw+WD=ND

(-5x + 14y =17
( 9x - 6y = 27
solve by elimination

Answers

Answer:

point slope form: (5,3)

equation form: X=5, Y=3

I need help, my teacher didnt teach up this​

Answers

Answer:

The volume is 1539.38

Step-by-step explanation:

Answer:

384.7 cubic inches

Step-by-step explanation:

formula to find Volume of a Cylinder:  

V = π · r² · h

7 is the diameter, so r = 3.5

V = π (3.5)² · 10

V = π (12.25)(10)

V = π · 122.5

V ≈ 384.7 in³

Find the length of segment FG.

Answers

Answer:

54

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated

HELP FAST PLEASE I'LL MARK YOU BRAINLIEST

Which equation represents the line that is perpendicular to y = 3x + 5 and passes through the point (-3, -4)?

1. y = (2/3)x − 5
2. y = −5x − (1/3)
3. y = (1/3)x − 5
4. y = −(1/3)x − 5

Answers

Answer: y = -1/3x -5 (4th option is correct)

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal --> -1/3Find b.-4 = -3(-1/3) + b-4 = 1 +b-5 = b

An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?

x3 feet
5 + 11x2 feet
5x2 + 11 feet
5x3 + 11x5 feet

Answers

Answer:

The correct answer is D: 5x3 + 11x5 ft

Step-by-step explanation:

Answer:

The correct answer is D: 5x3 + 11x5 ft

Step-by-step explanation:

There are 3 feet in 1 yard.Find the number of feet in a 15 yard run by a football player.

Answers

Answer:

45

Step-by-step explanation:

15*3=45

Answer:

45

Step-by-step explanation:

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