Let x be a real number such that x + (1/x) is an integer. Prove that (x^n) + 1/(x^n) is an integer for every positive integer n.

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Answer 1

Answer:

sim eu também preciso desta respota


Related Questions

Which expression can be modeled using the number line?

Answers

Answer:

7 x 1/10 = 7/10

Step-by-step explanation:

There are 7 "bumps" on the number line, and each "bump" moves the line 1/10.

This can also be modeled as

1/10 + 1/10 + 1/10 +1/10 +1/10 +1/10 +1/10 = 7/10

Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1​

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Answers:

10 people absent15 people working in the field onlySee the below image for the venn diagram

=======================================================

Explanation:

35 people are working in both places. 50 work in the field or both, so 50-35 = 15 people work solely in the field. 65 work in the office or both, so 65-35 = 30 people work solely in the office

So far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.

The remaining 90-80 = 10 people are absent.

The venn diagram is below.

Debbie did a survey of how many states the members of her class had visited. The results were: 10, 15, 23, 2, 21, 31, 14, 10,
8.17, 11, 19.8.42.15. 22. 6, 34, 19.3, 24,
What is the five-number summary for this set of data?

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Answer:

Step-by-step explanation:

11 22 6 34 19

can you do 3 pages of work for me?

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Answer:

if it is easy i can do it

hope it helps

Answer:

3

Step-by-step explanation:

I will help

..A tin of paint was 2/3 litres full. Tom used 1/2 of
the paint to paint his table. How much was left ?

Answers

Multiply the amount of paint started with by the amount used:

2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3

There is 1/3 liter left

please help ill give brainliest I need this answer​

Answers

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

Answer:

50°

Step-by-step explanation:

These 2 angles are vertically opposite, meaning they equal each other.

This gives the equation 9x-4=7x+8.

Subtracting 7x from both sides gives 2x-4=8.

From there, you want to add 4 to both sides, leaving 2x=12.

In order to isolate the x, divide both sides by 2. This creates a final result of x=6.

We want to find the angle given by 8+7x. Since we know x, we can sub it with its value (6). This makes the equation 8+7×6.

We can then solve this to 8+42, and even further to 50°.

**This content involves transversals and solving algebraic equations, which you may wish to revise. I'm always happy to help!

Helppppp which one is it?

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c because of the step by step explanation an i’m sorry

Show number that 0.245 is Rational number

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Answer:

A rational number is one that may be represented in the manner p/q.

245/1000 = 0.245

Step-by-step explanation:

0.245 is not an integer. It is a rational number.

A workbench for a motorcycle is in the shape of parallelogram IJKL. The motorcycle is
raised and lowered as the angles of the parallelogram change. Which statement is
correct?



ZJ and ZL are supplementary
ZJ and ZK are congruent.
65° K
ZJ and ZK are supplementary
ZI and ZL are congruent.

Answers

Answer:

J and K are supplementary

Step-by-step explanation:

Given

The attached image

Required

The true statement

From the attached image, it is hard to determine the values of angles I and L as there are no enough information to determine their values.

However, J and K can be worked easily.

From the image

[tex]J = 65^o[/tex] --- vertically opposite angles

And:

[tex]K + 65^o = 180^o[/tex] ---- angle on a straight line

Substitute: [tex]J = 65^o[/tex]

[tex]K + J = 180^o[/tex]

When two angles add up to 180, the angles are supplementary.

Hence, (c) is correct

What is the first step in using the square root property?

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Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.

Step-by-step explanation:

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.

ASAP!!! Use the relationships in the diagrams below to calculate the the values of the variables if possible part. B

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Answer:  y = 57°;

               Angle Values: 66° and 114°.

Step-by-step explanation:

The sum of the corresponding angles is 180°.

y + 9 + 2y = 180

3y = 180 - 9

3y = 171

y = 57

Angle Values:

57° + 9° = 66°

57° · 2 = 114°

Cos15°°- Sin 15°= 1/√2​

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Refer this attachment

Hope it's help you

Y=4x pls help pls help

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(1,4),(3,12),(5,20) since (x,y)

Answer:

(1,4) , (3,12) , (5,20)

Step-by-step explanation:

You should put the first number in X and find the second number from equation.

Determine the number of solutions to the given system without graphing. 2x + y = 2 2x +y = 5
one solution
no solution
infinite number of solutions

Answers

Infinite number of solutions I believe.

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The two lines are parallel, so do not intersect. There is no solution.

If the profits in your consulting business increase by 6​% one year and decrease by 3​% the following​ year, your profits are up by 3​% over two years

Answers

Answer:

its 1.388 p

Step-by-step explanation:

i hope this helps

Tính I = tích phân ( x^2 - 3xy) dx + ( x-y) dy với đường cung định hướng AB là ve tẻ nối điểm A ( 2,3 ) và B ( 1 , 1 )

Answers

izvzzhhhbhbugggtguguzvzuvutggutfztfutftzflsosskkxjissosos

In AUVW, W = 840 cm, u = 350 cm and ZV=63º. Find the area of AUVW, to the
nearest square centimeter.

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Answer:

[tex]Area = 130977cm^2[/tex]

Step-by-step explanation:

Given

[tex]W=840[/tex]

[tex]U = 350[/tex]

[tex]\angle V = 63^o[/tex]

Required

The area

The area is calculated as:

[tex]Area = \frac{1}{2}UW\sin(V)[/tex]

So, we have:

[tex]Area = \frac{1}{2}*350*840*\sin(63^o)[/tex]

[tex]Area = \frac{1}{2}*350*840*0.8910[/tex]

[tex]Area = 130977cm^2[/tex]

mnv
[tex]2 \times \frac{7}{?} = 4[/tex]

Answers

Answer:

? = 7/2

Step-by-step explanation:

? = x

a denominator can’t be equal to 0

x ≠ 0

14/x = 4

14 = 4x

x = 7/2

3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?​

Answers

Answer:

t = -1

c = 6

s = 8.2 or 8 1/5 (same thing just different notation)

Step-by-step explanation:

3(t+4) = 9

3t + 12 = 9

3t = -3

t = -1

-(c-6) = 0

-c + 6 = 0

-c = -6

c = 6

-10(s+4) = -122

-10s - 40 = -122

-10s = -82

10s = 82

s = 82/10 = 8.2 or 8 2/10 or 8 1/5

Pa help po plssssss
Sana po meron Ang maka-sagot ☺️☺️​

Answers

Answer:

The answer is below

Step-by-step explanation:

a) the volume of the pit = length * width * depth = 9 dm * 6 dm * 7 dm = 378 dm³

Hence to fil the pit, 378 dm³ of sand is needed.

b) Volume of the room = length * width * height = 2.3 m * 0.59 m * 3.74 m = 5.08 m³

The cabinet would occupy 5.08 m³ of space.

c) volume = length * width * height

210 dm³ = 3.5 dm * 6 dm * width

width = 210 dm³ / (3.5 dm * 6 dm) = 10 dm

d) Volume of the room = length * width * height = 15 m * 15 m * 15 m = 3375 m³

The stockroom has a space of 3375 m³

e) volume = length * width * height = 5 dm * 5 dm * 5 dm = 125 dm³

The container has a space of 125 dm³

f) volume = length * width * height = 41 cm * 13 cm * 24 cm = 12792  cm³

The box has a space of 12792  cm³

g) volume of prism = length * width * height

72 m³ = 4 m * 3 m * length

length = 72 m³ / (4 m * 3 m) = 6 m

h) volume = length * width * height = 8 cm * 8 cm * 8 cm = 512 cm³

The figure has a volume of 512 cm³

i) volume = length * width * height = 5 ft * 2 ft * 3 ft = 30 ft³

The cabinet has a space of 30 ft³

HW HELP ASAP PLZZZZZ

Answers

Answer:

3

Step-by-step explanation:

I think its 3 because when we add 2 to x the graphic must be continue two step to right

cort
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
What is the range?

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Answer:

The mode is 7 and 8

The mean is 5.2

The range is 7

A small town experienced an explosive population increase Originally the town had population 170 within 3 years the town's population increased by 400% what is the town current population

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Answer:

Step-by-step explanation:

We need to first find out how much 400% of 170 is and then add that increase to the original 170 people.

4(170) = 680 and

680 + 170 = 850 people after 3 years.

Should I get my nose pierced??

Answers

Answer:

no...you can just use a clip on

Answer:

it's absolutely worth it. The pain of getting one isn't that bad, at least for me. It's just a quick pinch. It'll look so good. Just make sure you are also cleaning it.

Step-by-step explanation:

Một hộp đựng 10 phong bì bốc thư trúng thưởng trong đó 3 phong bì đựng 500 nghìn 7 phong bì đựng 100 nghìn. Bốc ngẫu nhiên liên tiếp hai phong bì. Nếu biết phong bì thứ hai có 500 nghìn, tìm xác xuất để phong bì đầu tiên cũng có 500 nghìn?

Answers

I can't understand tell me in english

If f(x) = 3x⁴ - 13x, find f(-2)​

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Answer:

answer is

74....................

Simplify (5 square root 2 - 1 ) ^2

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Answer:

576

Step-by-step explanation:

5 square root 2 is 25

25 minus 1 is 24

24 square root 2 is 576

Answer:

25

Step-by-step explanation:

[tex](5\sqrt{(2-1)} ^{2}[/tex]

[tex](5\sqrt{1}) ^{2}[/tex]

You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.

What is your new balance?

Answers

Answer:

Correct me if I'm wrong but I'm sure it's -12

Step-by-step explanation:

34+30= 64

64-76= -12

100 Brainly points!!!!

In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.

Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•

& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).

Answers

Answer:

Point A’ is at (-2,-2)

& point D' is at (4,-2)

Step-by-step explanation:

Point A’ => (-1×2, -1×2) => (-2 , -2)

Point D' => (2×2 , -1×2) => (4 , -2)

A is at (-1,-1)

So A' is at

2(-1,-1)(-2,-2)

D is at

(2,-1)

D' is at.

2(2,-1)(4,-2)

Find the equation of the line with Slope = 3 and passing through (4, 10) .write your equation in the form y=mx+b

Answers

The slope is given so you straight away apply it to the equation,

Y=mx+b

Y=3x+b

Now replace the points x and y to find b (y-intercept)

10=3(4)+b

10-12=b

b= -2

Final answer:

Y=3x-2

Hope that answers your question and best of wishes!!
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