Divide (3x^4-2x^3+4x-5) / (x^2+4)

Answers

Answer 1

3x ⁴ = 3x ² • x ². Then

(3x ⁴ - 2x ³ + 4x - 5) - 3x ² (x ² + 4) = -2x ³ - 12x ² + 4x - 5

-2x ³ = -2x • x ². Then

(-2x ³ - 12x ² + 4x - 5) - (-2x) (x ² + 4) = -12x ² + 12x - 5

-12x ² = -12 • x ². Then

(-12x ² + 12x - 5) - (-12) (x ² + 4) = 12x + 43

So we've shown

[tex]\displaystyle \frac{3x^4-2x^3+4x-5}{x^2+4} = 3x^2 - \frac{2x^3+12x^2-4x+5}{x^2+4} \\\\ = 3x^2 - 2x - \frac{12x^2-12x+5}{x^2+4} \\\\ = \boxed{3x^2 - 2x - 7 + \frac{12x+43}{x^2+4}}[/tex]


Related Questions

A collection of 30 coins consists of dimes and nickels. The total value is ​$1. 95How many dimes are​ there?

Answers

21 nickels and 9 dimes
9 dimes and 21 nickels

pls halllllllpppppppp

Answers

Answer:

85 degrees

Step-by-step explanation:

To find the range, take the high temperature and subtract the low temperature

40 - -45

40 + 45

85

The range is 85 degrees

Answer:

85

Step-by-step explanation:

The definition of range is the subtraction between the highest and lowest numbers.

In this problem, there are only two numbers so they will be subtracted.

40 - -45

40 + 45 = 85

The range is 85.

Hope this helped.

Joes bait shop brought in a gross profit in sales of $4,100.00 in the month of June. During the same month their operating expenses totaled $1990.00. Calculate the net income of the bait shop for the month of June

Answers

Answer:

2110

Step-by-step explanation:

4100-1990=2110

Help
Plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

angle G

sin inverse (21/29) = 46.4

GH

c^2 - b^2 = a^2

29^2 - 21^2 = a^2

a = √(29^2 - 21^2)

GH = 20

therefore ans is B) <G = 46.4º, <I = 43.6º, GH = 20

Can someone please help
Me

Answers

Answer:

$3735

Step-by-step explanation:

2/5 = 8/20

8/20 + 7/20 = 15/20 = 3/4

3/4*4980 = 3735



Solve for x using the
distributive property.
6(2 - 6x) = -24

X ?

Answers

⇛6(2 - 6x) = -24

⇛12 - 36x = -24

⇛-36x = -24 - 12

⇛-36x = -36

⇛x = -36/-36

⇛x = 1

Answer: X = 1

Hope this helps

the image is located below

Answers

Answer:

288 ft³

Step-by-step explanation:

Volume of the pyramid,

base area × height × (1/3)

= (9×8)×12/3

= 72×4

= 288 ft³

Please help‼️
Given O below, if XY and YZ are congruent, what is the measure of chord XY?

Answers

Answer:

11.2

Step-by-step explanation:

yz = 11.2

since the corresponding arc of yz and xy are same, their measures will ba same too

Answered by GAUTHMATH

Answer:

11.2

Step-by-step explanation:

good luck!

please help me asap!!!!!

Answers

Answer:

392

Step-by-step explanation:

1.49×10⁸/3.8×10⁵ = 392

Two cards are selected with replacement from a standard deck of 52 cards. Find the probability of selecting a heart and then selecting a diamond.

Answers

Answer: 50.2 is it  

Step-by-step explanation: thats easy

Probability helps us to know the chances of an event occurring. The probability of selecting a heart and then selecting a diamond is 144/2652.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Two cards are selected with replacement from a standard deck of 52 cards. Therefore, the probability of selecting a heart and then selecting a diamond is,

Probability = (12/52) × (12/51)

Probability = 144/2652

Hence, The probability of selecting a heart and then selecting a diamond is 144/2652.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

what is the circumference of a circle with 60 in. as the radius

Answers

Answer:

60π

Step-by-step explanation:

circumference of a circle = 2πr, where r = radius

given r = 60 in

2πr = 2×π×60

= 60π

= 188.5 (rounded to the nearest tenth)

6.(a) A laptop was bought at Canadian $ 770. If the tax of 20% and 13% VAT should be paid, find the least selling price of it in Nepali rupee that prevents the shopkeeper from loss?​

Answers

The LEAST selling price of the laptop should be ;

$1024.1 in other to avoid loss.

Price of laptop = $770

Tax = 20%

VAT = 13%

TO avoid loss ;

both the VAT percentage and TAX must be added to the price of the laptop:

Total percentage = VAT + TAX = (20 + 13) = 33%

THEREFORE, Least selling price should be :

Price of laptop * (1 + 33%)

770 * 1.33

= $1024.1

Learn more about TAX :

https://brainly.in/question/31818297

Find the surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet.
988 ft2
996 ft2
980 ft2
1000 ft2

Answers

Answer: 996 ft2

Step-by-step explanation:

Add up the area of all 6 sides of the prism:

(10 · 13) + (10 · 13) + (10 · 16) + (10 · 16) + (16 · 13) + (16 · 13)

= 130 + 130 + 160 + 160 + 208 + 208

=996 ft²

Answer:

B) 996 ft2

Step-by-step explanation:

please help me with this

Answers

9514 1404 393

Answer:

  92°

Step-by-step explanation:

The "givens" tell you the E and F are midpoints of their respective segments. That means EF ║ AB and angles DBF and EFC are "corresponding" angles with respect to transversal BC and those parallel lines. Corresponding angles are congruent, so ...

  m∠DBF = m∠EFC = 92°

Find the missing side. Round your answer to the nearest tenth

Answers

Answer:

14.7

Step-by-step explanation:

tan(73)=48/x

or, x=48/tan(73)

or, x=14.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

A swimmer dove off a board that was 50 ft above the water. The swimmer reached a depth of 15 ft in the pool. What number represents the swimmer's original height, in feet?​

Answers

9514 1404 393

Answer:

  50

Step-by-step explanation:

The number you choose depends on the location you consider to be zero height.

If we consider the surface of the pool to be zero height, and "up" to be the positive direction for measuring height, then the appropriate number for the original 50-ft height is 50.

Heather has $20 in her purse she earn some money at work and add it to the money in her purse at the end of the day she has $95 in her purse use M as a variable

Answers

Answer:

M=$75

Step-by-step explanation:

I used M for money that Heather earned.

$20+M=$95

Solve the equation for the given variable
-2(-2x + 3) = -3x + 10
Round your answers to the nearest tenths place
Help meee

Answers

[tex] - 2( - 2x + 3) = - 3 x+ 10[/tex]

[tex]4x - 6 = - 3x + 10[/tex]

[tex]4x + 3x = 16[/tex]

[tex]7x = 16[/tex]

[tex]x = \frac{16}{7} [/tex]

[tex]x = 2.2857[/tex]

[tex]x = 3[/tex]

What is the solution to the system of equations below?

2x+3y=6
x-3y=9

Answers

Answer:

Step-by-step explanation:

2x + 3y = 6

2x = 6-3y

x = (6-3y)/2

x - 3y = 9

(6-3y)/2 -3y = 9

(6-3y)/2 -6y/2 = 9

(6-9y)/2 = 9

6 - 9y = 9×2

-9y = 18-6

y = 12/-9

y = -4/3

2x + 3y = 6

2x + 3(-4/3) = 6

2x -4 = 6

2x = 6+4

2x = 10

x = 10/2

x = 5

Therefore x = 5 and y = (-4/3)

I used subsitution method

please click thanks and mark brainliest if you like :)

Answer:

x = 5; y = -4/3

Step-by-step explanation:

One equation has 3y. The other equation has -3y. Add the equations to eliminate y and solve for x.

     2x + 3y = 6

(+)     x - 3y = 9

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

      3x        = 15

x = 5

2x + 3y = 6

2(5) + 3y = 6

3y + 10 = 6

3y = -4

y = -4/3

Answer: x = 5; y = -4/3

Tại sao số mắt xích không được là bội số của số răng đĩa xích

Answers

Answer:

Nên sử dụng số răng lẻ cho đĩa xích dẫn động kết hợp với số lượng mắt xích chẵn để mài mòn đồng đều trên răng và trục lăn. Trong trường hợp này, một răng cụ thể của bánh xích không tiếp xúc với một mắt xích cụ thể của xích trong mỗi lần quay.

Step-by-step explanation:

Translated

It is preferable to use an odd number of teeth for the driving sprocket in combination with an even number of chain links for uniform wear and tear on the teeth and rollers. In this case, a particular tooth of the sprocket wheel does not come in contact with a particular link of the chain for every rotation.

50% of 80
50% of 48
50% of 15
25% of 120
25% of 90

Answers

1. 40
2. 24
3. 7.5
4. 30
5. 22.5

Can someone check my answers if they are correct or incorrect? If it is incorrect, please let me know why it is incorrect please.

Answers

your answer is correct :)

solve for y then find the slope and y intercept and graph
y=4x+3

y=
b=
m=

Answers

Answer:

y = 4x+3

m =4

b =3

Step-by-step explanation:

y=4x+3

This is already solved for y

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+3

m =4

b =3

What is the volume of this regular prism?

54.97 cubic inches
8.91 cubic inches
109.95 cubic inches
21.99 cubic inches

Answers

Answer:

A

Step-by-step explanation:

The volume of prism is b*h, base area is (2.5)*(3.24*(1.1)=8.91. Hence volume is 8.91*6.17=54.97

PLEASE HELP THIS IS DUE ASAP!!!!!!!!!!!!!!

Answers

the answer is 1/12

the first rolling a 4 has a 1/6 chance of happening and half of the numbers on the die are odd, so 1/6*1/2=1/12

A lady wearing a McDonalds t-shirt with a delicious-looking Big Mac on it asks which fast food restaurant is your favourite. This leads to which type of bias?


a) Response Bias

b) Sampling Bias

c) Measurement Bias

d) Non-response Bias

Answers

The correct answer is a Response Bias

Write a 6-digit number that fits the description.

1. The value of its thousands digit is 5,000.
2. The value of its hundreds digit is 700.
3. Its tens digit is 2 less than the thousands digit.
4. Its hundred thousands digit is the same as the hundreds digit.

The number is?​

Answers

Answer:

175731 is one of the answers of the 6 digit number

some others are:

275732

375733

475734

575735

675735

775734

875732

The 6-digit number is 175731.

What is the place value strategy?

The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your places values, such as tens and hundreds. It is possible to employ enlarged notation or compensation. Using regrouping techniques, you can make the problem easier by compensating for addition.

Let the number would be ABCDEF

Given the condition that the value of its thousands of digits is 5,000.

So C = 5

Given the condition that the value of its hundreds of digits is 700.

So D = 7

Given the condition that Its tens digit is 2 less than the thousand digits.

So E = 5-2 = 3

Given the condition that Its hundred thousand digits is the same as the hundred digits.

So B = 7

Therefore, all possible answers:

275732

375733

475734

575735

675735

775734

875732

Hence, the 6-digit number is 175731

Learn more about the place value strategy here:

brainly.com/question/654419

#SPJ2

Hey I need helping with solving thank you

Answers

Answer:

the answer to this equation is c (10)

what is the answer to EVAULATE 8+-9+-6

Answers

Answer:

11

Step-by-step explanation:

8 + 9 + -6

8 + 9 = 17

17 + (-6) = 11

Answered by Gauthmath

A one lane highway runs through a tunnel in the shape of one half a sine curve cycle

Answers

The sine curve equation, y = 10·sin(x·π/24), that models the entrance of the

tunnel with a cross section that is the shape of half of a sine curve and the

height of the tunnel at the edge of the road, (approximately 7.07 ft.) are

found by applying the following steps

(a) The equation for the sine curve is y = 10·sin(x·π/24)

(b) The height of the tunnel at the edge of the road is approximately 7.07 feet

The reason for the above answers are presented as follows;

(a) From a similar question posted online, the missing part of the question

is, what is the height of the tunnel at the edge of the road

The known parameters;

The shape of the tunnel = One-half sine curve cycle

The height of the road at its highest point = 10 ft.

The opening of the tunnel at road level = 24 ft.

The unknown parameter;

The equation of the sine curve that fits the opening

Method;

Model the sine curve equation of the tunnel using the general equation of a sine curve;

The general equation of a sine curve is y = A·sin(B·(x - C) + D

Where;

y = The height at point x

A = The amplitude = The distance from the centerline of the sine wave to the top of a crest

Therefore;

The amplitude, A = The height of half the sine wave = The height of the tunnel = 10 ft.

D = 0, C = 0 (The origin, (0, 0) is on the left end, which is the central line)

The period is the distance between successive points where the curve passes through the center line while rising to a crest

Therefore

The period, T = 2·π/B = 2 × Opening at the road level = 2 × 24 ft. = 48 ft.

T = 48 ft.

We get;

48 = 2·π/B

B = 2·π/48 = π/24

By plugging in the values for A, B, C, and D, we get;

y = 10·sin((π/24)·(x - 0) + 0 = 10·sin(x·π/24)

The equation of the sine curve that fits the opening is y = 10·sin(x·π/24)

(b) The height of the tunnel at the edge of the road is given by substituting

the value of x at the edge of the road into the equation for the sine curve

as  follows;

The width of the shoulders = 6 feet

∴ At the edge of the road, x = 0 + 6ft = 6 ft., and 6 ft. + 12 ft. = 18 ft.

Therefore, we get;

y = 10 × sin(6·π/24) = 10 × sin(π/4) = 5×√2

y = 10 × sin(18·π/24) = 10 × sin(3·π/4) = 5×√2

The height of the, y, tunnel at the edge of the road where, x = 6, and 18 is y = 5·√2 feet ≈ 7.07 ft.

Learn more about the sine curve here;

https://brainly.com/question/3827606

Other Questions
At a university, the percentages of Distinction", "Merit", and Pass' in students are 10%, 20%70%, respectively. The probability that a D. M. P student obtain a scholarship are 0.8.0.3 and0.05, respectively. What are the proportions of D. M. P student among scholarships? she ....... absent from class in the last days use the information in the diagram, set up a proportion to solve for the height of the tree stuck on a maths question please help with an explanation thank you stay safe :) What problem was the caused by the quick growth of tobacco farming in Jamestown? One activist who worked with government officials in the 1960s to help farm workers wasRussell Means.Dennis Banks.Cesar Chavez.Dolores Huerta. What technique can be used as the first step to identifying bacteria? how to do?? helppppp national heritage reflect our identity and glory justify this statement Finer Company uses a sales journal, purchases journal, cash receipts journal, cash payments journal, and general journal. Journalize the following transactions that should be recorded in the sales journal. May 2 Sold merchandise costing $450 to B. Facer for $675 cash, invoice no. 5703. 5 Purchased $2,600 of merchandise on credit from Marchant Corp. 7 Sold merchandise costing $1,215 to J. Dryer for $1,762, terms 3/10, n/30, invoice no. 5704. 8 Borrowed $8,000 cash by signing a note payable to the bank. 12 Sold merchandise costing $304 to R. Lamb for $486, terms n/30, invoice no. 5705. 16 Received $1,709 cash from J. Dryer to pay for the purchase of May 7. 19 Sold used store equipment (noninventory) for $900 cash to Golf, Inc. 25 Sold merchandise costing $500 to T. Taylor for $785, terms n/30, invoice no. 5706. Plz Help I have One more time To retake and I can't fail it.. Use what you know about decomposing fractions to write 11/10 as a mixed number. Help please :( what is an interest? Help on number 1 pls Please help me solve this problem Bialy Company had the following information: Total sales $120,000 Total variable cost 48,000 Operating income 12,000 What is the breakeven sales revenue Tonya is always on time for work. She does not leave until she has finished her work, and always strives to make sure customers are satisfied with their service. She is someone her clients and colleagues can count on. Tonya is oh a) flexible. SB) tolerant. positive. d) reliable. Question 7 (5 What is the device that converts the signals to and from the wires so that the data can be sent and received by the computer?Adomain name systemBnetworkCrouterDIP address A distinctive difference between techniques of Jean-Auguste-Dominique Ingres and Eugne Delacroix in depicting harem scenes is related to The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x h| is solid.Use the slider to change the value of h. How does changing the value of h affect the vertex?Positive values of h shift the graph .Negative values of h shift the graph