What is the definition of a rational function?

Answers

Answer 1

Answer:

any function which can be written as the ratio of two polynomial functions.

have a nice day <3


Related Questions

(1 – xi)(5 – i) – (1 + 3xi)(5 – i)
-
Simply

Answers

Answer:

-20xi -4x

Step-by-step explanation:

Which shape is simulator shape one

Answers

Answer:

B

Step-by-step explanation:

a video store is selling previously owned dvds for 40% off the regular price of $15. what is the sale price of the dvds.

Answers

Answer:

$9

Step-by-step explanation:

A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?

40% = 0.4

15 * 0.4 = $6 (Discount)

15 - 6 = $9 (Sale Price)

Therefore the Answer is: $9

1. (3n+2)(n+3)
this is multiplying binomial by a binomial

Answers

Using the distributive property with FOIL:

(3n + 2) ( n + 3)

3n² + 9n + 2n + 6

3n² + 11n + 6

please help me to solve problems ​

Answers

Step-by-step explanation:

4a)

the principle of similar triangles : they have the same angles.

and we do not forget : the sum of all angles in a triangle is always 180 degrees.

a = 180 - 65 - 45 = 70 degrees

b = 65 degrees

c = 70 degrees

b)

same principles.

x = 58 degrees

y = 52 degrees

z = 180 - 58 - 52 = 70 degrees

c)

same principles.

plus the fact that complementary angles around a point on one side of a line are also together 180 degrees.

x = 85 degrees

y = 180 - 40 - 85 = 55 degrees

z = 180 - 85 = 95 degrees

d)

again same principles.

y = 2x (as these 2 angles correspond to each other among the 2 similar triangles).

the angle POQ is again complementary with 87 degrees,

POQ = 180 - 87 = 93 degrees

x + y + 93 = x + 2x + 93 = 180

3x = 87

x = 29 degrees

y = 2x = 2×29 = 58 degrees

ill give brainlest pls

Answers

Answer:

$5.00

Step-by-step explanation:

Answer:

5.00

Step-by-step explanation: this question was already answered but i need the points :p

Solve for x: x-2 =10

Answers

X - 2 = 10

To solve for x add 2 to both sides of the equal sign:

X = 12

Answer:

x = 12

Step-by-step explanation:

Add 2 to both sides of the equation

x−2=10

−2+2=10+2

Simplify

Solution:

x = 12

Josiah skateboards from his house to school 3 miles away. It takes him 36 minutes.

How many minutes will it take Josiah to skateboard to his friend Sebastian’s house, which is 2 1/2

miles from school, if he travels at the same rate that he did from his house to school?


In the box below, type the number that goes in the blank.

Answers

Using the speed - distance relationship, the number of minutes it will take Josiah to cover a distance of 2.5 miles is 30 minutes.

Calculating Josiah's speed :

Speed = (distance ÷ time)

Speed = (3 ÷ 36) = 0.08333 miles per minute.

Time taken to cover a distance of 2.5 miles :

Time taken = (Distance ÷ Speed)

Time taken = (2.5 ÷ 0.08333) = 30 minutes

Therefore, it will take 30 minutes for Josiah to cover a distance of 2.5 Miles

Learn more : https://brainly.com/question/18112348

2×[3+2×(10-3)]=

Pa helppppp

Answers

Step-by-step explanation:

2 × [3 + 2 × (10 - 3)] =

2 × (3 + 2 × 7) =

2 × (3 + 14) =

2 × 17 = 34

Answer:

34

Step-by-step explanation:

2 × [3 +2 × (10 - 3)]=

2 × (3 + 2 × 7)=

2 × ( 3 + 14)=

2 × 17=

34.

help asap plz with my math hw, i will give you thanks and 5stars

Answers

Answer:

it would be 15 or 14 that only came up when I did it

Step-by-step explanation:

Rationalize the denominator.
– 5x4
✓4x +7

Answers

Answer:          (-5x⁴)(√(4x + 7))                                  4x + 7

Step-by-step explanation:

The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.

We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted  (√x × √x = x).

   - 5x⁴         ×      √(4x + 7)    =    (-5x⁴)(√(4x + 7))  

√(4x + 7)              √(4x + 7)                 4x + 7

solve for X : 3x²=5x​

Answers

⇒ 3x² - 5x = 0

⇒ (3x - 5) · x = 0

3x - 5 = 0

x = 0

x = 0, 5/3

Solve this one following the linear equations beow agebricaly.Express your answer in simplest form.3(6x-4)=24

Answers

Divide 3 by both sides
6x-4=8
Add 4 on both sides
6x=12
divide 12 by 6
Answer: x=2
3(6x-4)=24
Expand:
3(6x)=18x
3(-4)=-12
That gives, 18x-12=24
Subtract 12 from both sides to get 18x=12
x=12/18
Divide the numerator and the denominator by 6 to get:
x=2/3 which is the simplest form.

Hope this helped

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

Answer:

x=[tex]\sqrt{220}[/tex]

Step-by-step explanation:

Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.

We know that  

a²+b²=c²

Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).

In this case,

x=a

b=6

c=16

So to plug these into the equation, we get:

x²+6²=16²

To isolate x,

we get:

x²=16²-6²

x=[tex]\sqrt{16^2-6^2}[/tex]

[tex]x=\sqrt[]{220}[/tex]

>> Answer

_________

[tex] \: [/tex]

x² = 16² - 6²

x² = 256 - 36

x² = 220

x = √220

x ≈ 14.9cm

A scrapyard had 200 tons of recycled steel. They sold 15 tons per day for several days. If there are 80 tons left at the scrapyard, how many days have passed?

Please explain fully.

Answers

Answer:

8 days

Step-by-step explanation:

200-80= 120

120 ÷ 15 = 8 days

Answer:

SAME AS WHAT HE SAYS

Step-by-step explanation:

HELP ME PLEASE PLEASE PLEASE​

Answers

Answer:

#1)  3 different roots, total 6#2) 3 different roots, total 9#3) 3 different roots, total 4

Step-by-step explanation:

#1

The roots are:

x - 3 = 0 ⇒ x = 3, multiplicity 2x + 1 = 0 ⇒ x = -1, multiplicity 32x + 5 = 0 ⇒ x = -2.5#2

The roots are:

x = 0, multiplicity 3x + 2 = 0 ⇒ x = -2x - 4 = 0 ⇒ x = 4, multiplicity 5#3

The roots are:

x² - 1 = 0 ⇒ (x + 1)(x - 1) = 0 ⇒ x = -1, x = 1x² + 4x + 4 = 0 ⇒ (x + 2)² = 0 ⇒ x + 2 = 0 ⇒ x = -1, multiplicity 2

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20​

Answers

Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8

The smaller triangle can be expressed as :

Side / base = 6/x ----(1)

The larger triangle can be expressed as :

Side / base Side = 6+9 = 15 15/20 - - - - - (2)

Equating (1) and (2) :

6/x = 15 / 20

15x = 20 × 6

15x = 120

x = 120 / 15

x = 8

Therefore, the value of x in the triangle is 8.

Learn more : https://brainly.com/question/25326255

To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.

Answers

The length of PR to the nearest foot is 198.94 feet

Find the diagram attached

From the diagram, the triangle PRE and POC are similar triangles.

Let PR = x

Based on similarity theorem;

PR/RE = PR+RO/OC

x/135 = (x+140)/230

Cross multiply

230x = 135(x+ 140)

230x = 135x + 18,900

230x - 135x = 18,900

95x = 18900

x =18900/95

x = 198.94

Hence the length of PR to the nearest foot is 198.94 feet

Learn more here: https://brainly.com/question/19892143

Write the quadratic equation the has the roots (-1-√2)/3 and (-1+√2)/3 if its coefficient with x^2 is equal to...1

Answers

Step-by-step explanation:

x1+x2 = (-1-√2)/3 + (-1+√2)/3

= -2/3

(x1) (x2) = (-1-√2)/3 × (-1+√2)/3

= -1/9

the equation :

x² -(-2/3)x + (-1/9) = 0

x² + x - 1/9 = 0

The height of a cylinder is 4 millimeters.The circumference of its base is 10 pi mm​

Answers

[tex]\\ \sf\longmapsto C=10\pi mm[/tex]

[tex]\\ \sf\longmapsto 2\pi r=10\pi mm[/tex]

[tex]\\ \sf\longmapsto 2r=10[/tex]

[tex]\\ \sf\longmapsto r=5mm[/tex]

h=4mm

[tex]\\ \sf\longmapsto Volume=V=\pi r^2h[/tex]

[tex]\\ \sf\longmapsto V=\pi (5)^2(4)[/tex]

[tex]\\ \sf\longmapsto V=\pi 25(4)[/tex]

[tex]\\ \sf\longmapsto V=100\pi mm^3[/tex]

volume is 100pi mm³.

What is volume?

In mathematics, volume is the space taken by an object.

Here, given that,

The height of a cylinder is 4 millimeters.=h

The circumference of its base is 10 pi mm​=2r*pi

So, we get,

r=5

Volume =pi*r²*h

             =100pi mm³

Hence volume is 100pi mm³.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

Solve for b. Express your answer as an integer or integers or in simplest radical form. -165= -3-6b^3
Fastest and correct wins brainliest

Answers

I wanna help you but I don’t understand sorry

55000/500 in standard form​

Answers

Answer:

i think it is 110

Step-by-step explanation:

sorrt if i am wrong

How many solutions are there to this equation?

4(x-5)=3x+7

A. 1
B. infinitely many
C. 0

Answers

Answer:

1

Step-by-step explanation:

4x-20=3x+7

x=27

The angles in a quadrilateral are 103.8° , 77° , 111.4° and p°. Calculate the value of p.

Answers

Answer: 67.8°

Step-by-step explanation:

A quadrilateral's interior angles always add up to 360°.

An equality statement can be set up to satisfy this rule:

103.8+77+111.4+p=360

Collect known values

292.2+p=360

Isolate and solve for p

292.2 (-292.2) +p=360 (-292.2)

p=67.8

Answer:

68.6

Step-by-step explanation:

hello sir / mam!

as the opposite sides of quadrilateral should be 180°

111.4+p=180°

p=180-111.4

p=68.6°

therefore the value of p = 68.6°

hope it helps!

A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?

The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

Answers

Answer:

ME TOO

Step-by-step explanation:

Function transformation involves changing the position of a function.

The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

The functions are given as:

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

[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]

Substitute x for f(x) in g(x)

[tex]\mathbf{g(x) = -5x + 2}[/tex]

The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.

The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.

Hence, the correct option is (d)

Read more about function transformations at:

https://brainly.com/question/18213787

HELP ASAP PLEASE I BEG TOU

Answers

Answer:

The graph below

Step-by-step explanation:

Start at -2 on the y-axis and go up 1/2 every space you go on the x-axis

Hope this Helps

9000 dollars is placed in an account with an interest rate of 8%. How much will be in the account after 17 years, to the nearest cent?

Answers

Answer:

$21,240

Step-by-step explanation:

8 percent *9000 =

(8:100)*9000 =

(8*9000):100 =

72000:100 = $720 per years of interest

720* 17

= 12,240

12,240+9,000

= 21,240

21,240 becaus the guy said it was so I hope I get it right

Find the slope of (2 , -7 ) and ( -1 , 6 )


A. 4

B. -6

C. -1/6

D. 6

Answers

Answer:

-13/3

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-7) / -1 - 2

13 / -3

= -13/3

Hello !

Answer:

[tex] \boxed{\sf None \: of \: the \: options \text{:} \: \: m =- \dfrac{13}{3}} [/tex]

Step-by-step explanation:

The slope m of a line passing through two points can be calculated using the following formula:

[tex] \sf m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \\ [/tex]

Let (x₁ , y₁) = (2 , -7)

Let (x₂ , y₂) = (-1 , 6)

Substitute these values into our formula:

[tex] \sf m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{6 - (-7) }{-1 - 2 } = \dfrac{13}{-3}\\ \\ \implies \boxed{\sf m = -\dfrac{13}{3}} [/tex]

Have a nice day ;)

2(x + 4) – 3(x – 6) + 5(x + 1) Simplified completely.

Answers

Answer:

4x+31

Step-by-step explanation:

2(x + 4) – 3(x – 6) + 5(x + 1)

Distribute

2x+8 -3x+18 +5x +5

Combine like terms

2x-3x+5x  +8+18+5

4x+31

What number is subtracted from 2.2 which gives you 0.8765

Answers

Answer:

1.3235

Step-by-step explanation:

If you take 2.2 and subtract .8765 from it you get 1.3235. If you take that and subtract it from 2.2 you get .8765.

Other Questions
an area of strong winds within the jet stream is called a Someone help and plz make sure its right :) will mark brainiest Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for hisnumber of visits with his total ccost? In 2007, the number of tickets sold was again 210.Adult tickets were $2.60 each and student tickets were $1.40 each.The total amount received from selling the 210 tickets was $480.How many student tickets were sold? which power is exercised exclusively by the house of representatives? The king snake is a non-poisonous snake that mimics (copies) the appearance of the poisonous coral snake. How does this help the king snake? Explain how the following transactions would affect U.S. net capital outflow. For each transaction, state whether it represents direct investment or portfolio investment.a.An American cellular phone company establishes an office in the Czech Republic.b.Harrods of London sells stock to the General Motors pension fund.c.Honda expands its factory in Marysville, Ohio.d.A Fidelity mutual fund sells its Volkswagen stock to a French investo Frank Camp's regular hourly pay rate is $11.87 an hour. His overtime pay rate is time and-a-half. How muchis Frank paid per hour for overtime work? which planet takes longer to complete one rotation on its axis than it does to complete one orbit of the sun? A class has 40 students. Number of boys are 6 more than girls. Find number of boysand girls in the class. What Is the slope of the line on the graph? According to the periodic table, which two elements have an atomic mass less than twice their atomic number? You start at (9, 5). You move left 3 units and up 1 unit. Where do you end? What are two examples of the continuing influence of Spanish culture in Mexico? what is the difference between exergonic and exothermic reactions? hi can anyone help with this question thxfirst part of the question is in the picsecond part is here and it is:York to London is a distance of 175milesHow many miles an hour faster was the first part of the journey? a story ending with 'we forgot the past and became friends InstructionsRead the paragraph below and then write 5 questions that you would ask to see if someone understood this paragraph. Your questions should be in Spanish and use the Preterite Tense. Finally, provide the answers to your questions in Spanish as well. Example Question & Answer: Fueron a un museo?- No, ellos fueron a la playa. (You may not use this question) Reading:El ao pasado mis amigos y yo fuimos de vacaciones a la playa. All conocimos a unos amigos de Texas. Hablamos mucho con nuestros amigos. Mi amiga Sara fue a una tienda y ella compr un traje de bao. Despus nadamos mucho en el mar. Mi madre tom el sol pero se olvid de poner su bloqueador de sol. Entonces mi madre pas todo su tiempo en el hotel. El hermano menor de Sara pas el tiempo jugando en la arena. Yo fui a bucear tambin con mis amigos. Vimos unos tiburones y delfines en el mar. Por la noche, cenamos en un restaurante. Comimos mariscos y despues bailamos. No dormimos mucho durante la vacacin. Finalmente yo camin a la playa buscando caracoles. Pasamos unas vacaciones muy buenas.Assignment ChecklistI have done the following:completed the task practice in this lesson to help me with this assignment.used my lesson vocabulary and notes to help me read and understand the paragraph.written 5 questions about this reading using the preterite tensechecked my verbs to be sure they have the correct preterite endings based on the subjects I am talking about.included the answers to my 5 questions in Spanish.proofread my work carefully for errors and misspellings before submitting it. HELP!!!!!!!Using a map, atlas, globe, or online map, which coordinates most closely match the location of Greece's capital, Athens?38 N, 23 E56 N, 85 W33 N, 12 E45 S, 90 W halloween is the ____ most commercially successful holiday