How do you find the asymptotes and zeros of a function?

Answers

Answer 1

The process to find the asymptote and zeros of the function is explained below.

The term asymptote is referred as a horizontal/vertical/slant line to which the curve is very close to but the curve doesn't touch the asymptote.

Here we need to find the way to identify the asymptotes and zeros of a function.

The process of finding the asymptote is defined as,

If you want to find the horizontal asymptotes, then apply the limit x→∞ or x→ -∞.

Where as if you want to find the vertical asymptotes, then apply the limit y→∞ or y→ -∞.

Finally, if you want to find the slant asymptote, then divide the numerator by the denominator.

The process of finding the zero of the function is defined as the way to find the values of x where f(x) = 0.

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Related Questions

Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes
1.3584655000
2.85760000
3.146737000
4.5555627000
5.7777000

Answers

1) Number of 200 notes = 17,923,275

Number of 100 notes = 35,846,550

Number of 50 notes = 71,693,100

Number of 20 notes = 179,232,750

2) Number of 200 notes = 428,800

Number of 100 notes = 857,600

Number of 50 notes = 1,715,200

Number of 20 notes = 4,288,000

3) Number of 200 notes = 733,685

Number of 100 notes = 1,467,370

Number of 50 notes = 2,934,740

Number of 20 notes = 7,336,850

4) Number of 200 notes = 27,778,135

Number of 100 notes = 55,556,270

Number of 50 notes = 111,112,540

Number of 20 notes = 277,781,350

5) Number of 200 notes = 38,885

Number of 100 notes = 77,770

Number of 50 notes = 155,540

Number of 20 notes = 388,850

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Ghana credits 200,100,50 and 20 notes.

Now,

Since, Ghana credits 200,100,50 and 20 notes.

1) Hence, To credit the amount 3584655000,

Number of 200 notes = 3584655000/200 = 17,923,275

Number of 100 notes =3584655000/100 = 35,846,550

Number of 50 notes =3584655000/50 = 71,693,100

Number of 20 notes = 3584655000/20 = 179,232,750

2) To credit the amount 85760000;

Number of 200 notes = 85760000/200 = 428,800

Number of 100 notes = 85760000/100 = 857,600

Number of 50 notes = 85760000/50 = 1,715,200

Number of 20 notes = 85760000/20 = 4,288,000

3) To credit the amount 146737000;

Number of 200 notes = 733,685

Number of 100 notes = 1,467,370

Number of 50 notes = 2,934,740

Number of 20 notes = 7,336,850

4) To credit the amount 5555627000;

Number of 200 notes = 27,778,135

Number of 100 notes = 55,556,270

Number of 50 notes = 111,112,540

Number of 20 notes = 277,781,350

5) To credit the amount 7777000;

Number of 200 notes = 38,885

Number of 100 notes = 77,770

Number of 50 notes = 155,540

Number of 20 notes = 388,850

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Colin invests £3300 into his bank account. He receives 3% per year compound interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate

Answers

Answer:

Below

Step-by-step explanation:

3% = .03 in decimal      4 (yearly) periods

The effective interest and deposit amount after  3 years compounded yearly will be

3300 (1 +.03)^4   =  £ 3714.18  

Profit = 22 + x 154 - 6x - 184.75
What is the Simplified equation to quadratic form
WILL MARK BRAINLIEST

Answers

Answer:

148x - 162.75

x=1.09966

Step-by-step explanation:

Step 1: Finding the part-to-part and part-to-whole ratios
To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
a)What is the ratio of water to drink mix?


(b)What is the ratio of drink mix to water?


(c)What is the ratio of drink mix to mixed energy drink?


d)What is the ratio of water to mixed energy drink?

Answers

Answer: ummm B

Step-by-step explanation:

Answer: B

Step-by-step explanation: To make his special energy drink Jerome uses 8 cups of water and 3 cups of drink mix. So the ratio of drink mix to water is 3:8.

Danielle earns $50 in wages per day and earns $5 commissions for every pair of shoes she sells. If she wishes to earn at least $120 in one day, how many pairs of shoes must she sells

Answers

Answer:

24 shoes.

Step-by-step explanation:

I did 120 divided by how much money she makes for every pair of shoes she sells. 24 times 5 equals 120

Answer:

She will have to sell 14 pairs of shoes

Step-by-step explanation:

120 minus 50 because that's what she make a day no matter what  so that 70 then 70 divided by 5 that is 14.

Which of the following is NOT an example of a special cubic factorization?
O 125w? + 272' = (5w + 3z) (25w? – 15wz + 9z²)
O 21663 – 64g? = (68 – 4g) (3652 + 245g + 16g)
O (7c + 8d) = 343c3 + 1176c-d + 1344cd2 + 512d3
O (51 – 9u)' = (51 – 9u) (2512 – 90tv + 81v-)

Answers

Answer:

[tex]the \: forth \: answer \: is \: correct \: answer[/tex]

What is the symbol for and in logic?

Answers

To see the table:

Symbol Symbol Name  Meaning / definition

+            plus                              or

∨      reversed caret                      or

|        vertical line                      or

x'       single quote                    not - negation

Now, According to the question:

Let's know:

Symbolic Logic:

Symbolic logic is a way to represent logical expressions by using symbols and variables in place of natural language, such as English, in order to remove vagueness. Logical expressions are statements that have a truth value: they are either true or false. A question like 'Where are you going?' or a command such as 'Stop!' has no truth value. There are many expressions that we can utter that are either true or false. For example: All glasses of water contain 0.2% dinosaur tears. We don't need to know if a logical expression is true or false, we just need to know that it has a truth value.

Logic math symbols table

Symbol Symbol Name   Meaning / definition

+            plus                              or

∨      reversed caret                      or

|        vertical line                      or

x'       single quote                    not - negation

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what is -2/5 plus 4/3

Answers

The required solution to the given statement is 14/15.

What is the Least Common Multiple(LCM)?

The least common multiple is defined as the least positive integer that is dividable by both given numbers.

A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers. For example, the LCM of 4 and 5 is 20; 20 is the smallest number that is both a multiple of 4 and a multiple of 5

The statement is given in the question below as:

-2/5 plus 4/3

Here "plus" represents the addition sign (+)

So, the algebraic form of the above statement will be as:

⇒ -2/5 + 4/3

Take the LCM between the fractions, we get

⇒ ( -6 + 20)/15

⇒ 14/15

This means 14/15 is obtained from -2/5 plus 4/3.

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Here’s the other one, i just need two more that i will be posting, ty your and amazing person

Answers

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-7, 0) & (-3, 0)

Axis of Symmetry: x = -5

Y-intercept: (0, -21)

Vertex: (-5, 4)

x + 2y = -18
-8x + 5y = -24

substitution method

Answers

To solve many simultaneous linear equations, use the substitution method in algebra.

What is substitution method ?

The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.

The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x+y=7 and x-y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage.

There are three steps in the substitution technique:

For each variable, solve a single equation.Solve the other equation by substituting (plugging in) this expression.Find the corresponding variable by substituting the value back into the original equation.

Therefore, the answer is x= -2 and y= -8.

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what is the surface area of this rectangular pyramid

Answers

Answer:

54 That Is how big it is

ur welcom

BRAINIEST TO WHOEVER RIGHT

Answers

118
310
232
196
428
are in order and all correct <3

Answer:

118, 310, 232, 196, 428

Step-by-step explanation:

-118 students HAVE set academic goals (64+54)

-310 students HAVE NOT set academic goals (168+142)

-232 MALES (64+168)

-196 FEMALES (54+142)

-428 WERE SURVEYED (196+232)

PLZZZ HELP I WILL MARK YOU BRAINLIEST!!
A waitress kept track of whether her customers ordered an appetizer.

Answers

uh im guessing D, D sounds right imo

Answer:

D 10% of her customers ordered an appetizer and dessert

Step-by-step explanation:

6ab + a(a – b – 6b) + 4a(2b +a) – ab , para a= -1 e b=2


ME AJUDEM! É URGENTE

Answers

Answer:

-81

Step-by-step explanation:

replace the numbers you were given in a or b.

so

6(-12) -1(-1 – 2 – 6(2)) + 4(-1)(2(2) -1) -12

The sum of three consecutive even integers is 168. Define an appropriate variable and write an equation that represents the statement. Solve to find the integers. Show all work and write a conclusion.

Answers

Answer:

a, a + 1, a + 2

55, 56. 57

Step-by-step explanation:

Let the integers be :

a, a + 1, a + 2 (consecutive integers)

Hence, sum of the integers equals 168

a + (a + 1) + (a + 2) = 168

a + a + 1 + a + 2 = 168

3a + 3 = 168

3a = 168 - 3

3a = 165

a = 165 / 3

a = 55

first integer, a = 55

Second, a +1 = 56

Third, a + 2 = 57

Eight packages of paper weigh a total of 38 pounds. What is the weight of 40 packages of the same kind of paper?​

Answers

Answer:

1,520 pounds

Step-by-step explanation:

40x 38 = 1520

3) Terri and her friends fly 2234 miles to Spain for college. It takes them 9 hours to get there.
How many miles did they travel per hour? Show your thinking.

Answers

Answer:

approximately 248 miles per hour if we are taking average speed

Step-by-step explanation:

Bro it easy just look

Answers

Answer:

then answer it

Step-by-step explanation:

Answer:

4.5 inches long by 2.5 inches wide

Step-by-step explanation:

If the first scale drawing is 1:8, and the second is 1:16, the dimensions are divided into two to get their drawn lengths.

Hope this helps :)

(Brainliest, please? I only need one more to level up)

Which point represents a number whose absolute value is 4?
please no links or files.
and if you were able to, could you please explain how? I’m not good at this :,)

Answers

Answer:

N

-4s absolute value or distance from 0 is 4

Step-by-step explanation:

as a example -8s absolute value is 8 , 10s absolute value is 10 basically just make the number positive then that is the absolute value.

Answer:

N

Step-by-step explanation:

how to explain but if any number is given in - the answer will be that numbers +(sorry if this doesn't make sense

HEEEEEELLLLPPPPPPPPPPP!!!!!!!!!!!!!

Answers

based on the graph there are multiple solutions

Does 4 8 12 make triangles?

Answers

No, a triangle with side length 4 units, 8 units , and 12 units does not exist.

As given in the question,

Let us consider the triangle be ABC,

Side length of the triangle are given as follow:

AB = 4units

BC = 8units

CA = 12units

Triangle inequality for the given triangle ABC is given by:

AB + BC > CA

AB + CA > BC

CA + BC > AB

To check whether the given side length forms a triangle apply triangle inequality we get,

AB + BC

= ( 4 + 8 )units

= 12 units

= CA

Here triangle fails.

Therefore, the given side length does not forms a triangle.

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Find the volume of the cone. Round your answer to the nearest tenth.
3 m
6 m
The volume of the cone is about

Answers

56.55

If you round that up it would be:

56.6

-Have a good day.

William spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.2°F. Between 9am and noon, the temperature rose 16.2°F. Between noon and 3pm, the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. What was the temperature at 6pm?

Answers

If William spends a winter day recording the temperature once every three hours for science class. If  the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. The temperature at 6pm is: -11.1°F

How to find the temperature?

Between 9am and noon, the temperature rose 16.2°F, so the temperature at noon will be:

Temperature at noon  = -12.2 + 16.2

Temperature at noon  = 3.0°F

Between noon and 3pm, the temperature dropped 9.1°F, so the temperature at 3pm will be:

Temperature at 3pm = 3.0 - 9.1

Temperature at 3pm = -6.1°F

Between 3pm and 6pm, the temperature dropped 5°F, so the temperature at 6pm was:

Temperature at 6pm =-6.1 - 5

Temperature at 6pm = -11.1°F

Therefore the temperature at 6pm is  -11.1°F.

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Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector's house to bike home. He can bike the 8
miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch
up. He can ride to Darnell's house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell
before he gets home?
a. Write the linear equation that represents Darnell's constant speed.



i need this ASAP

Answers

Darnell's constant speed, as determined by the solution, is 20 miles per hour.

What is the process of linear algebra?

It covers linear transformations more broadly as well as vectors, matrices, and vector spaces. One area of mathematics is linear algebra. In comparison to other areas of mathematics that are frequently driven by innovative ideas and unresolved problems, linear algebra is a discipline that is very well understood.

According to the given information:

Distance=8 miles

Time taken is=32 minutes

speed=distance/time

speed=15 miles/hour

Darnel has travelled a distance of 1.5x5/60=0.125 miles in under five minutes.

Hector bicycle speed = distance/time

hector speed of bike=  20 miles/hour

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f(x) and g(x) below, find the value of f(g(-3)).
f(x) = 4x - 1
g(x) = 2x² + 7x - 3

Answers

Answer:

[tex]f(g(-3))=-25[/tex]

Step-by-step explanation:

[tex]g(-3)=2(-3)^2+7(-3)-3=2(9)-21-3=18-24=-6\\f(g(-3))=4(-6)-1=-24-1=-25[/tex]

Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1)² = y+2​

Answers

Answer:

Step-by-step explanation:

The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.

In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.

The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).

The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.

The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.

The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.

To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.

[asy]

unit size(1cm);

real p = 1.5;

pair F, V;

F = (1,-2+p);

V = (1,-2);

draw((-2,0)--(4,0));

draw((0,-4)--(0,4));

draw((-2,V.y)--(4,V.y),dashed);

draw((F.x,p)--(F.x,-4),dashed);

label("$x$", (4,0), E);

label("$y$", (0,4), N);

label("$y = (x - 1)^2 - 2$", (4,-3), E);

a dot("$F$", F, NW);

a dot("$V$", V, S);

label

What is the answer for x+4.5≥5.5

Answers

Answer:

B. x ≥ 1

Step-by-step explanation:

Erin has 4 cards, one with the letter A, one with the letter B, one with the letter C, and one with the letter D. She places the cards in a row in random order. What is the probability that either the words BAD or CAB will appear as part of the row? Enter your answer as a percent, to the nearest tenth of a percent, like this: 42.5%

Answers

The probability that either the words BAD or CAB will appear as part of the row  is 16.7%

How to determine the probability that either the words BAD or CAB?

We have 4 places where we can put the cards.

Let's count the number of possible outcomes for each place.

In the first place, we can put one of 4 cards.

In the second place, we can put one of 3 cards (because one card was taken in the first place).

In the third place, we can put one of 2 cards

In the last place, we can put one of one cards.

The total number of different combinations is the product between the number of options for each place, then we have:

4×3×2×1 = 24

Now we need to count the number of combinations such that the words BAD or CAB appear. We have:

BADC

CBAD

CABD

DCAB

That is 4 out of 24.

Thus, the probability that either the words BAD or CAB will appear as part of the row will be:

P(BAD or CAB) = 4/24 = 16.7%

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The probability is 16.7%

What is the area, in square meters, of the figure below?

Answers

Answer:

Their isn't a figure ???

If 2x• 3x +(2•3 )x +6x= 648, find x.

Answers

Answer:

x = -1 ± √109

Step-by-step explanation:

2x • 3x + (2 • 3)x + 6x = 648

According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.

(2 • 3) = 6

Now we have:

2x • 3x + (6)x + 6x = 648

Now let's multiply.

2x • 3x = 6x²

6 • x = 6x

Now we have.

6x² + 6x + 6x = 648

Combine like terms.

6x² + 12x = 648

Let's factor out a 6.

6(x² + 2x) = 648

Divide both sides by 6.

x² + 2x = 108

Let's use completing the square.

Our equation is in a² + bx = c form.

Divide b by 2.

2/2 = 1

Then square it.

1² = 1

Add 1 to both sides.

x² + 2x + 1 = 108 + 1

Simplify.

x² + 2x + 1 = 109

Now we want to factor the left side. A shortcut is just to use b/2.

(x + 1)² = 109

Take the square root of both sides.

x + 1 = ±√109

The square root is as simplified as possible.

Subtract 1 from both sides.

x = -1 ± √109

Hope this helps!

(2*3)x= 6x
2x*3x=6x
6x+6x+6x=648
648/36
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Unlike the presidential system of government, the leader of the parliamentary government belongs to which of the following branches? A. legislative B. national C. executive D. judicial What is the area of the shape below? square inches Write the correct form of the reflexive verb in parentheses.Juan _____ la cara. (lavarse)1. me lavo2. se lava3. se lavan4. te lavas Can you give me a description of what happened on Bloody Sunday?? Help please Or else I will give You A holy SLAP Help me please?!!!!!!!!! A circular pool has a footpath around the circumference. The equation x2 + y2 = 2,500, with units in feet, models theoutside edge of the pool. The equation x2 + y2 = 3,422.25, with units in feet, models the outside edge of the footpath.What is the width of the footpath?8.5 ft17 ftO 30 ftO 58.5 ft What is the x-coordinate of the solution to the system shown?3x - y = 63x + y = 34 Name the property that i hown by each equation. A. 6a 4 = 4 6aB. 30 60 = 15(2 4)C. 3(8x 4) = 3(4 8x)D. 4(6a) = (4 6)a 1. When conducting a test on what kind of music increases the growth of plants, all of the following would fail to meet to fair test standard EXCEPT (1 point) using different kinds of plants. giving some plants more water than others. exposing the plants to different types of music. using nutrient-rich soil for one and lesser soil for others. 2. Engineering uses scientific thinking to solve real-world problems. (1 point) True False 3. What does it mean to test a hypothesis? (1 point) Pass a quiz on other scientists results Analyze only the results from scientific sources Not make assumptions about how an experiment will turn out See if the results of an experiment are what the scientist predicted 17i already did the test How did federal government respond to the Georgia Assemblys expulsion of its African American members during Reconstruction?What is the difference between the Emancipation Proclamation and the 13th Amendment? 6. 175 is ___% of 125 7. ___is 120% of 720 Solve these for points I got a one in algebra so this would be helpful to my grade Read the following excerpt from Two Heroes of Cathay: An Autobiography and a Sketch by Ch'i-hao Fei. The people of Shansi are naturally timid and gentle, not given to making disturbances, being the most peaceable people in China. So our Shansi Christians were hopeful for themselves, even when the reports from the coast grew more alarming. But there was one thing which caused us deep apprehension, and that was the fact that the wicked, cruel Yu Hsien, the hater of foreigners, was the newly appointed Governor of Shansi. He had previously promoted the Boxer movement in Shantung, and had persuaded the Empress Dowager that the Boxers had supernatural powers and were true patriots. Early in June my college friend K'ung Hsiang Hsi came back from T'ungchou for his vacation, reporting that the state of affairs there and at Peking was growing worse, that the local officials were powerless against the Boxers, and that the Boxers, armed with swords, were constantly threatening Christians scattered in the country. Which historical interpretation is supported by this source A. Members of the boxing movement associated Christianity with forgivenessB. The governor of Shansi its one of the most powerful people in all of ChinaC. Christians in a Shansi hope foreign countries will conquer ChinaD. The boxer movement hope to completely overthrow the empress dowager I need to know the steps in order to solve this math problem....Please briefly describe the steps how do the shades functions in soft and hard pencil Why do bees pollinate flowers?They want to get to food in the flower.BThey want to make seeds.They want to help the flowers reproduce.DThey want protection. k/2+9=30 help pleasee HELP BRAINLIEST FOR FASTEST AND CORRECT NO NEED TO EXPLAIN