(x5 + y5) ÷ (x + y) please answer ASAP

Answers

Answer 1

Answer:

[tex]\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(x^5+y^5\right)\div \left(x+y\right)[/tex]

[tex]\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}[/tex]

[tex]x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)[/tex]

[tex]=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}[/tex]

Cancel the common factor: x+y

[tex]=x^4-x^3y+x^2y^2-xy^3+y^4[/tex]

Thus,

[tex]\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4[/tex]


Related Questions

$1,000 is borrowed at an interest rate of 8% per year.
a. How much is owed at the end of one year if interest is compounded:
i. monthly?
ii. continuously?
b. How much is owed at the end of three years if interest is compounded
continuously?

Answers

Answer:

1 (240000)

2 (8000)

3(8160000)

Find the polynomial equation of lowest degree, with real coefficients and leading coefficient 1 1 that has the given roots.

Answers

Answer:

x^4 + 2x^3 + 3x^2 + 2x + 2 = 0

Step-by-step explanation:

The computation of the polynomial equation of the lowest degree is shown below

As we know that the complex roots would always arise in the conjucate pairs

As -i is a root, i is also a root

As  -1 + i is a root

And, -1 is also a root

Now the polynomial equation would be

(x + i)(x - i)(x + 1 - i)(x + 1 - i) = 0

(x^2 - i^2)[(x + 1)^2 - i^2] = 0

(x^2 + 1)[(x + 1)^2 + 1] = 0

(x^2 + 1)(x^2 + 2x + 2) = 0

x^4 + 2x^3 + 3x^2 + 2x + 2 = 0

The pH measurements of water specimens from various locations along a given river basin are Normally distributed with mean 8 and standard deviation 0.3. What is, approximately, the probability that the pH measurement of a randomly selected water specimen is a value between 7.5 and 8.2?
A. 0.3003
B. 0.6997
C. 0.9522
D. 0.9902

Answers

Answer:

0.699733

Step-by-step explanation:

Given that :

Mean (m) = 8

Standard deviation (s) = 0.3

Probability that pH is between 7. 5 and 8.2

Probability of pH < 7.5

P(x < 7.5)

The standardized score (Z) :

Z = (x - m) / s

Z = (7.5 - 8) / 0.3 = - 1.6667

p(Z < - 1.6667) = 0.047787 ( Z probability calculator)

Probability of pH < 8.2

P(x < 8.2)

The standardized score (Z) :

Z = (x - m) / s

Z = (8.2 - 8) / 0.3 = 0.6667

p(Z < 0.6667) = 0.74752 ( Z probability calculator)

Hence,

p(Z < 0.6667) - p(Z < - 1.6667)

0.74752 - 0.047787 = 0.699733

What is the result of 6÷3/8?

Answers

Answer:

16

Step-by-step explanation:

you can convert to a decimal

Answer:

6÷3/8

2/8

1/4

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

Does this curve appear to have a positive slope or a negative slope? Why do you suppose that is the case?

Answers

Answer:

It has a negative slope

Step-by-step explanation: It's going down

negative slope, because the quantity (y axis) decreases as the price (x axis) increases, creating a downward slope

Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet
and will drop off of the remaining items to a local donation center. Write a function to
represent the number of items Shelby will donate as a function of x, the number of clothing items
on her bed.

Answers

Answer:

F(x)1/3x-7

Step-by-step explanation:

f(x)=(x-21)x1/

=/x-21

The number of items Shelby will donate as a function of x is f(x)=x-21.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet and will drop off of the remaining items to a local donation center. Therefore, we can write,

Total number of clothes = x

Number of clothes she will keep in her closet = 21

Now, the function can be written as,

Function(x) = Number of items Shelby will donate

f(x) = x - 21

Hence, the number of items Shelby will donate as a function of x is f(x)=x-21.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

what is the value of x??
please help!

Answers

Answer:

x=29

Step-by-step explanation:

the degree of a straight line is 180°

180-149

=31

x+2=31

x+2-2=31-2

x=29

How would you write the number displayed on the calculator screen in standard form

Answers

Answer:

E is short for 10^x. The number that comes after the E is the power of 10.

So its 7.6*10^12

now that scientifically notation

For standard your gonna need to simplify that

so we know 10^12 is 1000000000000

Multiply the 7.6

7600000000000

hope I helped :)

HELP QUICKLY PLEASE Which of these is used to find the estimated age range of a fossil?
Absolute dating
Half-life
Index fossils
Radioactive dating

Answers

Answer:

Step-by-step explanation:

Radioactive dating becouse they look how long the fossils were there

A test has 25 questions.
If peter gets 80% correct, how many questions did peter MISS!
(Whoever answers can you please give me a clear explanation?)

Answers

Answer:

Peter missed five questions.

Step-by-step explanation:

Since the test has twenty-five questions, and Peter got 80% correct...

80/100 = __/25 <--What number is the numerator?

Well, to get from 100 to 25, you have to divide by 4. 100/4 = 25.

Now, what is 80/4? If you do the math, you should get 20.

25 (Total Questions) - 20 (Questions Correctly Answered) = 5 (Questions Incorrectly Answered)

it 30 the answer is 30

Answers

I’m sorry I couldn’t understand what you said. Maybe right a question with more info?
What lol I’m so confused

Help meeee pleaseeeeee

Answers

Answer:

432

Step-by-step explanation:

8x9=72

72x6=432

432 is the answer. The first guy explains why

A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
the diagonal of the rectangle?
a. 48 ft
b. 90 ft
c. 110 ft
d. 2268 ft
e. 8100 ft

Answers

length (l) =54

breath (b) =72

l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)

(54)²+(72)²=diagonal²

2916+5184=diagonal²

8100=diagonal²

90= diagonal.............(taking square root)

length of diagonal is 90ft

i hope it helps

have a nice day and thanks for asking this question

Please help with steps??? Question: Find the solution for a system of equations by elimination
2x- 3y=6
5x +7y = -14

Answers

Answer:

x = -84, y = -58

Step-by-step explanation:

2x - 3y = 6 --- Equation 1

Equation 1×5: 10x - 15y = 30 --- Equation 2

5x + 7y = -14 --- Equation 3

Equation 3×2: 10x + 14y = -28 --- Equation 4

I will eliminate 10x.

Equation 4-2:

10x - 15y - 10x + 14y = 30-(-28)

-y = 30+28

   = 58

y = -58

Substitute y  =-58 into Equation 1.

2x - 3y = 6

2x - 3(-58) = 6

2x - (-174) = 6

2x + 174 = 6

Find 2x.

2x = 6-174

    = -168

Find x.

x = -168 ÷ 2

x = -84

The ration of red marbles to white ones is 13 to 12. If there are 3,081 red marbles how many white ones are there?

Answers

Answer:

2844

Step-by-step explanation:

13 is to 12 as 3081 is to x. 13/12 = 3081/x. 12 * 3081 = 13x.

36972 = 13x. divide both sides by 13, you're left with 2844.

Order these numbers from least to greatest.

-33, 0.5, -5.87,
17/25

Answers

Answer:

-5.87,-33,0.5,17/25

Answer:

-33, -5.87, 0.5, 17/25.

Step-by-step explanation:

Thanks for the points!

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Two angles are supplementary. The measure of the larger angle is 36 degrees less than 8 times
the measure of the smaller angle. Find the measures of both angles.​

Answers

Answer:

The measures of the angles are 16° and 164°.

Step-by-step explanation:

Let the smaller angle be x and the larger angle be 8x+36.

Supplementary angles add up to 180°.

Small angle + Large angle = 180°

x + 8x + 36 = 180

9x + 36 = 180

9x = 180 - 36

    = 144

x = 144 ÷ 9

x = 16

8x+36 = 8(16)+36

           = 164

Write the equation of the line in slope-intercept form that has a slope of 3 and passes through (5, -1)

Answers

Answer:

y = 3x - 16

Step-by-step explanation:

In this question, we have to write an equation in slope-intercept form with the given information.

Slope-intercept form: y = mx + b

We already know our slope: 3

However, we don't know what are y-intercept (b) is.

To find this, plug the given information in the equation and solve for b:

-1 = 3(5) + b

-1 = 15 + b

Subtract 15 from both sides.

-16 = b

This means that our y-intercept will be -16.

Now, plug in our new information to the equation:

y = 3x - 16

The equation y = 3x - 16 will be your answer.

Answer:

y = 3x - 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope: 3

Points: (5, -1)

y = 3x + b

-1 = 3 ( 5 ) + b

-1 = 15 + b

b = -16

y = 3x - 16

Find the nearest number before and after any real number.​

Answers

Answer:

add 1 and subtract 1

Step-by-step explanation:

so if u add and subtract 1. take 5. 5+1 and -1 is 4 and 6

Hope this helps :D

Im getting 37in^2
But is saying incorrect

Answers

Answer:

42 in^2

Step-by-step explanation:

the 2 triangles have a total area of 3*4*(1/2)*2 = 12 in^2

the middle rectangle has an area of 5*2.5 = 12.5 in^2

the left rectangle has an area of 3*2.5 = 7.5 in^2

the right rectangle has an area of 4*2.5 = 10 in^2

adding up all 4 gets 42 in^2

please help!!! due in 40mins i really need the answers

Answers

The steps are :

[tex]x + 2y = 13 - - - (1)[/tex]

[tex] - x + y = 5 - - - (2)[/tex]

[tex](1) + (2)[/tex]

[tex]x + 2y + ( - x) + y = 13 + 5[/tex]

[tex]3y = 18[/tex]

[tex]y = 6[/tex]

[tex]substitute \: y = 6 \: into \: (2)[/tex]

[tex](2)⇒[/tex]

[tex] - x + 6 = 5[/tex]

[tex] - x = - 1[/tex]

[tex]x = 1[/tex]

Therefore, you have to insert the values into the coordinates form so the answer willl be (1 , 6).

Tyreke can complete 5 problems in 8 minutes.
How long will it take him to complete 30
problems?

Answers

Answer:

48 minutes

30/5 = 6

6 x 8 = 48

Answer: 48

Step-by-step explanation:

if Tyreke can solve:

5 problems in 8 minutes

30 problems in ? minutes

(30*8)/5=48

what is the product in simplest terms of the mixed number below 2 1/2 × 3 1/2​

Answers

Answer:

A. 8 3/4

Step-by-step explanation:

2 1/2 x 3 1/2 =

5/2 x 7/2 =

35/4 =

8 3/4

Suppose that y varies directly with x and y = 10 when x = 20. What is y when x = 15?

Answers

Given that,

y varies directly with x and y = 10 when x = 20.

To find,

The value of y when x = 15.

Solution,

[tex]y\propto x\\\\y=kx[/tex]

Put x = 20 and y = 10

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{10}{20}\\\\=\dfrac{1}{2}[/tex]

Put k = 1/2 and x = 15 to find the value of y.

[tex]y=\dfrac{1}{2}\times 15\\\\=7.5[/tex]

So, the value of y is 7.5

Hi, Can anyone help me out here?

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

First, subrat 2 from 10 bc cleo used 2 feet last week:

10-2=8

cleo has 8 feet left of ribbon.

divide 8 by 1/6

8/1/6=47.9

aprox 48

hope its right

In ΔRST, r = 40 cm, s = 88 cm and t=70 cm. Find the measure of ∠S to the nearest degree.

Answers

Answer:

102.835≈103

Step-by-step explanation:

Answer: 103

Step-by-step explanation: Trust

Plz HELP BRAINLIEST IF CORRECT THANKS

Answers

Answer:

5

Step-by-step explanation:

Rise over run... slope formula:

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

x=0, y=0

x=1, y=5

[tex]\frac{5-0}{1-0}=\frac{5}{1} =5[/tex]

Use the extended form find the perimeter of the square shape of 10cm and 18cm

Answers

The perimeter of the square would be 56 cm

(3 x (6 + 4) - 22] x 2 = ?

Answers

Answer:

16

Step-by-step explanation:

[3 x (6 + 4) - 22] x 2

[3 x 10 - 22] x 2

[30 - 22] x 2

8 x 2 = 16

2y-10=6x
plz help me

Answers

Answer: simplifying

Step-by-step explanation:

2y + -10 = 6x

Reorder the terms:

-10 + 2y = 6x

Solving

-10 + 2y = 6x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 2y = 10 + 6x

Combine like terms: -10 + 10 = 0

0 + 2y = 10 + 6x

2y = 10 + 6x

Divide each side by '2'.

y = 5 + 3x

Simplifying

y = 5 + 3x

Step-by-step explanation:

your well come...

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