Write an equation for the translation of y = 4/x that has the given asymptotes x = 2, y = 2

Show work

Answers

Answer 1

According to the given asymptotes, the equation for the translation of the function is:

[tex]y = \frac{4}{x - 2} + 2[/tex]

What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

[tex]y = \frac{4}{x}[/tex]

The vertical and horizontal asymptotes are, respectively, given by: x = 0, y = 0.

To have the desired asymptotes, the function has to be shifted 2 units to the right and 2 units up, hence it is given by:

[tex]y = \frac{4}{x - 2} + 2[/tex]

More can be learned about translations at https://brainly.com/question/4521517


Related Questions

I need to do this it due tommorow

Answers

Answer:

14

Step-by-step explanation:

when you add all the numbers together you get 14, also where you put the line you can see that the line is a 3 and 5 minus 2 is 3. The next corner next to the 3 is 1 cm because if you look at the horizontal 2 it matches up with the horizontal 1 and 2 minus 1 is 1.

A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of $12.00. alyssa thinks that her school is more fashion conscious and spent more than $195.00. she collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. which of the following is the correct z-statistic for this situation? 0.24 4.84 7.51 96.90

Answers

Z-score of given data comes to be 4.84.

It is given that:

Mean price of a prom dress μ= $195

Standard deviation σ= 12

Mean of price spent on prom dress out of 20 people X= $208

Sample size n= 20

What is a z-score?

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Z-score = (X-μ)/(σ/√n)

Where, X = observed value

μ= mean

σ = standard deviation

n =sample size

Z-score of above data = (208-195)/(12/√20)

Z-score = 4.84

Therefore, the Z-score of the given data comes to be 4.84.

To get more about Z-score visit:

brainly.com/question/25638875

Answer:

B

Step-by-step explanation:

on edge

eric sells donuts for $7 per dozen. which equation can be used to determine the total cost, t, for x dozen of donuts?

Answers

Answer:

7 times x = t

Step-by-step explanation:

if your buying 3 dozen of donuts, the total cost would be by doing 7x3

Solution:

It should be noted:

Given sentence: Eric sells donuts for $7 per dozen.

Let's reread the sentence carefully.

Eric sells donuts for $7    per dozen.

                                   ↥           ↥

                                  $7     1 dozen

The equation created: $7 = 1 dozen

If x dozen doughnuts were sold, equation: $7x = t = x dozen

Thus, the equation that can determine the total cost, t, for x dozen of donuts is $7x = t.

5y(4-2y+y)-4y


Need help ASAP

Answers

Answer:

The answer above is correct, I got it wrong originally! Sorry for wasting this spot! ^w^

Step-by-step explanation:

What would be the answer to this question

Answers

this is the answer for this question, you can follow this step. The final one I use the calculat

Step-by-step explanation:

[tex] \sqrt{28 - 6x} = x - 6 \\ ({ \sqrt{28 - 6x}) }^{2} = {(x - 6)}^{2} \\ + - (28 - 6x) = {x}^{2} - 12x + 36 \\ 0 = {x}^{2} - 6x + 8 \\ 0 = (x - 2)(x - 4) \\ x - 2 = 0 \\ x - 4 = 0 \\ x = 2 \\ x = 4 \\ we \: must \: check \: the \: answer \: \\ \sqrt{28 - 6(2)} = 2 - 6 \\ \sqrt{16} = - 4 \\ 4 = - 4 \\ it \: is \: wrong. \: \\ \sqrt{28 - 6(4)} = 4 - 6 \\ \sqrt{4} = - 2 \\ 2 = - 2 \\ it \: is \: wrong \: too.[/tex]

-( 28 - 6x ) = x² - 12x + 36

x² - 18x + 64 = 0

√∆ = √( 324 -256)= √68 = 2√17

x = (18 ± 2√17)/2 = 9 ± √17 → 9+√17 ✓

9-√17 is not acceptable because the radical answer can not be negative.

How many more unit tiles need to be added to the expression x2 4x 3 in order to form a perfect square trinomial? 1 2 3 4.

Answers

The number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1

What number of tiles is needed to make the equation perfect square?

Given equation is  [tex]x^{2} +4x+3[/tex]

Now by adding 1 to the equation  [tex]x^{2} +4x+3[/tex] we get

[tex]x^{2} +4x+3+1=x^{2} +4x+4[/tex]

[tex]x^{2} +2x+2x+4[/tex]

Now by splitting the equation

[tex]x(x+2)+2(x+2)[/tex]

[tex](x+2)(x+2)[/tex]

[tex](x+2)^{2}[/tex]

Thus the number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1

To know more about Trinomial follow

https://brainly.com/question/1538726

A - 1

Correct answer. Since, well you just need one more tile to add, especially noticeable in the picture shown! Enjoy folks

What is the length of side b round to the nearest hundredth

Answers

Answer:

= 8.06

Step-by-step explanation:

4^2 + 7^2
16 + 49
= ∫65
= 8.06

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

It would be A since in the equation (x+4)^2-2 the plus 4 means horizontal shift to the left and -2 means vertical shift down 2

help me please! i need to turn in this assignment

Answers

Answer:

90

40

45%

Step-by-step explanation:

the way I go 40 was by looking around the blank space, and i see that the 2 totals are 110 and 88. 110-70=40 and 88-48=40 so that is the answer for that one

and for the frequency i took 90 and divided it by 200 gettin 0.45 and then i moved the decimal 2 places to the right giving me my percentage

Determine the value of x that makes each equation true.
Equation
Value
- 3x = 6.3
1/8 = -12
-1.2x = -30
12
= -0.3

Answers

Answer:

1. -2/1

2. -1.5

3. 25

4. -0.025

Step-by-step explanation:

divide by the coefficient on both sides of then equation.

Are the ratios equivalent? 2/5 and 20/55​

Answers

Step-by-step explanation:

Simplify 20/55;

[tex] \frac{20 \div 5}{55 \div 5} = \frac{4}{11} [/tex]

[tex] \frac{2}{5} \: is \: not \: equivalent \: to \: \frac{4}{11} [/tex]

In order for 2/5 to be equivalent with 20/55, it has to be an unsimplified form of the ratio 2/5. We can identify that 20/55 isn't.

Assuming 2:5 and 22:55 are equivalent. Then;

[tex]\implies 2:5 = 20:55[/tex]

This can be checked by using two methods. Listed below!

Method 1 (As stated above):

This method has been used in the above answer. The above answer has simplified the right-hand-side and verified that the ratios are not equivalent.

Obtained ratio:

[tex]2:5 = 20:55[/tex]

We can see that 20 and 55 are divisible by 5. Therefore, we can divide 5 to the numerator and the denominator to simplify the fraction.

[tex]2:5 = (20 \div 5):(55 \div 5)[/tex]

[tex]2:5 = (4):(11)[/tex]

Therefore, the given ratios are NOT equivalent.

Method 2:

To determine if the ratios are equivalent (or not);

Multiply the extremes (Refer to notes) of the ratio and isolate them on one side of the equation.Multiply the middles (Refer to notes) of the ratio and isolate them on the other side of the equation.

Therefore,

[tex]\implies 2:5 = 20:55[/tex]

[tex]\implies 2 \times 55 = 5 \times 20[/tex]

Now, let's simplify both sides of the equation.

[tex]\implies 2 \times 55 = 5 \times 20[/tex]

[tex]\implies 110 = 100 \ \ \ (\text{False})[/tex]

Therefore, the given ratios are NOT equivalent, as stated in method 1.

Notes:Extremes: (a : b = c : d) ⇒ "a" and "d"Middles: (a : b = c : d) ⇒ "b" and "c"

Learn more about equivalent ratios: https://brainly.com/question/18835388

What is the circumference of 7 in?

Answers

Answer:

If Its 7 in diameter than the answer is 21.98 if it is radius than it is 153.86

Step-by-step explanation:

Answer:

Solution:

Radius of a circle = 7 in

We know that

Circumference of a circle = 2πrSubstituting the values

= 2 × π × 7

= 14π

= 43.9823 ≈ 43.98 in

Therefore, the circumference of a circle is 43.98 in.

Select the correct solutions for the system of equations:
10x + y = -20
y = 2x^2 - 4x - 1

[] (-2, 0)
[] (-1, 0)
[] (0, -2)
[] (0, -1)
[] (-2, 10)
[] (-1, -10)
[] (10, -1)
[] (10, -2)

Answers

Answer:

The answer are

(-2,0)

(-1,-10)

(0,-1)

Step-by-step explanation:

I believe these are all the right answers

Hope this helps and mark brainliest please :)

In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game.
How many blue cards are in the game?

Answers

Answer:

63 yellow cards

Step-by-step explanation:

84 divided by 4 is 21, and 21 times 3 is 63.

please help with this question find the outlier!!

Answers

Answer:

the outlier would be 36 oz

Step-by-step explanation:

the rest of the points on the box plot are clustered together while 36 is far away from the nearest point (39)

hope this helps :)

What is the hydronium ion concentration in a solution of hcl that has a ph of 4.65? round to the nearest hundredth. × 10n m n = what is the hydroxide ion concentration in a solution of nh3 with a poh of 4.65? round to the nearest hundredth. × 10n m n =

Answers

The hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.

What is pH value?

The pH scale, which originally stood for "potential of hydrogen," is used to describe the acidity or basicity of aqueous solutions. The pH of acidic solutions is lower than that of basic or alkaline solutions.

Hydronium ions concentration of the solution with a pH value of 4.65.

[tex]pH = -\rm log[H_3O^+]\\\\4.65 = -log[H_3O^+]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[H_3O^+]\\[/tex]

[tex][H_3O^+] = 2.2387 \times 10^{-5} M[/tex]

Now, we know that the Hydroxide ions concentration of the solution with pOH value of 4.65. Therefore,

[tex]pOH = -\rm log[OH^-]\\\\4.65 = -log[OH^-]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[OH^-][/tex]

[tex][OH^-]=2.2387 \times 10^{-5}\ M[/tex]

Hence, the hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.

Learn more about pH value:

https://brainly.com/question/1503669

Answer:

first one is 2.24 then -5

2nd one is 2.24 then -5

i just did it

A class of 24 students visited a science museum. Each student paid the
museum’s admission fee and $6 for lunch at the museum. The class spent
a total of $336. What was the admission fee that each student paid?

Answers

each student payed 9.50 for the admission fee

Answer:$14

$336/24

$14

Step-by-step explanation:

Determine the first expression to evaluate 8+7-9+42÷6 ?

Answers

Answer:

The answer is 13!

Step-by-step explanation:

Have a great day!

A cube has an edge length of 3 inches.

a) Find the surface area and volume of the cube.

b) The cube is dilated by a scale factor of 0.5.
Find the surface area and volume of the image.

PLEASE HELP THIS IS DUE TOMORROW!!!

Answers

Answer:

Question (a)

Surface area of a cube = [tex]6x^2[/tex]   (where [tex]x[/tex] is an edge length)

⇒ surface area = 6 × 3²

                         = 6 × 3 × 3

                         = 6 × 9

                         = 54 in²

Volume of a cube = [tex]x^3[/tex]   (where [tex]x[/tex] is an edge length)

⇒ volume = 3³

                 = 3 × 3 × 3

                 = 27 in³

Question (b)

To find the area of a dilated figure, simply multiply the original area by the scale factor squared:

Surface area = [tex]6x^2[/tex] × sf²  

                      = 54 × 0.5²

                      = 13.5 in²

To find the volume of a dilated figure, simply multiply the original volume by the scale factor cubed:

Surface area = [tex]x^3[/tex] × sf³

                      = 27 × 0.5³

                      = 3.375 in³


Find the nth term of the sequence
below:
2,6,10,...
What is the 10th term in the
sequence? If 89 in the sequence?

Answers

Just use the formula a+(n-1)d where a is first term 2 and difference is 6-2=4 and n is 10 .

A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.

Answers

Answer :

8 meters .

Explanation :

The volume of the cylinder is 50π cubic meters.

The cylinder has radius 2.5 meters.

To Find :

The height of the cylinder.

Solution :

We know,

[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]

Where,

r is the radius of the cylinder.h is the height of the cylinder.

Now, Substituting the values :

[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]

Cancelling π from both sides :

[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]

[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]

[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]

Therefore,

The height of the cylinder is 8 meters .

Analyze: What is the the number of periods of the following atoms

Answers

Answer:

2; 3; 4.

Step-by-step explanation:

Li - 2 (two circles); Na - 3 (three circles); K - 4 (four circles).

Fran is training for a cycle race. In the first week, she cycles 195 miles. In the second week, she manages 243 miles. To the nearest tenths, What is the percent increase in distance?

Answers

Answer:

24.6%

Step-by-step explanation:

243-195=48

48/195=x/100

48 × 100

4800/195= 24.6%

The quadratic parent function f was transformed to create g(x)=4f(x)which description best represents g?

Answers

Answer: the second one because its a virdacal reflection

Step-by-step explanation: it’s sideways all you have to do is find the equation

expand and simplify x(x-4)(x-1)

Answers

Answer:

Step-by-step explanation:

x(x-4)= x^2-4x

x^2-4x(x-1)

x^3-5x^2+4x

What is the area of this composite figure?

Answers

Answer: B: 7.14 in²

Step-by-step explanation:

Area of the square: 2x2 = 4in²

Area of the circle: πr² = 3.14 x 1² = 3.14

add them both to get the composite area:

4 + 3.14 = 7.14 in²

HELPPPPPOOOPP PLEASEEE

Answers

Answer:

122

Step-by-step explanation:

Rectangle: 6*15=90

Inner Trapezoid: 6*4=24

Triangles: 4*2=8/2=4*2=8

pls help fast. i need it fast. pls

Answers

Answer: Part A C x G = X

Part B it represents the cost

Step-by-step explanation:

An angle measures 64° less than the measure of its supplementary angle what is the measure of each angle

Answers

Given :

An angle which measures less 64° the measure of its supplementary angle.

To Find :

The measure of its supplementary angle.

Solution :

Let's assume the one of the supplementary angle as x and the other angle as (x - 64)° .

Now,

According to the Question :

[tex]\longrightarrow\qquad \sf{{x

+ (x - 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]

[tex]\longrightarrow\qquad \sf{{x + x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

[tex]\longrightarrow\qquad \sf{{2x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} + 64 {}^{ \circ}}}[/tex]

[tex]\longrightarrow\qquad \sf{{2x = {244}^{ \circ} }}[/tex]

[tex]\longrightarrow\qquad \sf{{x = \dfrac{{244}^{ \circ}}{2} }}[/tex]

[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {122}^{ \circ} }}}[/tex]

Therefore,

One angle = 122°Other angle = 122° – 64° = 58°

Henceforth ,

The measure of the two angles are 122° and 58° .

Ashley makes house calls. For each she is payed a base amount and makes additional money for each hour she works. The graph below shows her pay(in dollars) versus the number of hours worked.

How much does her pay increase for each hour?

Answers

Answer:

her pay increases by 30$ each hour she work

Step-by-step explanation:

hope it helps

Other Questions
What values are needed to make each expression a perfect square trinomial? x2 4x x2 10x. Manny's Restaurant bought 9 1/4 pounds of onions. The restaurant bought 7 3/4 times as much potatoes as onions. How many pounds of potatoes did the restaurant buy? -3x+3y=4 -x+y=3 substitution What is the solution to this inequality? 3x+7>16 Drag and drop a symbol and number to correctly complete the inequality.PLEASE HELP! why is friendship important? What kind of a system is a coffee held in a cup??don't spam.. Is the equation y/x=8 direct variation, inverse variation, or neither? Explain Determine the value of EBDEBD. Show your work.Giving 18 POINTS i need this problome solved please and thank you :) How to solve graph 5+h>7 Find the surface area of a rectangular prism with a length of 13 ft,width of 8 ft and height of 18 ft. A description of how the principles of art, including shape, color, texture, line, and space, are used in the art. Convert 283 inches to feet. Round to the nearest tenth MegaMouth Inc. Produces two megaphone models, the Boomer and the Blaster. The company makes 15,000 units of the Boomer model and 16,400 of the Blaster model each year. MegaMouth inspects 1 Boomer for every 100 produced and 1 Blaster for every 80 produced. The company expects $11,360 in total inspecting costs for the coming year. What amount of the inspecting costs should be allocated to the Blaster model under activity-based costing What was available to states such as Minnesota and Illinois that was important to growing their economy by increasing trade, transportation, and tourismThe National RoadBadlands National ParkThe Black HillsThe Great Lakes WHAT IS 2PLUS 2 IT IS 4 BECAES 2 AND 2 EQAUL 4 What is the approximate length of arc s on the circle? 5. 23 in. 41. 87 in. 52. 36 in. 104. 67 in. Given the functions f(x)=7-2x and g(x)=5x-3 find g(f(-4)) find f(g(x)) how did shang kings retain their power over such a large population and vast territory? A balloon has a radius of 7.25 cm. What is the approximate area of the circle, rounded to the nearest whole number?