Write an equation for the translation of y=6/x that has the asymptotes x = 4 and y = 5

Answers

Answer 1

Answer:

[tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex]

Step-by-step explanation:

Keep in mind that a rational function with a vertical asymptote at [tex]x=4[/tex] means the denominator must be 0 when [tex]x=4[/tex] is plugged in.

This means we have [tex]\displaystyle y=\frac{6}{x-4}[/tex] so far.

To account for the horizontal asymptote at [tex]y=5[/tex], we need to adjust the numerator and denominator so that they are the same degree and that the leading coefficients have a ratio of 5. We can do this by multiplying the numerator by 5x and the denominator by 6.

This leaves us with [tex]\displaystyle y=\frac{30x}{6(x-4)}[/tex] as the translated equation since the end behavior of the function is [tex]\displaystyle y=\frac{30x}{6x}=5[/tex]. See attached graph.

Write An Equation For The Translation Of Y=6/x That Has The Asymptotes X = 4 And Y = 5

Related Questions

Work out the area of the semi circle pi = 3.142 and radius 5

Answers

Answer:

39.25

Step-by-step explanation:

Area of circle is pi(3.14) times r^2.

Semi means half

So 3.14 times 5^2 = 78.5

Its a semi ciricle so its 78.5/2 which is 39.25

Last year, sam’s swimming pool cleaning had a gross profit of $105,355 and net income of $72,010. calculate sam’s operating expenses for last year. a. $3,335 b. $33,345 c. $17,734 d. $177,345 please select the best answer from the choices provided a b c d

Answers

Sam’s operating expenses for last year given the gross profit and the net income is  $33,345.

What is the operating expense?

Operating expense is the expense that a company incurs in the course of running its business. It is determined by subtracting net income from gross profit.

Operating expense =  gross profit - net income

$105,355 -  $72,010 = $33,345

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Answer:

B

Step-by-step explanation:

Which function does this graph represent?!? I’ll mark yours expert verified whoever helps plss 60 points

Answers

Answer:

B) [tex]f(x)=-3(x+1)^2+2[/tex]

Step-by-step explanation:

Notice that the graph of the parabola opens downward. This tells us that the leading coefficient of the function must be negative. Hence, we can rule out answers A and D.

Also, notice that our vertex is [tex](h,k)\rightarrow(-1,2)[/tex], which when we plug into vertex form, we get [tex]y=a(x-h)^2+k\rightarrow y=a(x-(-1))^2+2\rightarrow y=a(x+1)^2+2[/tex].

This means that B is the correct function that represents the graph.

Belinda is putting 496 fish into 8 different aquariums. The same number of fish will be put into each one. How many fish will be in each​ aquarium?

Answers

Answer:

62

Step-by-step explanation:

all you do for this is take 496 and divide it by 8, which gives you 62, if you still need help explain I can reply with a step by step of showing how to divide

The daily cost of manufacturing x comic books at a small custom printing shop is C(x)=2x+325, and the number of comic books assembled in y hours is x(y)=35y. The composition function, C(x(y)), identifies the cost of assembled comic books in a y-hour day. Which mathematical expression represents C(x(y))?

A- 70y+11,375

B- 70y+325

C - 70x+325

D - 70x+11,375

Answers

The mathematical expression represents C(x(y)) will be C(x(y)) = 70y + 325. Then the correct option is B.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The daily cost of manufacturing x comic books at a small custom printing shop is C(x) = 2x + 325, and the number of comic books assembled in y hours is x(y) = 35y.

The composition function, C(x(y)), identifies the cost of assembling comic books in a y-hour day.

Then the mathematical expression represents C(x(y)) will be

C(x(y)) = 2(35y) + 325

C(x(y)) = 70y + 325

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!!!!!!points!!!!!!!!

Answers

A. Substitute x = 3 into the equation of the line of best fit.

B. Estimate of the inventory on day 3 is: 3 (in hundreds).

What is the Equation of a Line of Best Fit?

The equation of the line of best fit models the relationship between two variables, which can be used for making estimates or predictions.

The equation of the line of best fit given is: f(x) = -1/3x + 4, where:

x = days after delivery f(x) = inventory

A. To estimate the inventory after day 3, substitute x = 3 into the equation of the line of best fit.

B. Plug in x = 3 into f(x) = -1/3x + 4

f(3) = -1/3(3) + 4

f(3) = 3

Estimate of the inventory on day 3 is: 3 (in hundreds).

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What will cost to make 1000 copies if the cost of one copy is $0.041 ?

Answers

Answer:

$41

Step-by-step explanation:

1 copy costs $0.041

If I need 1000 copies, I need to multiply

$0.041 × 1000 = $41

1000 copies will cost $41

Answer:

  $41

Step-by-step explanation:

The cost of 1000 copies is 1000 times the cost of 1 copy.

  1000 × $0.041 = $41.00

The cost to make 1000 copies is $41.

Does anybody know this? I know what the radius is but when I calculated my answer doesn't match the options. Find the surface area of a sphere is the area of the great circle is 81pi in^2

Answers

[tex]\stackrel{\textit{area of the great circle}}{A=\pi r^2}\hspace{5em}81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{surface area of the sphere}}{SA=4\pi r^2}\hspace{5em}SA=4\pi (9)^2\implies SA=324\pi ~in^2[/tex]

express 5x - 2y - 12 = 0 in y=mx + b form and state the slope and y-intercept

Answers

Answer:

Step-by-step explanation:

5x-2y-12=0

5x-2y+12-12=0+12

5x-2y=12

5x-5x-2y=12-5x

-2y=12-5x

(-2y)/-2=(12-5x)/-2

y=5/2x-6

slope= 5/2x up 5 over 2

y-intercept is -6

Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation,and it is not likely causal. it is a strong positive correlation, and it is likely causal.

Answers

Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.

What do correlation coefficients tell us?

Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.

If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.

Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.

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Select the graph that matches the equation y = 2
4
7
x − 3.

Answers

Answer:

B

Step-by-step explanation:

Since the y-intercept is -3 look for the graph that has the point (0,-3)

Jacob wants to find the volume of a roll of paper towels.


Which composition produces a solid with the same shape and dimensions as the roll of paper towels?

A.
a difference between two cylinders with the same height and different radii
B.
a difference between a hemisphere and a cylinder with the same radius
C.
a difference between two cylinders with the same radius and different heights
D.
a difference between two hemispheres with the same center

Answers

A. A difference between two cylinder with the same height and different radii

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A, the difference between two cylinders with the same height and different radii.

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Since the shape of a paper towel is like a cylinder, therefore, the composition that produces a solid with the same shape and dimensions as the roll of the paper towel is a difference between two cylinders with the same height and different radii.

Hence, the correct option is A.

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e Structure What is the length of a pool with a perimeter
6 feet? Explain how you found the answer. Then describe
You can use a feature of the pattern to find the length.

Answers

Answer:

To begin to answer this question, you will want to determine the equation for the volume of a rectangular prism. In this case, the equation is length times width times height or:

V = l * w * h

In the question, you are given several pieces of information that you can then plug into the equation. For example, you know the volume is 21,904 ft3 because they tell you that directly. You also know that the pool is 8 feet deep. I consider the depth to be the same as the height. With that information, you now have the equation:

21,904 ft3 = l * w * (8ft)

You are also told that the length is 2 times the width. Written as an equation, you would say that

l = 2w

Now, you can substitute that 2w for l to get the equation:

21,904 ft3 = (2w) * w * 8ft

We know that when you multiply a variable times itself, you get a squared variable, so 2w * w = 2w2 and that

21,904 ft3 = 2w2 * 8ft

Now, you can solve the equation to find w. At this point, it is easiest to drop the units of feet on the numbers to do the math. As long as all your numbers are in the same units (i.e. feet), you are good to go. Start by dividing each side by 8 to get

2738 = 2w2

Then divide both sides by 2 to get

1369 = w2

Finally, for this portion, take the square root of 1369 to get

w = 37 feet.

But you're not done yet. You know the width, and you know that l = 2w. Plug the value for w (37) into this equation to get the length, which is 74 feet.

The final answer is that the width of the pool is 37 feet and the length is 74 feet.

You can check your answer by plugging the length, width, and height (depth) into the equation for volume to see if you get 21,904ft3.

If you take 8 ft x 37 ft x 74 ft, you get 21,904 ft3 and you know that you answer is correct.

Step-by-step explanation:

You just found a coupon for 35% off! what is 3 the new price of the shoe before taxes?

Answers

The new price of the shoe before taxes will be $ 35.75.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

It cost Nike $55 to make the "Kyrie 5".

You just found a coupon for 35% off.

Then the new price of the shoe before taxes will be

⇒ (1 - 0.35) x 55

⇒ 0.65 x 55

⇒ $ 35.75

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Write each of the following expressions without using absolute value. |z−7|−|z−9|, if z<7

Answers

Answer:

-2

Step-by-step explanation:

z - 7 ≥ 0

z ≥ 7

| z - 7 | = z - 7, z ≥ 7

| z - 7 | = -z + 7, z < 7

z - 9 ≥ 0

z ≥ 9

| z - 9 | = z - 9, z ≥ 9

| z - 9 | = -z + 9, z < 9

| z - 7 | = -z + 7

| z - 9 | = -z + 9

|z - 7| - |z - 9|

-z + 7 - (-z + 9)

-z + 7 + z - 9

= -2

Find the length of the unknown side of the right triangle with sides a, b, and c, where c is the hypotenuse. Give an exact answer and a two-decimal place
approximation

a=6, C =18

The exact apswer is:

The two decimal place approximation is (Round two decimal places if needed):

Answers

Answer:

16.97

Step-by-step explanation:

Therefore b= 16.97

Help!! Which is the best reason why step 1 is a good first step in the solution shown?

Answers

Answer:

Multiplying by 3 isolates x on one side of the equation.

Step-by-step explanation:

When solving an algebraic equation, you want to isolate the variable on

one side of the equation. By isolating the variable, you can see what the

variable is equal to.

Hope it helps, have a fantastic day.

A circle with circumference has an arc with a 15 degree angle. What is the length of the arc?

Answers

Answer:

(15/360)*whatever the circumferance is

Step-by-step explanation:

Length of arc = 2π * radius * angle/360

And 2π * radius= circumference

Therefor we can replace that in the eqaution so we can do

circumference *angle/360=lengnth of arc

Solve for x. Write both solutions, separated by
a comma.
6x² + 5x6 = 0

Answers

Answer:

x = 0.7401 ± 0.7401i, x = 0

Step-by-step explanation:

(6 • (x^2)) +  5x^6  = 0

(2•3x^2) +  5x^6  = 0

5x^6 + 6x^2 = x^2 • (5x^4 + 6)

x^2 • (5x^4 + 6) = 0

x^4 = -6/5 = -1.200

x  =  ∜ -6/5

⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.

→ x = 0

→ x = 0.7401 ± 0.7401i

Graph a line to represent the linear equation y=32x−6.

Answers

Answer:

The slope is 32 while the y-intercept is (0,-6)

Step-by-step explanation:

.......

PLEASE HELP SUPER EASY bottom question please!!

Answers

Answers:  

The histogram is shown below.7/10 of the class passed the assignment.

============================================================

Explanation:

Part 1

Sort the data values to get

51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100

Now let's say we had these intervals

51-6061-7071-8081-9091-100

Notice each interval is 9 units wide.

The 5 scores 51,54,58,60,60 are in the interval 51-60, which means the first interval has a bar that's 5 units tall.

The scores 62,70 are in the interval 61-70, which means the second bar is 2 units high.

Keep this process going to create the histogram shown below.

It looks like you have the right idea, but your class interval widths aren't the same each time.

Because the class interval widths can change, this means other histograms are possible. Just be sure to stick to one interval width.

-----------------------------------

Part 2

Set A = set of scores that are 70 or larger, i.e. those who passed

Set A = {70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}

Set B = set of all scores in the class

Set B = {51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}

There are 14 items in set A and 20 in set B

This means 14/20 = 7/10 of the students passed.

Olivia is buying a car for £3650. She pays a deposit of £500. What percentage of the price is the deposit?​

Answers

Answer:

500 ÷ 3650 = 0.13698630136986 = 13.698630136986%

it takes 3 painters 6 days to complete a job work out how many days would it take 2 painters to complete the same job (2 marks)​

Answers

Answer:

t = 8 days i saw it on a website if i recall its the answer

Step-by-step explanation:

speed = distance/time

4 P = 1 House / 10 Days

P = 1 House / 40 Days

Let T = Time it takes for five painters.

5 P = 1 House / T

5(1/40) = 1 /T

1/8 = 1 /T

T = 8 Days

Please answer this question immediatly

Answers

Apple be A and blueberries be B

So

As per Venn diagram

n(A)=12n(B)=7n(A$\cap$B)=3

#1

n(A)+n(B)12+719

P(A)=12/24

P(B)=7/24

Add

12+7/2419/24

#2.

n(AUB)

n(A)+n(B)-n(An B).19-316

E=8+16=24

P(AUB)=16/24=2/3

Answer:

[tex]\sf a) \quad P(contains\:apple)+P(contains\:blueberry)=\dfrac{5}{6}[/tex]

[tex]\sf b) \quad P(contains\:apple\:or\:blueberry)=\dfrac{11}{15}[/tex]

c)    Not mutually exclusive events

Step-by-step explanation:

From inspection of the Venn diagram:

Total number of smoothies = 12 + 3 + 7 + 8 = 30Number of smoothies containing Apple = 12 + 3 = 15Number of smoothies containing Blueberry  = 3 + 7 = 10Number of smoothies containing both Apple and Blueberry = 3Number of smoothies not containing Apple or Blueberry = 8

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Let A = contains apple

Let B = contains blueberry

[tex]\implies\sf P(A)=\dfrac{15}{30}=\dfrac{1}{2}[/tex]

[tex]\implies\sf P(B)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]

Part (a)

[tex]\begin{aligned} \implies \sf P(A)+P(B) & =\sf \dfrac{1}{2}+\dfrac{1}{3}\\\\ & = \sf \dfrac{3}{6}+\dfrac{2}{6}\\\\ & = \sf \dfrac{5}{6}\end{aligned}[/tex]

Part (b)

[tex]\textsf{Addition Law}: \quad\sf P(A\:or\: B) = P(A)+P(B)-P(A\:and\:B)[/tex]

Given:

[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]

[tex]\sf P(A\:and\:B)=\dfrac{3}{30}\quad \textsf{(where the circles overlap)}[/tex]

[tex]\begin{aligned}\implies \sf \sf P(A\:or\: B) &= \sf P(A)+P(B)-P(A\:and\:B)\\\\& =\sf \dfrac{5}{6}-\dfrac{3}{30}\\\\ & =\sf \dfrac{25}{30}-\dfrac{3}{30}\\\\ & =\sf \dfrac{22}{30}\\\\ & = \sf \dfrac{11}{15}\end{aligned}[/tex]

Or, we can simply read P(contains apple or blueberry) from the Venn diagram.  

P(A or B) is the total of the numbers inside the circles divided by the total number of smoothies:

[tex]\sf P(A\:or\:B) = \dfrac{12+3+7}{30}=\dfrac{22}{30}=\dfrac{11}{15}[/tex]

Part (c)

For two events, A and B, where A and B are mutually exclusive:

[tex]\sf P(A \: or \: B)=P(A)+P(B)[/tex]

Given:

[tex]\sf P(A)+P(B)=\dfrac{5}{6} \quad \textsf{(from part a)}[/tex]

[tex]\sf P(A\:or\:B)=\dfrac{11}{15} \quad \textsf{(from part b)}[/tex]

[tex]\sf As\:\dfrac{11}{15}\neq \dfrac{5}{6} \implies P(A \: or \: B)\neq P(A)+P(B)[/tex]

Therefore, choosing a smoothie containing apple and choosing a smoothie containing blueberry are NOT mutually exclusive events.

Helppppppp meeeeeeeeepleaseeeeee

Answers

Answer:

5600x10=56000

56000=B ten thousands

Answer:

Ten Thousands

Step-by-step explanation:

5,600x10=56000

So the 5 will be in the ten thousand place if u get a chart/

ignore the numbers on the chart

What is the answer please?

Answers

Step-by-step explanation:

answer 3 is correct.

the result is clearly shifted (translated) and then enlarged (dilation).

the dimensions of the side lengths all follow the same scale factor (2).

On the same coordinate plane, mark all points (x, y) that satisfy each rule.

y = -3 -X

Show Graph!!!
100 Points!!!!!

Answers

Answer:

y=3x-2

For plotting graph we have to put some x values in above equation then we get y Ans

when x=0,y=-2

when x=1,y=1

when x=2,y=4

when x=-1, y=-5

when x=-2, y=-8

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

How much paint is needed for the entire outside of this prism ???
SEE PICTURE ATTACHED!!!

Answers

Answer:

132

Step-by-step explanation:

surface area of a triangular prism

132 ft is needed for the entire outside

its a 3 4 5 right triangle

10 is the height

PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!

Answers

Answer:

The correct answer is the last one, [tex]\frac{\pi }{6}[/tex].

Step-by-step explanation:

Assuming you need this urgently so I won't explain.

Hope this helps:) Goodluck!

Answer:

5π/6, 7π/6

Step-by-step explanation:

Solving :

cos⁻¹ (-[tex]\frac{\sqrt{3} }{2}[/tex])

cos⁻¹ (-cos30°)

cos 30° is negative in Quadrant II and Quadrant III

Value in QII :

cos (180° - 30°)cos (150°)5π/6

Value in QIII :

cos (180° + 30°)cos (210°)7π/6

The answer is 5π/6, 7π/6

Please simplify this!

Answers

Answer:

May be the answer is 5 . I don't think it's the answer .

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