Which of the following rational functions is graphed below?

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

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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]

Use a single digit times a power of 10 to estimate the number 0.00002438 .
Rounded to the nearest ​, the number 0.00002438 is wut i will give you brainliest

Diana received $675.00 as an incentive for winning the
7th grade writing competition. She spent $405.00 for a
new phone. What percentage of her incentive did she
use for her phone?

Can someone please help me on these?

Someone help
Which is the correct algebraic expression for each phrase? 15 miles less than Devra biked
A. d + 15
B. d – 15
C. 15 – d
D. 15 + d

What school subject is a witch good at?

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.


A.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –23; n + 4 = –25; n + 6 = –27

B.
n + (n – 2) + (n – 4) + (n – 6) = –72; n = – 21; n – 2 = –23; n – 4 = –25; n – 6 = – 27

C.
n – (n + 2) – (n + 4) – (n + 6) = –72; n = –20; n + 2 = –18; n + 4 = –16; n + 6 = –14

D.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –19; n + 4 = –17; n + 6 = –15

Suppose there are 21 students in your class. If the teacher draws 2 names at random, what is the probability that you and your best friend will be chosen?


1/20

1/105

1/210

2/21​

Abakery can make 100 pies in 2 hours.
How many hours will it take, if they
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PLEASE HELPP
in the table, y is a linear function of x. what is the value of y when x=0

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y = 2x
-6x + 3y = 16
Solve please

I need help with this please!! ​

Help as quick as possible plz :(

The graph represents a function related to a train's movement over time.
12
11
10
9
8
6
5
4
2
0 1 2 3 4
7 8 9 10 11 12
Time
Which function could this graph represent?
A.
the speed of a train as it decreases its rate of acceleration
B.
the speed of a train as it slows down when approaching a station
C.
the distance of a train from a station it has departed as it accelerates
D.
the distance of a train from a station it approaches at a constant speed

Roberto wrote the pattern shown below. What is the rule for following Roberto's pattern?
96, 48, 24,12

A. subtract by 48
B. divide by 2
C. multiply by 2
D. subtract by 42

Aaron has three slabs of beeswax. He plans to melt them and use all of the wax to form 36 candles. If all the candles are the same size and weight, how much will each candle weigh?

What is the length of side ab
-6
-12
-9
-8

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x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)

hi someone please help this is really urgent !!!

picture is attached pls help <3

Which of these steps will eliminate a variable in this system?
6x - 3y = 8
23 + 6y = 16
A. Multiply the first equation by 2. Then subtract the second equation
from the first
B. Multiply the second equation by 3. Then add the equations.
C. Multiply the second equation by 2. Then add the equations.
D. Multiply the second equation by 3. Then subtract the second
equation from the first.

Please Help Me T_T
I really need help I don't understand this

1. If the point (-5, -3) is translated 4 units to the right and 3 units down, what are the coordinates
of the new point? Write the algebraic expression that represents the translation.

The figure below is divided into 100 small squares of equal size.
How much of the figure is shaded?
Give the amount as a fraction and as a decimal.

Choose the equation of the line through (4, -5) and perpendicular to 6x + 12y = 13.
A.y=-1/2x-3
B. y=1/2x-7
C. y=2x-13
D. None of these​

2. The temperature during the night dropped 2 degrees every hour. How many degrees did the temperature drop altogether after 3 1/4 hours? Be sure to show your work!

What is the area of a 3/4 yards and 5/6 yard rectangle?

Solve the following equation:
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