at which values of x does the graph of f(x)=x^2-x-2/(x^2-1)(x^2-16) have a vertical asymptope? check all that apply

Answers

Answer 1

Answer:

x = -4, 1, 4

Step-by-step explanation:

The function is given as:

f(x) = (x² - x -2)/[(x² - 1)(x² -16)]

We want to find the values of x where the graph will have vertical assymptote.

Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.

Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.

We have;

[(x² - 1)(x² -16)] = 0

Thus,

x² - 1 = 0

Or

x² - 16 = 0

So;

x² = 1

x = √1

x = 1

Or

x² = 16

x = ±√16

x = ±4

Values of x that give vertical assymptote are;

x = -4, 1, 4


Related Questions

What is the standard form of y-7=-2(x+1)

Answers

The standard form is 2x+y=5

Will give brainliest foe correct answer

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Answer:

true

Step-by-step explanation:

If someone can just answer the first question that would be so helpful plzzz

Answers

Answer:

I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.

Step-by-step explanation:

Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation.

-1.79, 2, 2.54, -4

Answers

Answer:

-4,-1.79,2,2.54

Step-by-step explanation:

You'll have to do the explanation yourself, but here are a few pro tips!

-Explain which numbers are farthest from 0.

-Explain where each number will go on the plot.

-Use words like farthest, less than, greater than, negative, and integer.

-Make your explanation at least 2 sentences long!

You got this, I know you can do it-! Have a meme to help! <3

bro I'm really stuck with this, and my brain cells are too small to figure this. out, can someone help me? thank you :)

Answers

The answer is B because you’d have to cancel out the 4 then add it to 18, since the 4 was negative

Answer:

B

Step-by-step explanation:

First isolate the variable, x. To do this, use inverse operations. The inverse operation of -4 is +4. So, add 4 on both sides of the equals sign. The positive 4 cancels out the negative 4 on the left side. Add 4 to the other side, -18, for -14. You are left with 7x = -14. Now to get rid of the coefficient, 7. The inverse of x7 is ÷7. So divide 7x by 7 to completely isolate x. On the right side, -14 is divided by 7 to get -2. You are left with x = -2. Wow that was a ted talk :P Anyway, hope this was helpful ^^ lmk if I need to clarify about anything :D Good day man

Solve 4e^1+3x-9e^5-2x=0

Answers

Answer:

its 24x trust me I did this

What is the value of |5| - | -5| - (-5)? The solution is​

Answers

Answer:

5

Step-by-step explanation:

when we simplify it we get 5-5+5 which equals 5

6x2 + 7x - 49
What is the answer

Answers

Answer:-

Step-by-step explanation:

Answer:

7x - 37

Step-by-step explanation:

State the transformation(s) from the parent function f(x).
will mark as branliest

Answers

Answer:

Try C and see if it works, but read info below

Step-by-step explanation:

Refer to the equation y=a(x-h)^2+k

If a>0 then the parabola opens up and horizontally compresses (shrinks)

If 0<a<1 then the parabola opens up and horizontally stretches

If a<0 then the parabola opens down and horizontally compresses (shrinks)

h is the horizontal shift (along the x-axis)

k is the vertical shift (along the y-axis)

Given the function f(x)=3(x+1)^2-2, we can identify the values:

a=3, so the parabola opens down and horizontally compresses (shrinks) by a factor of 3

h=-1, so the horizontal shift is one unit to the left

k=-2, so the vertical shift is 2 units down

Given the above information, none of the answer choices are correct unfortunately. Your best option to pick is C.

A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48

Answers

Answer:

b

Step-by-step explanation:

The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, a motorboat moves across a lake at a constant speed.

Let x be the number of minutes and y be the total distance.

When it begins, it is 48 km from the shore.

Now, (x₁, y₁) =(0, 48)

After 10 minutes, it is 18 km from the shore.

So, (x₂, y₂) =(10, 18)

We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)

= (18-48)/(10-0)

= -30/10

= -3

Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get

48=-3(0)+c

c=48

Substitute, c=48 and m=-3 in y=mx+c, we get

y=-3x+48

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

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Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?

Answers

Answer:

252 miles

Step-by-step explanation:

Please help me if u know

Answers

Answer: x = [tex]\frac{3+\sqrt{21} }{4}[/tex]

              x = [tex]\frac{3-\sqrt{21} }{4}[/tex]

Step-by-step explanation:


HELP PLEASE THIS IS MY 3RD TIME POSTING THIS QUESTION PLEASE HELP

Answers

Answer:

11 1/2

Step-by-step explanation:

cause no one wana take the time to help u they not cool brainliest pls pls pls

Answer:

11 1/2 t just did this problom

Step-by-step explanation:

A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST

Answers

Answer:

13 so yeah it correect

Who gets this correct gets the brainliest answer​

Answers

Answer:

(-1,3) (0,-2) are two points that the line goes directly through. count the rise/run from the point furthest left to the one further right. you go down 5 and right 1. since you had to go down to get there, the slope is negative. slope is rise over run so in this case it's -5/1 or slope is = -5

to find the y-intercept, you find where the line crosses the y-axis. you find what y is when x is 0. in this case it's -2

slope = -5

y-intercept = -2

and if it asks for an equation of the line, you plug those given values above, into the slope intercept form which is : y=mx+b

where m is the slope

b is the y-intercept

the equation of this line is " y = -5x -2 "

Help please need this soon

Answers

Answer:

I'm too dum to help but thanks for the points dude

Step-by-step explanation:

Answer:

4 and 5:yes and no

Step-by-step explanation:

4.one to many is not a function

5.It is a function because it is a many to one relation

what is the LCD of 8/9 and 7/8

Answers

Answer:

72 I think

Step-by-step explanation:

I'm not 100% sure but I think its 72

Answer:

The Least Common Multiple (LCM) of 8 and 9 is 72,

and the Least Common Multiple (LCM) of 7 and 8 is 56.

The graph shows the relationship between the gallons of water a sprinkler system uses and the number of minutes the system is used.

Answers

Answer:

??? what graph

Step-by-step explanation:

A function is graphed below.



Which of the following represents the range of the function?

Answers

Answer:

el ranho de algo que esm ansgwne

Kevin went fishing and is using a scatterplot to analyze the relationship between the weight of each of the fish he caught in pounds and in kilograms. He uses the weight in pounds as the independent variable and the weight in kilograms as the dependent variable. Which statement is correct?
The points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases.
The points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms decreases.
The points on the scatterplot will go down from left to right because as the weight in pounds increases, the weight in kilograms increases.
The points on the scatterplot will go down from left to right because as the weight in pounds increases, the weight in kilograms decreases.

Answers

Answer:

The answer is A.The points on the scatter plot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases, because when the pounds (lbs.) increases, the kilograms (kg.) increase.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just did the quiz and got it right

If f(x) =2x²-x, find f(-4)-f(9)​

Answers

f(-4) = 36
f(9) = 153

The function f(x) varies inversely with x and f(x)=2 when x = 16.

What is f(x) when x = 4?

Answers

Answer: The correct answer is:  [D]:  "8" .

Step-by-step explanation:f y varies inversely with x;  then y = k/x ; with "k" being the "constant" in this equation.  

You can find the constant by substituting the values given: x = 16,  f(x) = y = 2 ;

So, f(x) = y = 2  = k/16 ;

→  2 = k / 16 ;

Solve for the constant; "k" ;

Multiply EACH SIDE of the equation by "16"

→  16* (2) = (k / 16) * 16 ;

→  32 = k ;

 ↔  k = 32 ;  

As such, we can write the equation:

y = k/ x ; as:

→  y = 32/ x ;

Since we are given:  "x = 4" ;  Plug in that value; and solve for "y" ;

y = 32/4 = 8 .

y = 8 .

y = f(x) ;

So;  f(x) = 8 ;  which is:  Answer choice:  [D]:  "8" .

Find the value for x.
5x - 12
3x + 30
48

Answers

is this the way the question is laid out? is there an equal sign anywhere

The value of x will be;

⇒ x = 3.75

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 5x - 12 + 3x + 30 = 48

Now,

Solve the expression for x as;

The expression is,

⇒ 5x - 12 + 3x + 30 = 48

⇒ 8x - 12 + 30 = 48

⇒ 8x + 18 = 48

Subtract 18 both side as,

⇒ 8x - 18 = 48 - 18

⇒ 8x = 30

Divide by 8 as;

⇒ x = 30/8

⇒ x = 3.75

Thus, The value of x will be;

⇒ x = 3.75

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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PLZZZ HELP NO ONE WILL HELP ME PLZZZZ IM GIVING 50 POINTS PLZZZZ

Answers

Using the grid u could determine that the starting point, (-5.31, 1) would be in quadrant Q and the finishing point would be quadrant S. You are able to determine this by comparing the (X,Y) values given to those of the graphs. For example , the x value of the starting point is negative which only happens in quadrant Q.

Checkpoint (5.31, 1) is different from the startpoint or (-5.31, 1) because it is positive x which puts it on the other side in quadrant P.

Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute. The winning​ car, driven by Sam​, finished in 185.29 minutes. The previous​ year's race had a mean finishing time of 110.3 with a standard deviation of 0.129 minute. The winning car that​ year, driven by Rita​, finished in 110.02 minutes. Find their respective​ z-scores. Who had the more convincing​ victory?

Answers

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

Standard deviation (s) = 0.314

Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

(185.29 - 185.64) / 0.314

= - 0.35 / 0.314

= −1.114649

= - 1.115

Rita's Zscore :

(110.02 - 110.3) / 0.129

= - 0.28 / 0.129

= −2.170542

= - 2.171

Sam has the more convincing victory with a greater Zscore value

A Zookeeper has 8 frogs. Each frog eats cups of food 3/4. How much food does the zookeeper need in total?

Answers

Answer:

6 cups

Step-by-step explanation:

8 x 3/4 = 6 I used a calculator

State the domain and range of the function:
domain:
range:​

Answers

Answer:

Domain: [-5, 1)

Range: (5, 1]

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, our x-values span from -5 to 1. Since -5 is a closed dot, it is inclusive in the domain. Since -1 is an open dot, it is exclusive in the domain:

[-5, 1)

According to the graph, our x-values span from -5 to 1. Since -5 is an open dot, it is exclusive in the range. Since 1 is a closed dot dot, it is exclusive in the range:

(5, 1]

Patty used 740.88 gallons of water over the course of 7 days. How much water did Patty use, on average, each day?

Answers

105.84 water used on average each day.

740.88 divided by 7 will give you 105.84

Or, 7 times 105.84 will get you 740.88

There were many ways you could get this, hope this helped!

Whoever answers gets brainlist!

Answers

Answer:

d

Step-by-step explanation:

becuase 0.54166666666 is equal to it

Answer:

13/24

Step-by-step explanation:

Could i have branliest and heart please

First to answer and get right gets brainleist and there is ma points pls help

Answers

Answer:

#11 is D. x = u - k

#12 is D. x = gc

Step-by-step explanation:

I plugged random integers to test this. Anyhow, just do the inverse operation.

#11:

13 = x + 8

x = 13 - 8

x = 5

Here, x = u - k is the new equation.

#12:

23 = x/9

x = 23(9)

x = 207

Here, x = gc is the new equation.

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