Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:

Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).

Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]

Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]

Given The Function F(x) X^2-2x/x^3 +9x^2-10x Find Any Holes, Vertical Asymptotes, And Horizontal Asymptotes

Related Questions

34z+6= i dont know how to simplify it

Answers

34z divided by 6= 5.6z

F(x) = 3x2+ 6x - 18 find f (10)

Answers

Answer:

f(10) = 342

Step-by-step explanation:

f(x) = 3x² + 6x - 18

f(10 = 3(10)² + 6(10) - 18

f(10) = 3(100) + 60 - 18

f(10) = 300 + 60 - 18

f(10) = 360 - 18

f(10) = 342

solve similar triangles (advanced)

Answers

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

[tex]\frac{9}{3} =\frac{15}{x}[/tex]

[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]

hope this helps

I’ll give 5 stars but you have to explain how you got 4.

Answers

Answer:

.

Step-by-step explanation:

I used the division, 36/9, which has the same end result. It is a similar equation, because of the numbers.

Answer:

4

Step-by-step explanation:

[tex]\frac{0.36}{0.09}[/tex]

Expand  [tex]\frac{0.36}{0.09}[/tex]  by multiplying both numerator and the denominator by 100.  

= [tex]\frac{36}{9}[/tex]

Divide 36 by 9 to get 4.

[tex]4[/tex]

I hope this helps :)

55) Carl spent 25% of his money for some presents. What percent
did he have left?

Answers

Answer:

75%

Step-by-step explanation:

In total it was 100%, but he spent 25%.

100% - 25%=75%


Need help with this one

Answers

It would be the one in the middle

This is because whatever x * 3 is it is always 2 above y so the -2 makes it x = y

what's the difference between (F(x))^2 and F^2(x) ?​

Answers

Answer:

f^2(x) means f(f(x)). [f(x)]^2 means the square of the function.

Step-by-step explanation:

I am sorry to say so, but the other answer is rubbish.

there is no difference.

both mean the same thing : f(x) × f(x).

f(f(x)) is exactly what that expresses (f of f(x)).

another way of writing for this would be (f○f)(x).

but never ever f²(x).

please ignore the other answer.

In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?

Answers

Answer:

25%

Step-by-step explanation:

25 - 20 = 5

20/4 = 5

100 / 4 = 25

Answer:

20+25%=25% Ali Has increased 25%

I need help on this question

Answers

x = -7

hope this helps!

Trevor is fishing from a small boat. His fishing hook is 8 meters below him, and a fish is swimming at the same depth as the hook, 5 meters away. How far away is Trevor from the fish? If necessary, round to the nearest tenth.

Answers

A ray from Trevor to the fish is the hypotenuse side of a right triangle  with

vertices at Trevor's position, the hook and the fish.

The distance from Trevor to the fish is approximately 9.4 meters.

Reasons:

The distance of the hook below Trevor, y = 8 meters

The horizontal distance of the fish from the hook, x = 5 meters

Required:

The distance of the fish from Trevor

Solution:

A line drawn from Trevor's position to the fish, h, then to the hook, x, and

then to Trevor, y, forms a right triangle with the distance from Trevor to the

fish being the hypotenuse side, h.

Therefore, by Pythagorean theorem, we have;

h² = y² + x²

Which gives;

h² = 8² + 5²

h = √(8² + 5²) = √(89 ≈ 9.4

The distance from Trevor to the fish given to the nearest tenth , d ≈ 9.4 meters

Learn more about Pythagorean theorem here:

https://brainly.com/question/18206420

The graph of part of linear function g is shown on the grid.

Which inequality best represents the domain of the part shown?

Answers

Answer:

F

Step-by-step explanation:

open circle at (-9,3) means the symbol must be either < or >

closed circle at (2,-6) means the symbol must be either ≤ or ≥

the x-values of each ordered pair above represent the domain {-9 and 2}

Four times a number decreased by 5 is 67. Find
the number…

Answers

Answer:

288

Step-by-step explanation:

Do the reverse.

67+5= 72

72*4= 288.

hope this helped :)

On a field trip, there were 5 girls for every 8 boys how many girls attended the 130-student field trip?

Answers

Answer:

5 / 13 is the fraction of girls on the field trip

5/13 * 130 = 50 girls on the trip

Or 10 groups of 13 and each group of 13 had 5 girls giving a total of

5 * 10 = 50 girls

HI CAN YOU PLEASE HELP ME

Answers

Answer:

11 C

12 D

13 B

14 E

15 A

Step-by-step explanation:

pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.

A scientist is working with 0.9 of gold wire. How long is the wire in millimeters?

Answers

The answer is 900milimeters

Answer:

9000 is your answer to this question hope it helps

Step-by-step explanation:

9000 es su respuesta a esta pregunta espero que ayude

What is the least positive integer which when divided by 5 gives a remainder of 4, when divided by 6 gives a remainder of 5, when divided by 7 gives a remainder of 6, when divided by 8 gives a remainder of 7, when divided by 9 gives a remainder of 8, and when divided by 10 gives a remainder of 9

Answers

Answer:

  2519

Step-by-step explanation:

In each case, the remainder is 1 less than the divisor. This means the number of interest will be 1 less than the least common multiple of 5, 6, 7, 8, 9, 10.

The prime factors of these numbers are ...

  5 = 5

  6 = 2·3

  7 = 7

  8 = 2³

  9 = 3²

  10 = 2·5

The unique factors are 2, 3, 5, 7. When they are used to their highest powers, the resulting product is ...

  2³·3²·5·7 = 2520

The number of interest is 1 less than this, so is 2519.

2519 is the least positive integer that will give the required remainders.

The Gonzales family has three children. On summer break they went to an amusement park they bought 3 child tickets for 18.50 and 2 adult tickets If they spent a total of 104.50 how much was the price of the adult ticket?

I need a complete equation and step by step explanation showing the numbers, not how you did it.

Answers

Answer:

= 24.5

Step-by-step explanation:

1 child ticket = 18.50 and they bought 3 so 18.50 x 3 = 55.5

55.5 + 2 adult tickets = 104.50

104.50 - 55.5 = 2 adult tickets

= 49 for 2 adult tickets

49/2 = 1 adult tickets

= 24.5

Which expressions are equivalent to -2(2h+10)+4h

Answers

-4h-20+4h
combine like terms that equals zero
so 20 is your answer

Subtract: x2 + 2x + 1 – (x – 3)

Answers

Answer:3x - 2Step-by-step explanation:x2 + 2x + 1 – (x – 3)=> 2x + 2x + 1 -x - 3=> 3x - 2Conclusion:

Therefore, the answer is 3x - 2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(7g+2)(5g+4)=

help please !

Answers

Answer:

35g^2+38g+8

Step-by-step explanation:

(7g+2)(5g+4)

35g^2+10g+28g+8

35g^2+38g+8

In ΔMNO,
m

M
=
(
6
x
+
1
)

m∠M=(6x+1)

,
m

N
=
(
3
x

10
)

m∠N=(3x−10)

, and
m

O
=
(
x
+
19
)

m∠O=(x+19)

. Find
m

N
.
m∠N.

Answers

Answer:

Step-by-step explanation:

All the angles in a triangle add up to 180°

So you need to add up all your angles and set them equal to 180°

angleM + angleN + angleO=180

(6x+1) + (3x-10) + (x+19)= 180

We don't actually need all these parentheses; this is all just addition and subtraction.

6x+1+3x-10+x+19 =180

Add all the x terms together. Add all the constants (plain numbers) together.

10x + 10 =180

Subtract 10 from both sides

10x =170

Divide by 10.

x = 17

But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10

3*17 - 10 =

51 - 10 =

41

The measure of angle N is 41°

(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE FOUR QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote

4. If Kevin wrote 21 posts, how many did Cheryl write?

Answers

Answer:

Cheryl's posts + 7 posts =Kevin Posts

K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin

Operation=subtraction or addition because it could be K-C=7 or C+7+K

Cheryl wrote K-7=C posts

Cheryl wrote 7 posts

FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).

What equation shows the correct rule for the function q?


q(x)=21x

q(x)=21x−3

q(x)=21x+9

q(x)=21x+3

Answers

Answer:

last one

Step-by-step explanation:

Answer: the correct answer is B the guy above me is wrong

Step-by-step explanation:

im stumped on this question. please help:)​

Answers

Answer:

(-2,6)

Step-by-step explanation:

the actual solution to the system of equations is (-(64/27),(56/9)).

however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!

(-2 , 6 )

Sorry for the late answer!

You are going to a private apple orchard to pick apples. There is a one-time entry fee that everyone pays, and you also pay a certain amount per pound of apples you pick. It costs $46 to buy 5 pounds of apples, and it costs $58 to buy 7 pounds of apples.

Answers

The one-time entry fee is $6 and the price per pound is $4.

In order to determine the one time entry fee and the cost to pick an apple per pound, two equations would be formed from the question:

x + 5y = 46 equation 1

x + 7y = 58 equation 2

Where:

x = one-time entry fee

y = price per pound

In order to determine the value of y, subtract equation 1 from 2

2y = 12

y = 12 / 2  = 6

In order to determine the value of x, substitute for y in equation 1:

x + 5(6) = 46

x + 30 = 46

x = 40 - 36

x = 4

For more information, please check: https://brainly.com/question/25802822

The graph of a function is shown on the grid.

Answers

Answer:

B (0, -2)

Step-by-step explanation:

Since the line intercepts at -2 on the y-axis, -2 is the y-intercept.

How about: 37×13×78. Simplify this, if you please.

Answers

Answer:

37518

Step-by-step explanation:

Clear your calculator.  Enter 37, followed by ×, and then 13, followed by ×, and then 78 and the ENTER key.  Result:  37518.

Calculate the volume of a regular octahedron whose edges are all 10 cm (do not use the formula to find the volume)​

Answers

Answer:

V≈471.4cm³

Step-by-step explanation:

V =

[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]

V= 471.4

Answer:

Solution :

Here we have given that the all edges if octahedron are 10 cm. We need to find the volume of regular octahedron.

[tex] \rule{300}{1.5}[/tex]

As we know that the formula of volume of octahedron is :

[tex]\longrightarrow{\pmb{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

Substituting all the given values in the formula to find the volume of regular octahedron :

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10)}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10 \times 10 \times 10)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(1000)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{ \sqrt{2} }{3} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = 0.471404 \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Octahedron)} \approx 471.404 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of regular octahedron is 471.404 cm³.

[tex] \rule{300}{1.5}[/tex]

PLEASE ANSWER THIS !!!
m>17.2
What word sentence represents this inequality?

3: A number is less than 17.2
2: A number is greater than 17.2
1: A number is at most 17.2

Answers

Answer:

2. "a number is greater than 17.2"

Step-by-step explanation:

m > 17.2 can be read by saying "the number m is greater than the number 17.2" which also can be read as 2. "a number is greater than 17.2"

y = 6x - 4 when x = -7

Answers

Answer:

It's - 28

Step-by-step explanation:

6*-7=-42-4=-28

Answer:

y is -46

Step-by-step explanation:

y= 6x -4 ....means

y =6 *x -4......so replace x with -7

y = 6*-7 -4

y=-42 -4

y= -46

Other Questions
determination of blood gases includes testing an arterial sample for Identify an organization working to improve conditions in sweatshops A parabola can be drawn given a focus of (4,6) and a directrix of y = 2. What can besaid about the parabola? what is the approximate pH of a solution labeled 0.050 M HCLO ? Which equation could define the function below?y= (x+1)(x+ .5) (x+ 3.5)y= (x+1) (X - .5) (x-3.5)y = (x-1) (X-.5) (x-3.5)y= (x+1) (X- .5) (x +3.5) solve for x enter the solution from least to greatest (x - 1)^2 - 9 = 0 Lesser x = ___ greater x = ____ Add 8.563 and 4.8292. then times the answer by 9.183 divide it 2 times by 1.192. Add to the answer with this number after your finished: "19.323 2. What additional Information What additional information do you need to prove ABC = DEF by the SSS Postulate?AC = DFAB = DEBC = EF What is the Electoral college, and why was it put in place? Synthesize Choose one aspect of the Duomo's architecture. How does this aspect of the Duomo reflect the Renaissance time period and culture? A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $10.50, and tickets cost $15 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park. please write an inequality also please solve for p why does polishing the surface of a metal extend fatigue life which group has been identified by sociologists as having more traditional gendered divisions of labor? At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score the four most abundant elements in living organisms are what kind of boundary does seafloor spreading occur at? which commander is nicknamed the roaring barbarian What does this excerpt from the poem describe? a thought-provoking walk at night a ring of street lights surrounding a park a lunar eclipse a party held at midnight. Please help due tomorrow Giving Brainlesst (PHOTOGRAPHY) Rebecca is planning to take photographs on her trip to see the California redwoods. The California redwoods are very, very large trees. She wants to make sure that everyone who sees her photographs understand how giant the trees are. What might she do to help her audience see the scale of the redwoods?Group of answer choicesAsk her parents to park their car near the base of the tree so that it will be in the photograph, too.Take a closeup of the trees bark so viewers get a sense of the level of detail the tree has.Take a photo with more than one redwood tree in the frame.Position herself so that she captures the sky and clouds behind the redwood tree.PLEASE HELP ASAP