HELP! WILL MARK BRAINLIEST!! Suppose for two real numbers x and y, both the sum x+y and product xy are integers. Either prove x and y must be rational numbers, or find a counterexample.

Answers

Answer 1

Step-by-step explanation:

A man by the name of Luigi Fonti wrote this. I hope it can guide you, as it did for me! "The set of rational numbers is closed for all the four operations, so x+y, x-y, x*y and x/y are rational too. And it is easy to demonstrate. A rational number can be expressed as a fraction of two integers. So, x can be expressed as a/b and y as c/d. Hence x+y = a/b + c/d = (ad+bc)/bd, which, as fraction of two integers, is rational."


Related Questions

Which pair of triangles can be proved congruent by SSS?

Answers

Answer:

I think the answer is B.

Step-by-step explanation:

Answer:

I believe it is C

Step-by-step explanation:

thanks for ansering anyone

Answers

Answer:

The point on the bottom right quadrant which is the lowest. (Look at photo.)

Step-by-step explanation:

The first coordinate always coresponds to the x coordinate and the second to the y coordinate. So here the x coordinate is 1.5 and the y coordinate is -5. All you need to do is find both of these values on the axis and find where they intercept.

I circled the correct location in the attachment.

Write 2.03x10 to the power of 6
Without using scientific notation

Answers

Step-by-step explanation:

2.03×10 is the scientific notation of this number.

what 24 times 52 and 45 times 34

Answers

Answer:

2778

Step-by-step explanation:

The answer is 1,909,440

Please mark as brainliest

simplify the expression

22-50+2

Answers

the answer is.....

-26

What is the minimum value of the graph of y = cos(x)?


–2Pi

–Pi

–1

0

nvm its -1

Answers

Answer:

C

Step-by-step explanation:

just took the quiz :)

C. –1, is the minimum value of the graph of y = cos(x).

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, given that,

We have to find the minimum value of the graph of y = cos(x).

Now,

We know that the value of cosine function lies between -1 and 1.

Hence, C. –1, is the minimum value of the graph of y = cos(x).

To learn more trigonometry click:

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Velocity of a plane is 500 miles per hour west. What’s the speed of the plane?

Answers

The speed of the plane is 500 miles per hour

Answer:

500 miles per hour

Step-by-step explanation:

Velocity is just speed with direction get rid of the direction and you have the speed.

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE SOMEONE HELP ME! I HAVE NO IDEA HOW TO SOLVE THIS- PLEASE GIVE SOUND EXPLANATION SO I CAN DO THE NEXT QUESTION MYSELF!!!!

Answers

Answer: Axis of Symmetry at x=1

Step-by-step explanation:

Internet Definition: The axis of symmetry is the vertical line that goes through the vertex of a parabola so the left and right sides of the parabola are symmetric. To simplify, this line splits the graph of a quadratic equation into two mirror images.

So pretty much you see the "hill shape" on the graph... the highest part of the hill is the axis of symmetry so the axis of symmetry is at x=1  

Hope this helps! :)

Multiply 400 and 45.2 together.
Round to the nearest hundredth when necessary.
Answer:

Answers

Answer:

445.2 i think

Step-by-step explanation:

Plot startroot 0.9 endroot on the number line. which inequalities are true? check all that apply. 0 < startroot 0.9 endroot startroot 0.9 endroot < 0.9 startroot 0.9 endroot < 1 startroot 0.9 endroot > startroot 1 endroot 0.9 > startroot 0.9 endroot< 1

Answers

The inequality which are true when the number line for √0.9 is plotted are equal to the option A and C.

[tex]0 < \sqrt{0.9}[/tex]

[tex]\sqrt{0.9} < \sqrt{1}[/tex]

What is the number line?

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

Plot startroot 0.9 endroot on the number line. The number line for the √0.9 is plotted and attached in the below image.

The value of √0.9 is greater than the zero as shown. Hence the correct inequality is,

[tex]0 < \sqrt{0.9}[/tex]

On the number line, the √0.9 is less than the number √1. Thus,

[tex]\sqrt{0.9} < \sqrt{1}[/tex]

Hence, the inequality which are true when the number line for √0.9 is plotted are,

[tex]0 < \sqrt{0.9}[/tex]

[tex]\sqrt{0.9} < \sqrt{1}[/tex]

Learn more about the number line here;

https://brainly.com/question/24644930

Answer: A and C :)

Step-by-step explanation: Got it right on edge! Love y'all and good luck!

Help please..The top said what is the missing vowel of the data table.

Answers

Answer:

15

Step-by-step explanation:

y=3x

5(x)x3=15

Answer:

The answer is 15

Step-by-step explanation:

Its a pretty easy pattern just multiply the x value by 3, so 5x3=15

Brainliest Given/Thanks/5 Star for the following;
→ No Copy
→ Explanation
a sample representative of the entire population is an
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample

Answers

Answer:

[C] convenience sample

Step-by-step explanation:

convenience sample is a sample of a entire population. It is the most commonly used sampling technique as it's incredibly prompt, uncomplicated, and economical. Convenience sampling speeds up the research process, helping you to save time and cost.

Thus, the answer is [C] Convenience Sample

~Lenvy~

Answer:

convenience sample

Step-by-step explanation:

x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052x = 1052

Question 3 of 15
Victor has a garden box that is 3 feet long, 4 feet wide, and į foot deep.
How many cubic feet of dirt does he need to fill the garden box completely?
A. 8
o
B. 14
C. 5
O D. 7
SUBNI

Answers

Answer:

The correct answer is D. 7

Colin rolls a fair dice 66 times.
How many times would Colin expect to roll a five?

Answers

Answer:

11

Step-by-step explanation:

Because 66 ÷ 6 ( Max amount of dots on one side ) = 11

what is 2/5 of a 100 explain your answer and working out

Answers

Answer:

40

Step-by-step explanation:

divide 100 by 5 which equals 20 times that by 2

Answer:

40

Step-by-step explanation:

First we divide 100 by 5

100/5 = 20

Since there are 2/5, we multiply 20 by 2 to get our answer

20 x 2 = 40

Your answer is 40 :)

Have a great day!!

Please rate and mark brainliest!!

while attencing a school carnival you estimate the ratio between children and adults is 2:1 there are 285 adults how many children are there please help ismy birthday coming up i might get in trouble

Answers

Answer:

570

Step-by-step explanation:

If the ratio is 2:1, or children:adults, then that means there are twice as many children as there are adults. This means you multiply the number of adults by two, which wiuld give you 570.

285 × 2= 570

Solve using elimination. x − 8y = 19 9x + 8y = 11 (, )

Answers

Answer:

[tex](3;-2)[/tex]

Step-by-step explanation:

Let's add together the two equations

[tex]I + II : x-8y +9x +8y = 19+11 \rightarrow 10x=30 \rightarrow x =3[/tex]

At this point I would recommend simply using the value of x in the firs equation to find y. [tex]3-8y=19 \rightarrow -8y=16 \rightarrow y=-2[/tex]

Or just multiply the first by 9 and subtract the second.

[tex]9\times I-II: 9x-72y-9x-8y=171-11 \rightarrow -80y=160 y=-2[/tex]

If you invest $5,000 at 1.8 percent for 5 years, compounded semi-annually, what is the amount in the account at the end of 5 years?


$5,450


$5,469


$5,470


$5,560

Answers

Answer: B: $5,469

Step-by-step explanation:

Here is the formula for compound interest:

CI = P(1 + r/n)^rt, where n is the number of times the interest is compounded in a year. In our case, since there is semi annual compounding, n = 2.

The rest of the formula can be filled out:

CI = 5000(1 + 0.018/2)^(5x2)

CI = 5000(1.009)^10

CI = 5000(

.: CI ≅ $5468.67

Thus the answer is B.

Javier sold 457 tickets for the school play. Student tickets cost $2 and adult tickets cost $3. Javier's sales totaled $1161. How many adult tickets and how many student tickets did Javier sell? O 215 adult, 242 student 0 242 adult, 215 student O 247 adult, 210 student О 210 adult, 247 student​

Answers

Answer:

C

Step-by-step explanation:

trust me

PLS H ELP ME ANSWER THIS IN THE NEXT 5 MINUTES

Answers

Answer:

Step-by-step explanation:

2 hours/x speed

2.25 hours/x+5 speed

.25 hours/5 speed

20 mph

20 miles/1 hour

40 miles/2 hours

Answer:

I think it is 9

Please help! First to answer with full explanation gets Brainliest! ​

Answers

Answer:

option 1 is true. y^5/8

Find the 62nd term of the arithmetic sequence -27, -21, -15, ...−27,−21,−15,

Answers

Answer:

339

Step-by-step explanation:

HELPP with this math question

Answers

Answer:

Uhhhh i think its B?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

angles 3 and 7 are corresponding angles, so they are equivalent!!

if you need me to explain the types of angles in a situation like this I gladly will! i hope this helped you!! <3


PLEASE CAN ANYONE SOLD THESE TWO IM REALLY CONFUSED AND NEED HELP
The picture on the top is how the question looks like if your confused what I mean buy 77 ten and 21690 seven

1. What base ten number does 21603 seven
represent?

2. Express the number 77 ten in base number

Answers

The 21603 base seven and 77 base ten are number bases

21603 base seven represents 5442 in base ten77 base ten represents 130 in base seven

How to rewrite the numbers

1. What base ten number does 21603 seven represent?

This is represented as:

[tex]21603_7[/tex]

To convert to base 10, we have:

[tex]21603_7 = 2 * 7^4 + 1 * 7^3 + 6 * 7^2 + 0 * 7^1 + 3 * 7^0[/tex]

Evaluate the sum and the exponents

[tex]21603_7 = 5442[/tex]

Hence, 21603 base seven represents 5442 in base ten

2. Express the number 77 ten in base number

This is represented as:

[tex]77_{10}[/tex]

To convert to a base number (say base 7), we have:

77/ 7 = 10 R 0

10/7 = 1 R 3

1/7 = 0 R 1

Hence, 77 base ten represents 130 in base seven

Read more about number bases at:

https://brainly.com/question/17546250

Marilyn grade on her math test teacher was 24/60. What was her percentage?

Answers

Answer:

40%

Step-by-step explanation:

soln24/60 ×100%24/3×58×540% answer

Can someone help me on 2 and 3

Answers

Answer:

2: Rate of change is the comparision between the x and y values. 3: For one pound of fish, it costs $15

Step-by-step explanation:

2: For example, if you have 4y and 1x, the rate of change is 4 because rise/run, 4/1= 4

3: The cost would be y while pounds of fish would be x. so $15/1 pound = 15

Hope this helps

Answer:

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. ... Subtract one and multiply the resulting number by 100 to give it a percentage representation.

Step-by-step explanation:

2. Say you have like 5y and 1x, the rate of change is 5 because rise/run, 5/1= 5

For which of the following inequalities is
x= 9 a solution?
A. 8x> 72
B. x + 52 > 64
C. 6x254
D. 9x < 81

Answers

D should be the answer

How many ml of a 50% sugar solution must be mixed with 10 ml of a 68% sugar solution to make a 62% solution?

Answers

Answer:

well first we need to see the total percent of sugar solution there is.

So first we need to add 50%+68%=118%/200%

so now 62%/100% needs translated to /200%.

We get 124%/200% Now 50%/100%=100%/200% 68%/100%=136%/200%

62% would be in a total of needed of like 7 ml of the 50% sugar solution i think let me know if i am wrong

Step-by-step explanation:

EXPAND it please and explain
(9r-s/7)(9r+s/7)

Answers

Answer:

2. 2

81r - s/49

Step-by-step explanation: I don’t know how to explain it but yeah

( I’m probably wrong so if I am I’m sorry)

How many cups are equal to 23 pints? Enter your answer in the box

Answers

Answer:

5 and 3 pints

Step-by-step explanation:

there are 4 pints in 1 cup.

23 pints is equal to 46 cups using the conversion factor 2 cups = 1 pint.

As, 2 cups = 1 pint.

Using the conversion factor 2 cups = 1 pint, convert 23 pints to cups.

So, to convert pints to cups, multiply the number of pints by 2 as

= 23 pints x 2 cups/pint

= 46 cups

Therefore, 23 pints is equal to 46 cups.

Learn more about Unit Conversion here:

https://brainly.com/question/28600662

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