Martin Lukarevski, a super-hard problem published by Cambridge:

Let m be an arbitrary integer and let k=3m+1. Find all integer solutions x and y of the equation
(x + y − k)(x + y + k)=1+xy.

Answers

Answer 1

Answer:

Yagub Muallim is watching, grave is loading .

Step-by-step explanation:


Related Questions

Solve for y in terms of x: 3x = 15-5y


Helppp

Answers

5y=15-3x
y=3-3/5x
hope it helps:):)

Answer:

Step-by-step explanation:

3x =15-5y

Add 5y and subtract 3x on both sides

5y=15-3x

y=(15-3x)/5

The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval

Answers

Answer: average y = -8 average y =2

ARC : -4

Step-by-step explanation:

Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

Given

The graph of [tex]y = f(x)[/tex]

See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]

The line segment is represented by a green line

To determine the average rate of change using the line segment; we have the following values.

When [tex]x =5; y = 8[/tex]

When [tex]x =7; y = 0[/tex]

So, the average rate of change (m) is:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

Where:

[tex]\Delta y = y_2 - y_1[/tex]

[tex]\Delta y = 0-8[/tex]

[tex]\Delta y = -8[/tex]

[tex]\Delta x = x_2 - x_1[/tex]

[tex]\Delta x = 7 - 5[/tex]

[tex]\Delta x = 2[/tex]

So, we have:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

[tex]m = \frac{-8}{2}[/tex]

[tex]m = -4[/tex]

Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

Read more about average rate of change at:

https://brainly.com/question/2530409

The value of a stock increases 1423 points twice in one week. The other three days the value decreases by 10 points, 813 points, and 1223 points. By how many points did the value of the stock change that week? A. 2/3 points B. 1/3 points C. −1 1/3 points D. −1 2/3 points

Answers

Answer:

Step-by-step explanation:

Remark

Usually the statements are written from your broker's and his accountant's  point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.

Debit                  Credit                Balance

0                                                            0

1423                                                1423

1423                                                2846                                

                              10                     2836

                            813                     2023

                          1223                       800

None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.

Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.

Answers

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mixed number in its simplest form.

Answers

Answer:

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7------------(1)

a-b=2------------(2)

From eqn(2) make a subject of formula

a=2+b--------(3)

Substitute the (3) into eqn(1)

a+b=7------------(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b--------(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

Answer:

11 1/4

Step-by-step explanation:

a+b=7

a-b=2

adding equations gives us 2a=9  so a= 9/2

b= 7- 9/2= 14-9/2=5/2

therefore a x b= 9/2 x 5/2 =45/4

45/4 in a mixed number is 11 1/4

It cost $510 to get your car fixed. If it was $375 for parts, how much did the mechanic charge for the work to fix your car?

Answers

Isn’t it just 510 minus 375? Which is 135?? Maybe I’m wrong but I think it’s 135

(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have? ( can you show work please)

Answers

she will have 9 pieces i’m sorry but i don’t have the work

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at 3:00 pm and time will it be when despacito at the same time

Answers

Answer:

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?

Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.

Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

Therefore, the first common multiple is found which is the lowest common multiple is 35

LCM(5, 7) = 35

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Answer:

of course they play despacito that much lol

Step-by-step explanation:

The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain

Answers

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered

What is the solution to the equation above

Answers

Answer:

A = 3/4

Step-by-step explanation:

alternately could equal 0.75

Question 13 (1 point)
03.OSLO
What is the volume of a sphere with a radius of 6 inches?
1120 cubic inches
2880 cubic inches
2900 cubic inches
3000 cubic inches

Answers

Answer:

V=904.78 in^3

Step-by-step explanation:

V=4/3pir^3=4/3.pi.6^3=904.77868in^3

Write in point-slope form an equation for the line through
the point (2, -3) that has the slope of -2. Use point-slope
form

Answers

Answer:

y=-2x+1

Step-by-step explanation:

y-y=m(x-x1)

y-(-3)=-2(x-2)

y+3=-2x+4

-3 -3

y=-2x+1

The Carey family took a trip in November. Mary is calculating the gas mileage in miles per gallon for her dad's truck. When he fills the tank, her dad records the miles on the truck as 15,345. Her dad pays $53.28 to fill up the empty gas tank of the truck. What is the size of the truck's tank in gallons if it cost $3.33 per gallon? Round your answer to the nearest whole number. Be sure to include the correct units in your final answer. *

Answers

Answer:

The size of the tank is 16 gallons

Step-by-step explanation:

Here, we want to calculate the size of the gas tank of the truck

we simply divide the total amount spent by the price per gallon

Mathematically, that will be;

53.28/3.33 = 16 gallons

What is the slope of the line that passes through points (-10, -3) and (5, 3)?​

Answers

Answer:

m = 6/15

Step-by-step explanation:

Answer:

(-0.4,1)

Have a beautiful day, and stay safe.

Kiera is contacting the poll workers from the last election to see whether they are willing to work in the next election. During the last election, 42\%42%42, percent of the poll workers were under 606060 years old. Let WWW be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older. Assume that each poll worker's age is independent. Find the mean and standard deviation of WWW. Round your answers to one decimal place.

Answers

Answer:

Mean: 1.7 and standard deviation 1.1.

Step-by-step explanation:

42% Of the poll workers are less than 60 years old. In other words, 58% of the poll workers are 60 years old: 1-0.42 = 0.58. So W is a geometric variable where the first "success" is poll worker who is at least 60years old.

Mean: 1/0.58 = 1.7241 poll workers, about 1.7 poll workers.

Standard deviation: sqr(1-p)/p = sqr(1-0.58)/0.58 = 1.1174 poll workers, about 1.1 poll workers.

The required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Given that,
During the last election, 42%, percent of the poll workers were under 60 years old. Let W be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

here,
42% of poll workers are under the age of 60. Also, 58% of poll workers are above the age of 60.
= 1 - 0.42 = 0.58.


So "W" is a geometric variable with the first success being a poll worker beyond the age of 60.

Mean =  1/0.58
         = 1.7 poll workers.

Standard deviation = √[(1-0.58)/0.58]
                             = 1.1 poll workers.

Thus, the required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Learn more about mean here:

https://brainly.com/question/15397049

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Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = −1/2x − 3; (14, 0)

The equation is y = ?

Answers

Answer:

[tex]y=2x-28[/tex]

Step-by-step explanation:

Slope intercept form:

[tex]y=mx+b[/tex]

where:

m is the slope (change in the y values over the change in the x values)b is the y-intercept (where x is 0)x and y are corresponding coordinate points (x,y)

When two lines are perpendicular, their slopes will be opposite reciprocals.

examples:

[tex]\frac{1}{3}[/tex] → flip the fraction and change the sign → [tex]-3[/tex]

-5 or [tex]-\frac{5}{1}[/tex]→ flip the fraction and change the sign → [tex]\frac{1}{5}[/tex]

[tex]\frac{5}{7}[/tex] →flip the fraction and change the sign →[tex]-\frac{7}{5}[/tex]

So find the opposite reciprocal of the given slope:

[tex]y=(slope)x+(y-intercept)\\\\y=-\frac{1}{2} x-3\\\\slope=-\frac{1}{2}[/tex]

Flip the fraction and change the sign:

[tex]-\frac{1}{2}[/tex] → [tex]\frac{2}{1}[/tex] or [tex]2[/tex]

Now insert the new slope and the given points into point-slope form:

[tex]y-y_{1}=m(x-x_{1})\\\\(14_{x_{1}},0_{y_{1}})\\\\y-0=2(x-14)[/tex]

Solve the equation for y. Use the distributive property:

[tex]y-0=2(x)+2(-14)\\\\y-0=2x-28[/tex]

Simplify:

[tex]y=2x-28[/tex]

:Done

50 = 2x + 12
Solve step by step.

Answers

Answer:

x=19

Step-by-step explanation:

subtract 12 from each side: 50-12=2x+12-12

38=2x

divide by 2

38/2=2x/2

19=x

Answer:

x=19

Step-by-step explanation:

50=2x+12

50-12=2x+12-12

38=2x

38/2=2x/2

x=19

The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 2 ft shorter than twice the Maple Street side. The Maple Street side is 12 ft shorter than half the Main Street side. The Main Street side is 210 ft.

Answers

Answer:

Step-by-step explanation:

1. 93

2.184

Hurry, I need help and please explain

Answers

Answer:

Question 18

=$3.33

Step-by-step explanation:

i)

26/100 x 4.5

=1.17

(the discount price)

ii)

$4.5-$1.17

=$3.33

Answer:

QUESTION 18

The original price is $4.50

The discount is 26%

They are asking for the sale price which the price after the discount.

So,

The original price means 100% of the cost, like there is no discount at all.

But then we have to apply a 26% discount which means to subtract 26% (the discount) from 100% (the original price)

The new price of the item has to be 74% of the original price.

74% of $4.50   is the same as saying 26% discount.

But what is the number?

To calculate 74% of $4.50, turn 74% into a decimal which is 0.74, then multiply it by 4.50.

0.74 x 4.50   = 3.33

In conclusion, after a 26% discount on an item that is originally $4.50, the new price (sale price) of the item is now $3.33

You got an A on 6 of your last 8 quizzes in Algebra 2. What is the experimental probability that you will get an A on your next quiz? (Simplify the fraction).

Answers

Its 6/8= 2/3 maybe
Not so sure

somebody please help

Answers

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

plz help


Simplify:
- 1.2+15.45

Answers

Answer:

- 1.2+15.45=14.43

Step-by-step explanation:

Jamal's lawn is shaped like a square with an area of 224.9 ft? Which measurement is closest to the side length of his
lawn in feet?

A.15 ft
B.56 ft
C.28 ft
D.11 ft

Answers

Answer:

A. 15 ft

Step-by-step explanation:

I took the test.

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

What is square?

A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .

Given that area of square shaped lawn is224.9 square feet.

We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .

We can calculate length side of lawn as

Area = [tex]a^2[/tex]

224.9 = [tex]a^2[/tex]

[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]

We know that length of side of square can't be negative so

[tex]a=14.9966\\\\a\approx 15 ft[/tex]

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

To know more about square visit :https://brainly.com/question/25092270

Write in simplest form: what is 2^-3 in simplest form

Answers

Answer: 1/8

[tex]2^{-3}=\frac{1}{2^{3} }=\frac{1}{8}[/tex]

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Solve 14+3n=5n−6 . Check your solution.



n= __

Answers

Answer:

N = 10

Step-by-step explanation:

Subtract 3n from both sides

14 = 2n - 6

add 6 to both sides

20 = 2n

divide by 2

n = 10

Answer:

n = 10

I hope this helps!

the distance traveled by an object divided by the time in which the distance was traveled is called the__of an object

Answers

Answer:

speed (v)

Step-by-step explanation:

v = d/t

v = speed

d = distance travelled

t = time taken

I bet I will mark you as a brainiest if u get this right

To make porridge, Goldilocks mixes together 3 bags of oats with 1 bag containing 20% wheat bran and 80% oats. All the bags have the same volume. What percentage of the volume of Goldilocks' porridge mixture is wheat bran?

5%
6%
20%
26%
60%
15%
8%

Answers

Answer:

6%

Step-by-step explanation:

This is an honest guess just because you are not given the content of 2 out of the 3 bags. When starting at 100 percent of the makeup of the porridge you can then divide that by 3 to get the content of 1 bag. You will get around 33 then you find what 20% of 33 is which is closest to either 6 percent.

distribute 3(7x - 8)

Answers

Answer: 21x - 24

Step-by-step explanation:

(3 * 7) x - 3 (8) = 21x - 24

1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )

Answers

Answer:

1) -9.3465 × 10^8

2) 1.6214 × 10^-1

3) 1.33 × 10^-11

Explanation:

When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.

First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.

For example, to solve the first expression (problem one):

7.35 x 10^6 – 9.42 x 10^8

Divide 10^8 by 10^6 to get 10^2

So

it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.

7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.

Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.

Anyway for the second expression (problem 2)

Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.

So 3.14 × 10^-3 + 1.59 × 10^-1

The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2

So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.

If a watch costs $40 and you must pay 6.5% sales tax, how much will the tax be?

Answers

Answer:

$42.60

Step-by-step explanation:

change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60

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