The reciprocal parent function is reflected across the x- axis, then translated 5 units right and 7 units down . Write an equation that could represent this new function , then identify the asymptotes

Answers

Answer 1

Answer:

Equation: [tex]f'"(x) = -\frac{1}{x-5}-7[/tex]

Asymptotes: [tex](x,y) = (5,-7)[/tex]

Step-by-step explanation:

Given

Let the reciprocal function be:

[tex]f(x) = \frac{1}{x}[/tex]

First, it was reflected across the x-axis.

The rule is: (x,-y)

So, we have:

[tex]f'(x) = -\frac{1}{x}[/tex]

Next, translated 5 units right.

The rule is: (x,y)=>(x-5,y)

So:

[tex]f"(x)= -\frac{1}{x-5}[/tex]

Lastly, translated 7 units down.

The rule is: (x,y) => (x,y-7)

So:

[tex]f'"(x) = -\frac{1}{x-5}-7[/tex]

To get the vertical asymptote, we simply equate the denominator to 0.

i.e.

[tex]x - 5 = 0[/tex]

[tex]x = 5[/tex]

To get the horizontal asymptote, we simply equate y to the constant.

i.e.

[tex]y = -7[/tex]

[tex](x,y) = (5,-7)[/tex]


Related Questions

Brainliest goes to whoever explains the answer best pls help

Answers

Answer: (-2,9)

Step-by-step explanation: I did this not too long ago!

Solve equation [2] for the variable  y  

 [2]    y = 5x + 19

// Plug this in for variable  y  in equation [1]

  [1]    (5x+19) + 3x = 3

  [1]    8x = -16

Solve equation [1] for the variable  x

  [1]    8x = - 16

  [1]    x = - 2

By now we know this much :

   y = 5x+19

   x = -2

Use the  x  value to solve for  y

   y = 5(-2)+19 = 9

Answer (-2,9)

Given the data set, calculate the range and the mode:


{9, 3, 1, 8, 3, 6}

Answers

I believe the range is 8 because the biggest number minus the smallest number which is 9-1 and the mode is 3 because it is the number that repeats more than one time.

(1 point) Solve the following inequality, giving your answer in interval notation.
1 - x > 2

Answers

Answer:

-1

Step-by-step explanation:

1-x>2

-x>2-1

-x>1

-x/-1>1/-1

x<-1

Answer:

[tex]x < - 1[/tex]

Step-by-step explanation:

first step

try to leave x's in your left and number in your right

-x > 2-1

-x>1

step 2

by moving the sign minus to right it will become plus

and the inequality sign will change also

so x<-1

the region will ( - infinity to -1 )

[tex]( - \infty - 1)[/tex]

Solve these equations. Show solutions on a number line.

|x-7|=x-7

Answers

Answer:

X is equal to or greater than 7

Step-by-step explanation:

Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.

i’ll give you brainliest if you help me please

Answers

Answer:

b) 40

Step-by-step explanation:

x + x + 100 = 180

2x + 100 = 180

2x = 80

x = 40

What is the answer please help no links

Answers

Answer:

The answer is 432

Step-by-step explanation:

Multiply

What is the value of x in centimeters?

Answers

Answer:

2.5 cm

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

AC          BC

-------- = ---------

FH             GH

12            15

-------- = ---------

18             x

Using cross products

12x = 15*18

Divide each side by 12

12x/12 = 15*18/12

x = 2.5

LOOK AT THE IMAGE!!!
DO NOT JUST ANSWER FOR POINTS

Answers

Answer:

C) (-3,-1)

Step-by-step explanation:

C) (-3,-1)

and Mandy takes 3.9 percent of jimmy chocolate jimmy has 5000 pieces of chocolate chocolate how much does jimmy have left

Answers

Answer:

Jimmy has 4805 left

Step-by-step explanation:

3.9% = 0.039

5000(0.039) = 195

Mandy took 195 pieces

5000 - 195 = 4805

Jimmy has 4805 left

You want to put a 5 inch thick layer of topsoil for a new 26 ft by 27 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

Answers

Answer:

Step-by-step explanation:

he volume of the topsoil is

 

28 ft by 21 ft by 5/15 ft = 245 cubic feet

 

There are 27 cubic feet in one cubic yard.

 

245/27 = 9.074074074.... = 9.074

 

Need 9.25 = 9 and 1/4 cubic yards

Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes? Sept. 72, Oct. 83, Nov. 95, Dec. 77, Jan. 88​

Answers

Answer:

Oct.

Step-by-step explanation:

average = (72 + 83 + 95 + 77 + 88)/5 = 83

the area of a rectangle is 84x18y what is the length.

Answers

Answer:

Area =L×w

84×18y =L×w

by comparison

L =84 and w=18y

45 × _____ ÷ 15 = 45

Answers

Answer:

15

Step-by-step explanation:

45 × 15 = 675

675/15 = 15

Answer:

15

Step-by-step explanation:

45x15=675

675/15=45

What expression is equivalent to
16+2*36

Answers

Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent

WALK-A-THON WALE
SPONSOR SHEET MA
Manuel
NAME
9. Make Sense and Persevere Beth, Manuel, and Petra
are collecting sponsors for a walk-a-thon. The equation
y= 20x represents the amount of money Beth raises
for walking x miles. The table shows the relationship
between the number of miles Manuel walks and the
amount of money he will raise. Petra will earn $15 for
each mile that she walks.
a. In order to compare the proportional relationships,
what quantities should you use to find the unit rate?
MILES WALKED
3
5
7
9
MONEY RAISED
$45
$75
$105
$135
b. Compare the amount of money raised per mile by the three people.

Answers

45x+zy=-c is the anser because of many reasons

look at pic 10 pts will mark brainilest

Answers

Answer:

D

Step-by-step explanation:

It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.

It would be answer D

A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45​% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since​ 2013

Answers

Answer:

Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since​ 2013 and is significantly different from 45%

Step-by-step explanation:

Sample size, n = 3603

x = 1697

Phat = x/n = 1697/3603 = 0.4709 =47.09%

H0 : p = 0.45

H1 : p > 0.45

The test statistic :

(phat - p) / sqrt[(p(1 - p)) /n]

(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]

0.0209 / 0.00828810932

Test statistic = 2.5217

The Pvalue :

Using the Pvalue from Test statistic calculator ; α = 0.05 ;

Pvalue at 95% confidence = 0.005839

Pvalue < α ;

Hence, we reject the Null

Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since​ 2013.

Rectangle measures 2 1/4 meters 1 7/8 meters what is its area
Plss help

Answers

Answer:

4.21875

Step-by-step explanation:

2.25*1.875 =4.21875

The area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.

What is the area of the rectangle?

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have side measures of the rectangle:

[tex]\rm a = 2\frac{1}{4} \\\\\rm b = 1\frac{7}{8}[/tex]

The area of the rectangle A is given by:

[tex]\rm A = (2\frac{1}{4} )\times(1\frac{7}{8} )[/tex]

[tex]\rm A = (\frac{9}{4} )\times(\frac{15}{8} )[/tex]

[tex]\rm A = \frac{135}{32}[/tex]  or

[tex]\rm A =4 \frac{7}{32}[/tex]

Thus, the area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.

Learn more about the area here:

brainly.com/question/14383947

Anyone know how to do this

Answers

Answer:

ill help if u help with me with chemistry

Answer:

A: The conclusion is not valid. You must first be given that BC = AD

Step-by-step explanation:

Then again I could be Wrong. Math is not my strongest

Find the volume of the sphere. Round to the nearest tenth.

The volume is about _____ cubic meters.

Answers

Could You explain more I cannot Under stand Or see the Picture

Which number completes the inequality? 2/3

Answers

Answer: it’s 3/4

Step-by-step explanation: you have to make the Denominator equal for all of them In order to be able to compare. So if you make the denominator equal to 36 you then have to multiply the numerator by the same number you did for the denominator. Once doing that you will find that 24/36 < 27/36 < 28/36

Plz brainliest.

Robert bought an LED television set that is 32 inches long. The diagonal length
measures 40 inches. What is the width of the television screen?
Pythagorean

Answers

You can draw it out
Make a right triangle from the square

Diagonal length = hypothenuse
Use Pythagorean theorem as stated
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
1024 + b^2 = 1600
b^2 = 576
Square root of 576 = 24

Solution: the width is 24 inches

Question 2 of 37
Suppose that F(x) =3/x and G(X) 3/x-10Which statement best compares
the graphs of F(x) and G(x)?

Answers

Answer:

F(x) = x^3  and G(x) = (4x)^3 − 5

so

G(x) = F(4x) -5

the visual effect is

1) shrink horizontally by 1/4

2) shift down by 5

therefore  

the answer is the option

D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.

Step-by-step explanation:

David borrows $15,000 for a new car. He is
charged 6% simple interest per year. How much
interest is charged for 5 years?

Answers

Total interest paid would be $2,399.58.


Kacie has a bag of
pretzels. She eats 1/3 of
the bag and gives 1/2 of
the bag to her brother.
How much of the bag
does she have left?

Answers

Answer: .

Step-by-step explanation:

I need the answer , help me pls

Answers

Answer:

[tex] \large \boxed{y = - \frac{2}{3} x + 2}[/tex]

Step-by-step explanation:

both slopes multiply each others must equal to -1 for perpendicular.

[tex] \large{m_1m_2 = - 1}[/tex]

Let m1 = 3/2

[tex] \large{ \frac{3}{2} m_2 = - 1} \\ \large{3m_2 = - 2} \\ \large{m_2 = - \frac{2}{3} }[/tex]

Therefore -2/3 is perpendicular to 3/2. Because the line passes through (6,-2)

[tex] \large{y - y_1 = m(x - x_1)}[/tex]

Given (x1, y1) = ordered pair

Therefore (x1, y1) = (6,-2)

and m = - 2/3

[tex] \large{y + 2 = - \frac{2}{3} (x - 6)}[/tex]

Write in slope-intercept form.

[tex] \large{y = - \frac{2}{3} x + 4 - 2} \\ \large{y = - \frac{2}{3}x + 2}[/tex]

What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because it has two parallel side and and other are just lines but being quadrilateral its sum is 360

you get a haircut that costs $23. You want to tip the barber 10%. How much tip will you leave him?

Answers

Answer:

$2.30

Step-by-step explanation:

Multiply 23 by .10 to get 2.3

2.3 is 2 dollars and 30 cents

Answer:

$2.30

Step-by-step explanation:

multiply 23 by the decimal form of 10% (0.10)

23*0.10=2.3

An airliner travels 95 miles in 12 minutes. What is its speed in miles per hour?​

Answers

Answer:

475 miles per hour

Step-by-step explanation:

the plane traveled 95 miles in 12 minutes. the first thing we need to do is determine how many 12 minutes go into 1 hour. 12 minutes is repeated 5 times in order to get a total of 60 minutes and 60 minutes is 1 hour. the final thing we need to do is multiply 95 by 5 to get the total number of miles per hour traveled. the total of that is 475 miles per hour which is the answer

written math;

60/12=5

95*5=475

answer= 475 miles per hour

What is the inverse of y=2x^2-8

Answers

Answer:

f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2

keep it under whole root  

 

Step-by-step explanation:

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