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

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

Answers

Answer:

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!

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

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 :)

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

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.

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

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:

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

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

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

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:

Step-by-step explanation:

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

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:

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!

(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:

PLz help i dont want to fail

Answers

Answer:

Step-by-step explanation:

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:

Step-by-step explanation:

delta math

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.

help plz plz plz plz

Answers

Answer:

2.8 In is the answer to the question

Step-by-step explanation:

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.

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

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

Answers

Answer:

point slope form: (5,3)

equation form: X=5, Y=3

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