Which is a rational function?

A. y=sqrt x-3
B. y=5
C. y=x^2-3x+5
D. y=x-5/x

Answers

Answer 1
i believe its D.  y=x-5/x

Answer 2
I would say D. because a rational function is a fraction and has the property that both its numerator and denominator are polynomials. In other words, R(x) is a rational functio.

Related Questions

Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours that she works?

Answers

If Mary earns 7$ an hour, we need to multiplicate 7$ by the number of hours worked for the entire week so we can get the salary per week. And when we want to know how many hours she had worked, we have to "transform" the equation : Salary per week = salary per hours x worked hours Here, we know to informations : salary per hours and salary per week. Worked hours = salary per week / salary per day Worked hours = 143.50 / 7 Worked hours = 20.5 The greatest number of hours thats he works is 20h30.
Final answer:

Mari works at most 20 hours per week.

Explanation:

To find the greatest number of hours that Mari works, we can divide her total weekly earnings by her hourly wage. In this case, we divide $143.50 by $7. The result is approximately 20.5. Since Mari cannot work a fraction of an hour, we round down to the nearest whole number. Therefore, the greatest number of hours she works is 20 hours.

HELP PLEASE!!!!!!!
Simplify 6r · s · 4rt.
10rst
10r2st
24r2st

Answers

The answer would be the third choice.
Here’s why:

First multiply 6 and 4 to get 24.
The multiply r, r, s, and t to get r^2st.
The answer is 24r^2st.

Answer:

24r^2*s*t

Step-by-step explanation:

We can simply the following expression by looking at the which terms are common:

[tex]6*r*s*4*r*t[/tex]

We have two of r and according to the product rule we can add there exponents:

[tex]r*r=r^(1+1)=r^2[/tex]

Therefore the expression can be simplified as:

[tex]=6*4*s*t*r^2=24*s*t*r^2[/tex]

How is 10 ounces written using apothecary abbreviations?

Answers

Apothecary abbreviations or apothecary symbols are usually found in medical recipes. For this case, we are to write 10 ounces into apothecary symbols. In this abbreviation, numbers are written in Roman Numeral and the unit precede the number, hence:

oz x

Final answer:

10 ounces can be written as 10 oz in apothecary abbreviations.

Explanation:

To write 10 ounces using apothecary abbreviations, we need to convert ounces to the appropriate apothecary unit. In the apothecary system, 1 ounce is abbreviated as oz. So, 10 ounces would be written as 10 oz in apothecary abbreviations.

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Wilma and Betty are playing a number game. Wilma tells Betty, "I'm thinking of a number between 1 and 10. If I take the number and add 4 to it and then multiply that by 3, I get 30." What number is Wilma thinking of?

Answers

Just work this problem out backwards. First write out an equation.
(x+4)•3=30

Now solve :

(x+4)•3=30

3x+12=30
-12   -12

3x=18
/3   /3

x=6

Your answer is 6!

Hoped I helped!

Three consecutive odd integers have a sum of 33 . find the integers.

Answers

9 + 11 + 13 = 33
9, 11, and 13 are all odd integers and are consecutive. When added, they total to give you 13

The measure of each interior angle of a regular polygon is eleven times that of an exterior angle how many sides does the polygon have

Answers

let there be x sides.
180(x-2)/x=11*360/x
   180(x-2)=11*360
            x-2=11*2
            x-2=22
                x=24

the polygon has 24 sides.

The polygon would have 24 sides.

[tex]\frac{180n -  360}{n}[/tex] ≈ [tex]\frac{360}{n}[/tex] ([tex]\frac{11}{1}[/tex])

[tex]\frac{180n -  360}{n}[/tex] = [tex]\frac{3960}{n}[/tex]

180n - 360 = 3,960

180n = 4,320

n = 24

125m on the ground corresponds to 2.5 cm on a map. What is the actual distance between two objects if they are 4.2 cm apart on the map?

Answers

2.5cm = 125m
.5cm = 25m
.1cm = 5m
4.2cm = 21m
The distance is 21m
it would be 210 m 

You have 125 m with 2.5 cm so we divide 125 by 2.5 to find out how many m are represented by each meter in the graph. We get 50, then multiply 50 by 4.2 to get the answer.

Select the equation that most accurately depicts the word problem.

The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.

68 = 9L + 2
68 = 2L + 2(9)
68 = 9(L + 2)
68 = + 2(9)
68 = +
68 = 2(L - 9)

Answers

68 = 2L + 2(9)

hope that helps, God bless!

Answer:

68 = 2L + 2(9)

Step-by-step explanation:

Which set of ordered pairs could be generated by an exponential function?

A. (1, 1) (2, 1/2) (3, 1/3) (4, 1/4)

B. (1, 1) (2, 1/4) (3, 1/9) (4 1/16)

C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)

D. (1, 1/2) (2, 1/4) (3, 1/6) (4, 1/8)

Answers

the answer is C
y=2^-x

The correct answer is:

C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)

Explanation:

In order to be an exponential function, the y-coordinates of each point should be multiplied by a constant to get the next y-coordinate.  For C, we multiply by 1/2:

1/2(1/2) = 1/4; 1/4(1/2) = 1/8; 1/8(1/2) = 1/16

This means it is an exponential function.

A cylinder has a radius of 6 inches and a height of 2 feet. Which of the following should be done first in order to find the volume of the cylinder?

convert the radius and the height to the same unit
determine the diameter of the circle
calculate the circumference of the circle
multiply the circumference of the circle by the height of the cylinder

Answers

the significant components, the radius and the height, are in inches and feet respectively, you'd need to convert them both to the same unit, whichever it may be, meters or feet or inches or millimeters, so long is the same, then use the volume of a cylinder equation to get it.

Which equation exemplifies the Associative property of addition?

8+2=2+8

4+(2+1) = (4+2)+1

4+5=1+8

9(5•6)=(9•5)6

Answers

1) C(2
2) A(-4
3) B(4+(2+1)=4+2)+1
4) D(3(2x4)=(3x2)4
5) A(5+6=6+5
6) C(12x1=1x12
7) D(Exponents
8) A(addition and subtraction
9) A(55
10) B(19

Answer:

Equation which exemplifies the associative property of addition is:

4+(2+1) = (4+2)+1

Step-by-step explanation:

The associative property of addition says that:

if a,b and c are the three terms

Then,

a+(b+c)=(a+b)+c

which is given in the equation:

4+(2+1) = (4+2)+1

Hence, equation which exemplifies the associative property of addition is:

4+(2+1) = (4+2)+1

How to find third point between two points given coordinates?

Answers

Using the midpoint formula, you can find the third point in between 2 given points. 

Put in values into the equation; (x₁+x₂)/2, (y₁+y₂)/2 

This equation will give you the coordinates for the point in the middle (x, y). 

Hope I helped :) 

If a 16-ounce box of candy costs $8.95, how much does one ounce cost? Round your answer to the nearest cent.

Answers

One ounce will cost 55 cents
The first step would be to create an equation for this problem. You would divide the cost per ounce by the number of ounces. 
$8.95 ÷ 16 = ?

Now, all you would have to do it solve it. 
$8.95 ÷ 16 = $0.559375

The last step would be to round to the nearest cent. 
$0.559375 = $0.56

A box of candy cost $0.56 per ounce. 

I hope this helps!

3(6/8−1/2)+0.25 Please help with fractions

Answers

Parenthesis first. 6/8 - 1/2 = 1/4 or 0.25

Now we do 1/4 * 3 = 3/4 or 0.75

Finally, we do 3/4 + 0.25 [1/2] = 5/4 or 1.

Hope this helps! ☺♥
Hey Bryce!

[tex]3( \frac{6}{8} - \frac{1}{2}) + 0.25[/tex]
[tex]3( \frac{3}{4} - \frac{1}{2}) + 0.25[/tex]
[tex]3( \frac{1}{4}) + 0.25 [/tex]
[tex] \frac{3}{4} + 0.25 = 1 [/tex]


Good luck!

A​ line-marking machine lays down lime powder to mark two equal foul lines on a playing field. If each line for this field measures 311 ​feet, how many feet of lime powder will be​ deposited?

Answers

To answer this question, you need to understand how to understand the problem description. In this question, the machine needs to make two identical foul line that has 311feet length each. Then the total lime powder needed would be:

2 lines * (311feet/lines)= 622 feet.

The machine will deposit 622 feet of lime powder to mark both foul lines on the playing field.

To solve this problem, we need to consider that the line-marking machine is laying down lime powder to mark two equal foul lines on a playing field. Each foul line measures 311 feet.

Since there are two lines of equal length, we simply need to add the lengths of these two lines together to find the total amount of lime powder deposited.

Here is the calculation:

Length of one foul line = 311 feet

Number of foul lines = 2

Total length of lime powder deposited = Length of one foul line [tex]\times[/tex] Number of foul lines

Total length of lime powder deposited = 311 feet [tex]\times[/tex] 2

Total length of lime powder deposited = 622 feet.

What is the perimeter of a polygon with vertices at (−2, 1) , ​ (−2, 4) ​, (2, 7) , ​ (6, 4) ​, and (6, 1) ​?

Enter your answer in the box. Do not round any side lengths.​

____ units

Answers

First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
[tex]d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} } [/tex]
[tex]d1 = \sqrt{{(1 - 4)}^{2} + {( - 2 - - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3[/tex]
[tex]d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5[/tex]
[tex]d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\ = \sqrt{{(3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5[/tex]
[tex]d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3[/tex]
[tex]d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4 [/tex]
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units





The other answer was using the formula correctly through most of the problem, but made a mistake when finding the last distance (#5). The person took away (-2-6 = - 4), which is incorrect. The correct answer is -8 because your adding two negatives. So, the correct answer for the whole problem is 24 units.

Good job to the person who answer they did the whole math problem - just made a little mistake at the end.

A CD tower is shaped like a cylinder and holds CDs with a diameter of 4.75 inches. If the CD tower is 12 inches tall, what is the volume, in cubic inches, that it can hold? Use 3.14 for pi. Round your answer to the nearest hundredth.
212.54 in3
231.56 in3
850.16 in3
867.34 in3

Answers

For the Volume of a cylinder think of it as a bunch of slices of a circle stacked on top of each other. Therefore the formula is the area of the circle multiplied by the height. The area of a circle is pi(r)^2
(3.14)[.5(4.75)]^2(12)=212.53875
=212.54 in^3

Answer: 212.54 in3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder: π r² h

Where:

r = radius (also r= diameter /2) h= height

Replacing with the values given:

r = 4.75/2 = 2.375 in

h = 12in

V = π r² h

V= π (2.375)² (12) = 3.14 (5.640625) 12 =212.54 in3

So, the correct option is 212.54in3

Feel free to ask for more if needed or if you did not understand something.

Find the derivative of f(x) = 7 divided by x at x = 1.

Answers

I find it best to switch everything exponents when taking derivatives.
F(x) = 7/x
Same as..
F(x) = 7x^-1
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7

The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.

What is derivative?

A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.

here, we have,

given that,

the derivative of f(x) = 7 divided by x at x = 1.

so, we get,

F(x) = 7/x

Same as..

F(x) = 7x^-1

we know that,

d/dx (x^n) = n*x^n-1

so, using this, we get,

Take derivative..

F'(x) = -7x^-2

Plug in x = 1

F'(1) = -7(1)^-2

F'(1) = -7

Hence, The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.

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Is this statement true or false? If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.

Answers

If you are given a pair of alternate interior angles that are congruent, then the two lines cut by the transversal are parallel. Below the two angles shown are congruent and they are alternate interior angles; therefore, we can say that a ll b. 

The statement " If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are paralle " is true.

What is Property of Parallel lines?

If the corresponding angles created by any two lines are equal, then the lines are said to be parallel.If the alternate internal angles created are equal, any two lines are considered to be parallel.If the alternate outside angles created are equal, any two lines are considered to be parallel.

Given:

If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.

We know whenever we have parallel line intersected by transversal line then we Alternate Interior Angle, Corresponding Angle, Alternate Exterior Angle, are congruent.

Thus, the statement showing when we have Alternate Interior Angle congruent then the lines were be parallel lines.

Hence, the statement is True.

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How to find the rate of change of the volume of cone?

Answers

You can use calculus ( related rates).  Given the rate os change of the radius for example you can find the rate of change of  volume using differential calculus.

Write an equivalent expression for 5x + 2y + 3x

Answers

Well, if you combine like terms that version of this equation would be equivalent. 
5x + 2y + 3x = 8x + 2y

I'm not sure if this is the answer you're looking for but, I hope this helps!

The equivalent expression is 8x + 2y.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x + 2y + 3x

Add like terms.

8x + 2y

Thus,

The final expression is 8x + 2y.

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((8x1.95) + (3x2.95) + 10.95) x 1.06

Answers

The answer is 37.524 my friend
The answer is 37.524

Chris draws an image of two lines that lie in the same plane and are equidistant at all points .Which of this describes the image drawn by Chris

Answers

Answer: Parallel lines.

By definition. parallel lines are equidistant at all points.

The answer for this question is parallel lines

A survey at your school found that 792 in 1,220 students have a cell phone. what percent of the students in school has a cell phone? round to the nearest hundredth where necessary.

Answers

792/1220=0.6491...
=0.65
0.65x100=65
So 65% of the students in the school has a cell phone.

64.84% of the students in the school have a cell phone.

To find the percentage of students with cell phones, divide the number of students with cell phones by the total number of students, then multiply by 100.

Find the fraction of students with cell phones: [tex]\( \frac{792}{1220} \)[/tex].

Divide to get the decimal: [tex]\( \frac{792}{1220} = 0.6484 \)[/tex].

Multiply by 100 to get the percentage: [tex]\( 0.6484 \times 100 = 64.84\% \)[/tex].

A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which has the fastest average speed

Answers

First, it is important to know that speed is equal to distance divided by time. I took a picture of my work. Let me know if you still have questions or cannot read something I've written. Thank you!

The most Kilometers traveled per one hour was traveled by THE BOAT at 75 Km/h. Therefore, the boat had the fastestaverage speed.

PLEASE SHOW ALL YOUR WORK TO GET BRAINLIEST AWARD

Solve by using a matrix

{7x+2y=5
{13x+14y=-1

Answers

 7x+2y=5;13x+14y=-1 Solution : {x,y} = {1,-1}  System of Linear Equations entered :  [1] 7x + 2y = 5   [2] 13x + 14y = -1 Graphic Representation of the Equations : 2y + 7x = 5 14y + 13x = -1 Solve by Substitution :

// Solve equation [2] for the variable  y  
 

[2] 14y = -13x - 1 [2] y = -13x/14 - 1/14

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

  [1] 7x + 2•(-13x/14-1/14) = 5   [1] 36x/7 = 36/7   [1] 36x = 36

// Solve equation [1] for the variable  x  

  [1] 36x = 36    [1] x = 1 

// By now we know this much :

  x = 1   y = -13x/14-1/14

// Use the  x  value to solve for  y  

  y = -(13/14)(1)-1/14 = -1 Solution : {x,y} = {1,-1}  Processing ends successfully

On a clear day you can see about 27 miles from the observation deck of the Empire State Building in New York City. Using the formula below, estimate the height in feet ,h, of the observation deck.

Answers

The answer is 1050 or answer c. Goodluck on the rest of the quiz

Answer:

Step-by-step explanation:

Alright, lets get started.

Distance we can see from the building d is given as 27 miles.

We are asked to find height of the building h

The formula is given as [tex]d=\frac{5}{6}\sqrt{h}[/tex]

Plugging the value of d

[tex]27=\frac{5}{6}\sqrt{h}[/tex]

Cross multiplying

[tex]\sqrt{h}=\frac{6}{5}*27[/tex]

[tex]\sqrt{h}=32.4[/tex]

Taking square root on both sides

[tex]h=1049.76[/tex]

So, the height of the observation desk is 1050 feet.   :   Answer

Hope it will help :)

Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. This table shows how much water, in gallons, remains at different times during the day. Time (h) 2 4 6 8 Water remaining (gal) 43 36 29 22 What is the equation that represents Yulian’s situation, where x represents the time and y represents the amount of water? Enter your answer in the boxes. y−29=___ (x−___ )

Answers

The given data is
time (h):    2   4   6   8
gallons:  43 36 29 22

A graph of the data shows a linear relationship.
Therefore in slope-intercept form, let
(y - 29)/(x - 6) = m
where m = the slope of the straight line.

Calculate the slope.
m = (43 - 22)/(2 - 8) = -7/2

Answer:  [tex]y-29 = - \frac{7}{2} (x-6)[/tex]

The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma house . How many cups of oil did your car leak ?

Answers

Well if your leaking a rate of 1.2 oz per mile and they drove 15 miles then you simply multiply 1.2 times 15 and get 22.5 oz but we need to find out how many cups of oil so you need to convert it .
There are 8 oz in a cup so
8 times 3 is 24 which is to high
So 8 times 2 is 16 leaving about 4 oz left
So it would be 2 cups and 4 oz leaked out

Ps if u could rate my answer that would be great

The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house. Therefore, it would be 2 cups and 4 oz leaked out.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house.

There are 8 oz in a cup

So,

8 x 3 = 24 which is too high

So,

8 x 2 = 16 leaving about 4 oz left

Therefore, it would be 2 cups and 4 oz leaked out.

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Can y'all help me with 7,8,9?????

Answers

Problem 7.
The two trains travel for the same amount of time, but because their speeds are different, they travel different distances. The two distances add to 450 miles.

distance = speed * time


For the commuter train, you have distance d1, time t, and speed s.
For the express train, you have distance d2, time t, and speed s + 25.

The time is 6 hours, so,
For the commuter train, you have distance d1, time 6, and speed s.
For the express train, you have distance d2, time 6, and speed s + 25.

d = st

Commuter:
d1 = st

Express
d2 = (s + 25)t

Add the equations:
d1 + d2 = st + (s + 25) t
d1 + d2 = st + st + 25t
d1 + d2 = 2st + 25t
d1 + d2 = (2s + 25)t

The two distances add to 450 miles, d1 + d2 = 450, and t = 6.

450 = (2s + 25)(6)

75 = 2s + 25

50 = 2s

s = 25

The commuter train's speed is 25 mph.
The express train's speed is 50 mph.

Check:
distance = speed * time
In 6 hours, the commuter train travels d = 25 mph * 6 hours = 150 miles.
In 6 hours, the express train travels 50 mph * 6 hours = 300 miles.
150 miles + 300 miles = 450 miles.
The distances do add to 450 miles and the speed of the express train is 25 mph faster, so our answer is correct.
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