How do you solve for asymptotes?

Answers

Answer 1

There are three types of asymptotes solved in the following way:

1. Horizontal asymptotes is y = k  for x→∞ and x→ -∞ , when degree of denominator > degree of numerator.

2. Vertical asymptote is x = k for y→∞ and y→ -∞ , when degree of denominator < degree of numerator.

3. Slant asymptotes is y = mx + c.

Asymptote is the representation of the line which approaches to the given curve but never touch or meet with the curve.Three types of asymptotes : Horizontal asymptote, vertical asymptote, and the slant asymptote.1. Horizontal asymptotes is y = k  for x→∞ and x→ -∞ , when degree of denominator > degree of numerator. 2. Vertical asymptote is x = k for y→∞ and y→ -∞ , when degree of denominator < degree of numerator. 3. Slant asymptotes is y = mx + c.Horizontal asymptote rarely cross the given curve but vertical asymptote never.Slant asymptote represents the slope of the function.

Therefore, the three types of asymptotes solved in the following way:

1. Horizontal asymptotes is y = k  for x→∞ and x→ -∞ , when degree of denominator > degree of numerator.

2. Vertical asymptote is x = k for y→∞ and y→ -∞ , when degree of denominator < degree of numerator.

3. Slant asymptotes is y = mx + c.

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Related Questions

Ill mark brainly if its correct. a,b,c, or d ~ quickly please ~

Answers

Answer:

B

Step-by-step explanation:

What is the coefficient of x9 y3 in 2x − y 12?

Answers

The coefficients in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] are , coefficient of of x⁹ is 24 and coefficient of of y³  is 1   .

The Coefficients are defined as a multiplicative factor in some term of a polynomial , series or an expression , the coefficient is usually a number .

the expression is given as [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ;

to find the coefficients we first simplify the expression ,

we get ;

= [tex]12x^{3} \times2x^{3} + y^{3}[/tex]

= [tex]24x^{9} +y^{3}[/tex] ;

so , the numerical term with x⁹  is 24 and the numerical term with y³ is 1 .

Therefore , the coefficient of x⁹ is 24 and the coefficient of  y³ is 1 .

The given question is incomplete , the complete question is

What is the coefficient of x⁹ and y³ in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ?

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A rectangular prism has a length of 2cm, a height of 13cm, and a width of 9cm. What is its volume, in cubic cm?

Answers

Answer:

2 x 13 x 9 = 234 cm3 is your answer.

Step-by-step explanation:

Whenever given 3 side lengths of a rectangular prism you ALWAYS have to multiply those in order to get the volume..

Look at this set of 5 numbers:
1 2 2 2 8
By how much would the mean increase if the number 9 were added to the set?

Answers

The current mean is 3 (15/3)

adding 9 would make the mean 4 (24/6)

therefore the mean would increase by 1

2. 15 - |-4a|

It says evaluate the expression.
If a = 2

Answers

Answer:

7

Step-by-step explanation:

So first you substitute A in

15-|-4(2)|

Then you multiply first because of GEMDAS or PEMDAS

15-|-8|

And because absolute value means how far away it is from 0, -8 is 8 away from 0 , thus |-8| is 8. So we simplify the equation

15-8

=7

What is the plotting method?

Answers

Plotting method is the graphical representation of mathematical expression.

What is mean by plotting?

A plot is a graphical representation of a list of data. Besides, a plot is the graphical analysis of mathematical expressions and equations because plot can show the relationship between two or more variables. There are many plotting methods such as hand plotting method, computer aided plotting method and so on.

What are the steps of plotting method?

At first, we need to choose the coordinate system by which we plot the point.

suppose we choose a XY coordinate plane. At first identify the horizontal or X axis and vertical or Y axis.

besides, we need to determine the required value that will be plotted on the plan.

if we have a list of X and Y value then find the value of X on the x axis and next find the value of Y on the Y axis.

we will notice some points for every pair of x and y value. Finally, we will join the points to achieve a required shaped graph.

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What is the 4th interval called?

Answers

The 4th interval is called perfect. It is also called consonant.

What is interval in mathematics?

In mathematics, interval means the gap between two particular numbers in where some numbers can be located.  The numbers that are kept between two particular numbers are all real and their ranges must be maintained between two particular number.

What is the 4th interval called?

The 4th interval is called perfect. The fourth interval is always consonant because it is maintained by earlier third and next fifth.

Other perfect intervals along with fourth are unison, fifth and octave. The intervals listed above are all consonant. The fourth interval is called perfect because it behaves just like the unison interval.

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) In the first week of her school's fundraiser, Julie sold 6 items. By the end of the
fundraiser, Julie had earned a beach ball as a prize for selling more than 20 items.
Let x represent how many more items Julie sold after the first week of the fundraiser.
Which inequality describes the problem?
6 + x > 20
6 + x 2 20
Solve the inequality. Then, complete the sentence to describe the solution.
Julie sold more than
items after the first week of the fundraiser.

Answers

Answer:

6+x > 20

Step-by-step explanation:

solving the inequality-

subtract 6 from sides.

it is x> 14

Julie sold more than 14 items after the first week of the fundrai.

have a great Day!

80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 whats the mean

Answers

Answer:

sum up the numbers and divide by the numbers of values.

80+84+79+44+87+73+89+90+82+89+93+97+77+71 / 14

1135/14

= 81•1 is the mean

A bag contains 2 green disks,2 yellow disks, and 5 black disks. What is the probability of drawing two green disks without replacement?

Answers

Answer: 1/36

Step-by-step explanation: 2/9 x 1/8 =2/72 = 1/36

Step by step=1/36 the answer is 1/36

REALY HELP ME PLEASE!!!!!!

Answers

The equation of line in slope intercept form is,

⇒ y = x - 2

When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 11

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, 0) and (0, -2).

Now,

Since, The equation of line passes through the points (2, 0) and (0, -2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 2 - 0) / (0 - 2)

m = - 2 / -2

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 2)

⇒ y = x - 2

And, When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 2 - 9

⇒ y = x - 11

Therefore, The equation of line in slope intercept form is,

⇒ y = x - 2

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Question: What are the characteristics of a normal distribution? Instruction: Choose all options that best answer the question. Standard deviation will be high The smaller the sample, the more the normal distribution takes on a bell curve Samples are indicative of the population Most values are close to the mean value

Answers

Answer:

Samples are indicative of the population .

Most values are close to the mean value.

Step-by-step explanation:

The normal distribution is characterized by two parameters mean and standard deviation.

The graph of the normal distribution is symmetrical bell shaped curve called the normal curve. The location and shape of the normal curve are determined by mean and standard deviation.

We see from the figure as the mean and standard deviation increase the spread and curve change.

FALSE:   Standard deviation will be high. This is false because more than 50% of the values lie 1 standard deviation of the mean .When the data is clustered around the mean the standard deviation is low.

FALSE: The smaller the sample, the more the normal distribution takes on a bell curve

The sample size greatly affects the normal curve. The greater the sample size the more likely the distribution is bell shape or normal curve.

TRUE: Samples are indicative of the population .

The normal distribution population with mean and standard deviation has a normal sample with and standard deviation.

Most values are close to the mean value

TRUE: About 68% of values are within 1 standard deviation of the mean and around 95% of values are within 2 standard deviations of the mean in the normal distribution.

Which means more than 50% of the values lie 1 standard deviation of the mean.

What is quadrant 3 on a graph?

Answers

The lower left-hand corner of the graph is the third quadrant.

It contains the negative values of both x and y.

Quadrant

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions called quadrants, each bounded by two half-axes.

Cartesian system

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.

coordinates

Coordinates are numbers which determine the position of a point or a shape in a particular space.

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What is 35% of 35!!

Answers

35% of 35 would be 12.25

Answer:

12.25

Step-by-step explanation:

Solution for What is 35 percent of 35:

35 percent *35 =

( 35:100)*35 =

( 35*35):100 =

1225:100 = 12.25

Now we have: 35 percent of 35 = 12.25

Question: What is 35 percent of 35?

Percentage solution with steps:

Step 1: Our output value is 35.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 35 = 100%

Step 4: Similarly, x = 35%

Step 5: This results in a pair of simple equations:

35 = 100% (2)

x = 35% (2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have

[tex]\frac{35}{x} =\frac{100}{35}[/tex] (with % for 100 and 35)

Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{35} =\frac{35}{100}[/tex]

⇒ x=12.25

Therefore, 35% of 35  is 12.25

What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.

Answers

The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required is; 25.

What is the maximum possible quotient of any pair of numbers from the set?

It follows from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.

On this note, since the quotient which is to be maximised is hypothetically; x / y;

Hence, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.

On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;

10 / (2 / 5)

= ( 10 × 5 ) / 2

= 25.

Consequently, it follows that the greatest possible quotient as required is; 25.

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The cost of an online newspaper is 7. 99 per month. If you buy a one year subscription the cost is 89. 88. How much do you pay each month if you choose the one year subscription

Answers

If we chosen the one year subscription we have to pay  7.49 per each month.

What is Linear Equation ?

Linear Equation can be defined as the equation in which the highest degree of the variable is one.

Given,

The cost of an online newspaper is 7.99

And if we bought the one year subscription the cost is 89.88

Let the the cost of the each month if we bought the one year subscription be x .

for one year the cost is 89.88

for one month could be

that is, x = 89.88/12

x = 7.49

Hence , If we chosen the one year subscription we have to pay  7.49 per each month.

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The table shows data for 4 cyclists during one day of training.


Complete the table by finding the rate of speed for each cyclist. Use the formula r = d ÷ t.


Cyclist Distance (mi) Time (hr) Rate (mi per hr)

Alisha 40 4

Jose 30 2

Raul 40 4

Ruthie 80 5

Answers

Rate of speed of each cyclist is:

Alisha 10mi/hr

Jose 15mi/hr

Raul 10mi/hr

Ruthie 16mi/hr

Data given of each cyclist;

Formula used: [tex]r=\frac{d}{t}[/tex]

here,

r=rate of speed

d=distance

t=time

Alisha: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]

Jose: Distance=30mi; Time=2hr

applying the formula

[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]

Raul: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]

Ruthie: Distance=80mi; Time=5hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]

Alisha= 10mi/hr

Jose= 15mi/hr

Raul= 10mi/hr

Ruthie= 16mi/hr

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a triangle has an area of 240 square inches. the height of the triangle is 15 inches what is the length of the base of the triangle

Answers

Answer:

230.86 / 23.8 =9.7 inches-half of the base.

9.7 x 2 =19.4 inches-the length of the base.

Step-by-step explanation:

what is the decrease of 3/2

Answers

Answer:

3/2

Step-by-step explanation:

3/2 is in the simplest form; it can't be decreased any more.

Round 9,888,000 to the nearest whole number as needed
Idek :|

Answers

9,888,000 is a whole number...

Jen's car used 10 gallons of gas to travel 300 miles. How many miles did her car travel per gallon of gas?

Answers

I’m pretty sure you divide 300 miles by 10 gallons-which would give you 30 miles per gallon.

tomatoes cost 1.19 per pound which equation best represents y the total cost of x pounds of tomatoes

Answers

Answer:y=1.19x

Step-by-step explanation: Since each pound of tomato costs 1.19, you multiple the price by the amount of pounds to get the total cost.

The graph below shows the relationship between average heart rate (in beats per minute) of several mammal
species and their life expectancy (in years).
Which statement is the best description of the association between these variables?

Answers

Answer:

Nonlinar assosion

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Abby earns $7 per hour working as a cashier at a cafe.
She earned $ in a week in which she worked 28 hours. She earned $ in a month in which she worked 112 hours. She earned $ more in the month than she did in the week.

Answers

Answer:

1. So $7 per hour

For 24 hour =7×24= $168

28-24=4

4×7=28

168+28=$196

or

For 28 hour

7×28

= $196

2. 7×112

=$784

3. To find the difference subtract

784-196=$588

Answer:

196; 784; 588

Step-by-step explanation:

Sue ate one sweetie one day, and each day afterward she ate one sweetie more than she did the day before. How many sweeties did she eat during her first week?

Answers

Answer:

28

Step-by-step explanation:

1 + 2 + 3 + 4 + 5 + 6 + 7

Help i will give brainiest

Answers

Answer:

your answer is going to be B: Obtuse

Use the Pythagorean theorem to find the missing area

Answers

Answer:

28 cm^2

Step-by-step explanation:

a^+21^2=36^2

a^2+441=1225

a=28

Polygon measurement include which of the following?

Answers

Answer:

Length and Width

Length and width i believe

fast please! Which measure of center is best to use for this set of data?



45, 39, 49, 37, 3, 51

Question 1 options:

Mean


Median


Mode


Range

Answers

Answer:

Median

Step-by-step explanation:

Mean: Add up all the numbers, then divide by how many numbers there are.

Median: Arrange your numbers in numerical order. Count how many numbers you have. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode: Put the numbers in order from least to greatest and count how many times each number occurs.

Range: The difference between the smallest and highest numbers

Answer:

Mean:

[tex]mean = \frac{(45 + 39 + 49 + 37 + 3 + 51)}{6} \\ = 37.3[/tex]

Median:

[tex]3 \: \: 37 \: \: 39 \: \: 45 \: \: 49 \: \: 51 \\ median = ( \frac{n}{2} + 1) {}^{th} \\ = ( \frac{6}{2} + 1) {}^{th} \\ = 4 {}^{th} \: value \\ median = 45[/tex]

Mode:

[tex]mode = none \\ all \: digits \: are \: repeated \: once[/tex]

Range:

[tex]range = 51 - 3 \\ = 48[/tex]

please show your work

Answers

12-x= -6
-x = -6 - 12
-x = -18
solution: x=18
12-x=6
-c = -6 - 12
-x = -18
Answer is x = -18
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