Mathematics High School

For any two real numbers, a and b one and only one of these relations is true:
1. a = b
2. a < b
3. a > b

Answers

Answer 1

Answer:

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

Answer 2

For any two real numbers, a and b ,only one property will hold for given two numbers.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

For any two real numbers, a and b

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

To learn more on number click:

brainly.com/question/17429689

#SPJ2

Related Questions

PLEASE ANSWER I NEED HELP LOTS OF POINTS

Answers

Easy easy easy easy easy easy easy easy ways

Answer:

blank 1 = 4

blank 2 = -5

blank 3 = -1

Step-by-step explanation:

Find the quotient. 28,134 ÷ 47

Answers

Answer:

28,134 / 47 = 598.6

Step-by-step explanation:

For the division of 28,134 ÷ 47, the quotient is determined as 598.596.

What is the quotient of a number?

Quotient refers to the result obtained when one number (dividend) is divided by another number (divisor).

When you perform division, the quotient is the answer or the result of the division operation.

For the division of 28,134 ÷ 47, the quotient is calculated as;

28,134 ÷ 47

= 28,134 / 47

= 598.596

Therefore, for the division of 28,134 ÷ 47, the quotient is determined as 598.596.

Learn more about quotients here: https://brainly.com/question/33838790

#SPJ3

The fuel tank of a certain airplane can hold up to gallons of fuel. Let be the total weight of the airplane (in pounds). Let be the total amount of fuel in its tank (in gallons). Suppose that gives as a function of .

Answers

A reasonable function is W = 7F + 5000

Where W is the weight of the plane and F is the number of gallons of fuel.

The domain is the set of possible values for F. That is from 0 (empty tank) to 400 (full tank).

So the domain is F = [0,400], or what is equivalente 0 ≤ F ≤ 400.

The range is the set of values of W.

The minimum value of W is when F = 0 => W = 7(0) + 5000 = 5,000.

The maximum value of W is when F = 400 => W = 7(400) + 5000 = 7,800

So the range is W = [5,000 ; 7,800], pr 5000 ≤ W ≤ 7,800.

. Twelve out of 36 students in a class are in the
drama club. What is the ratio of the students in the
drama club to the students who are not in the
drama club?

Answers

36-12=24

The answer is:

12;24 or 1;2 (simplified)

fast films video allows you to rent up to 6 movies a month for a flat rate of $17.75. videos by mall allows you to rent up to 8 movies for $25.00. which company offers the better value

Answers

Answer:

The second company offers better value

Step-by-step explanation:

$17,75 / 6 = ~$2,96

$25 / 8 = ~$3,13

A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

4x + 5y = 30.50

11x + 14y = 84.50

The variable x represents the
.

The variable y represents the
.

The deli charges $

Answers

Answer:

The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

Step-by-step explanation:

Let the cost of 1 pound of meat be x

Let the cost of 1 pound of cheese be y

Cost of 4 pounds of meat = 4x

Cost of 5 pounds of cheese = 5y

Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.

So, equation becomes :

Cost of 11 pounds of meat = 11x

Cost of 14 pounds of cheese = 14y

Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.

So, equation becomes :

Thus the system of equations are :

-1 (Red line)

-2 (Black line)

Solving these equations graphically we get the solution

x = $4.5

y = $2.5

Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

Hello, please help me with this as well, but show me example how you worked it out?

33 + - 5

Answers

Answer: 28

Step-by-step explanation: A positive (+) and a negative (-) together make it a negative (-) which takes the positive away (+) making it 33 - 5 = 28

Answer:

Step-by-step explanation:

Subtract 33 - 5. You should get 28. But since the greater number is positive, the answer will be positive.

Maha keeps chickens. She estimates that the weight of one chicken egg is 75 g. Is this a reasonable estimate? Give a reason for your answer.

Answers

yes, it’s around 50-70g

Step-by-step explanation:

Yes this is not reasonable estimate because we count dozens of eggs not its mass

Please help meeeee how do you reflect this?????

Answers

Answer:4 units down and 2 units right if I’m wrong I’m sry

Step-by-step explanation:

Answer:

Please I can't see the question well

The people on this app are mean for not answering

Answers

aggreed very mean.....

☞KEEP SCROLLING☜

°★ . 　　　　.　 °☆ 　. ● ¸ .　　　★　° .　 • ○ ° ★　 .　　　　　　　*　.　 ☾ ° 　¸. * ● ¸ 　　　　° ☾ °☆ 　. * ¸.　　　★　 ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　° :.　 . • ○ ° ★　 .　 *　.　　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　　　° ☾ ° 　¸. ● ¸ .　　★　° :.　 . • ° 　 . ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　° :.　 . • ○ ° ★　 .　 *　.　　　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　　　° ☾ ° 　¸. ● ¸ .　　★　° :.　 . • ° 　 .　 *　:.　.　¸ . ● ¸ 　　　★　　★☾ °★ . 　　　　.　 °☆ 　. ● ¸ .　　　★　° .　 • ○ ° ★　 .　　　　　　　*　.　 ☾ ° 　¸. * ● ¸ 　　　　° ☾ °☆ 　. * ¸.　　　★　 ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　° :.　 . • ○ ° ★　 .　 *　.　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　　　° ☾ ° 　¸. ● ¸ .　　★　° :.　 . • ° 　 . ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　　 . • ○ ° ★　 .　 *　.　　　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　　　° ☾ ° 　¸. ● ¸ .　　★　° :.　 . • ° 　 .　 *　:.　.　¸ . ● ¸ 　　　★　　★☾ °★ . 　　　　.　 °☆ 　. ● ¸ .　　　★　° .　 • ○ ° ★　 .　　　　　　　*　.　 ☾ ° 　¸. * ● ¸ 　　　　° ☾ °☆ 　. * ¸.　　　★　 ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　° :.　 . • ○ ° ★　 .　 *　.　　　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　° ☾ ° 　¸. ● ¸ .　

→_→BRAINLIEST ME←_←

｡.ﾟ+✨NIGHT SKY WITH STARS✨｡.ﾟ+

Solve y for 4(3y - 1) - 5y - 6 = 18

Answers

Answer:

y=4

Step-by-step explanation:

Find g(f(x)).

f(x) = x + 1
g(x) = [tex]\sqrt{x} -3[/tex]

Please show work so I can understand it because my teacher has been out all week and I need to know how to do this for a test tomorrow.

Answers

Step-by-step explanation:

82o2992838r7eidie3

kkqkoqlqw..w.wlw

Can someone help me and if you don’t have the answer don’t answer cause you’re just wasting my time

Answers

Answer: 1 is 534

Step-by-step explanation:

a line has a slope of 6 and an x-intercept of 7
write the equation for the line slope-intercept form

Answers

Answer:

y = 6x - 42

Step-by-step explanation:

Point (7,0)

y-intercept = 0 - (6)(7) = -42

Anyone knows the answer?????????????

Answers

Answer:

No I don't know if they also know then they will tell don't know that then how to tell

Answer:

noooooooooooiiiiiiooooooooooooooooo

There are 26 empty parking spots and
24 full parking spots in the parking
garage. What is the ratio of the number
of empty parking spots to the number
of full parking spots?

I suck at ratios help me

Answers

Answer:

26:24 or 24:26 that is the ratio

Will give brainliest for best answer

Answers

Answer:

The answer is A

Step-by-step explanation:

X represents the numbers of cones which is 50

I need help with number 5 please!
As shown on the diagram below ABC ~ DEF, AB=7x, BC=4, DE=7 and EF=x what is the length of AB?

Answers

Answer: AB is 14 units long.

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

Explanation:

We're told that [tex]\triangle ABC \sim \triangle DE F[/tex] which means triangle ABC is similar to triangle DEF. The order of the letters is important as you'll see in the next two paragraphs.

AB and DE are the first two letters of ABC and DEF respectively. These two sides pair up as one corresponding pair. This forms the fraction AB/DE.

Through similar logic, we get the fraction BC/EF. We have BC and EF as the last two letters of ABC and DEF respectively. This fraction is equal to the previous fraction we set up (due to similar triangles having equal proportions).

Once again, the order of the letters matters to tell us how the sides and angles pair up together.

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

In short, the key takeaway from that last section is that we can form this equation:

AB/DE = BC/EF

From here, we apply substitution and solve for x

So,

AB/DE = BC/EF

7x/7 = 4/x

7x*x = 7*4 .... cross multiplication

7x^2 = 28

x^2 = 28/7

x^2 = 4

x = sqrt(4)

x = 2

We only consider the positive square root because x is some side length. Negative x values are not allowed.

To wrap things up, use that x value to find AB

AB = 7x = 7*2 = 14

what is x?
-6x+6=-12
(if you can show your work please do :)

Answers

Answer:

x = 3

Step-by-step explanation:

-6x + 6 = -12

Subtract 6 on both sides

-6x + 6 -6 = -12 -6

-6x = -12 - 6

Simplify

-6x = -18

Divide by -6 on both sides

-6x/-6 = -18/-6

Simplify

x = 3

domain of (3,4) (-1,5) (-9,0) (3, -2) and range. And is it a function?

Answers

Answer:

Domain = 3,-1,-9,3

Range = 3,5,0,-2

Not a function

what is 17 = x - 15 with written work please

Answers

Answer:

Step-by-step explanation:

15+17=32

x=32

hope this helps

Step-by-step explanation:

17 = x - 15

or, 17 + 15 = x

or, 32 = x

Therefore, x = 32 Ans

Which inequality has a solution that is the set of all real numbers?
12 < 14
x < 12
12 > 14
x > 14

Answers

Answer:

12<14

x<12

14>12

14>x

Step-by-step explanation:

I dont know if it is correct but I think it is that way try

What is the slope of the line that passes through the points (-10, 9)(−10,9) and (-12, 7) ?(−12,7)? Write your answer in simplest form

Answers

Answer:

I Had A Problem In This Too Lol Here Was Correct For Me

Step-by-step explanation:

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}x_{1} }[/tex]

with (x₁, y₁ ) = (- 10, 9 ) and (x₂, y₂ ) = (-12, 7 )

m = [tex]\frac{7-9}{-12-(-10)}[/tex] = [tex]\frac{-2}{-12+10}[/tex] = [tex]\frac{-2}{-2}[/tex] = 1

is the answer(s) E, D, C, B, or A?

Answers

Answer:

A,C,E

You can see that the temperature and heat energy is changing at those points than just sitting there like B and D

Joe is signing a lease for an apartment that rents for $1800/month. How much will he pay to move in if he must pay the first and last months' rent and a $1000 security deposit?

A. $5000
B. $4600
C. $4500
D. $2800

Answers

B. $4,600. If he has to pay the first and last months rent you add the $1800 for 2 months getting you $3,600 and then add in $1,000 for security deposit so it creates a total of $4,600

Dad's age is equal to the sum of Laura's, Jeri's and Theresa's ages. If Jeri is 4 years older
than Theresa and 3 years younger than Laura, and Dad's age is 38, how old is each
daughter?

Answers

Answer:

Jeri is 13, and thus Theresa is 9 and Laura is 16.

Step-by-step explanation:

Let's start by declaring variables

D - dad's age

L - laura's age

J - jeri's age

T - theresa's age

The first statement tells us that D = L + J + T

Jeri being 4 years older than Theresa gives us

J = T + 4

Jeri being 3 years younger than Laura gives us

J = L - 3

So notice that the common variable in these two equations is J. So if we can represent every girls age in terms of Jeri's, we will be down to one variable. So

T = J - 4

L = J + 3

Now, we can rewrite the original equation using only J's

38 = (J + 3) + J + (J - 4)

38 = 3J - 1

39 = 3J

13 = J

So Jeri is 13, and thus Theresa is 9 and Laura is 16.

is -5 a rational or an irrational number

Answers

Answer:

Rational

Step-by-step explanation:

An irrational number cannot be written as the ratio. of two integers. An irrational number is simply the opposite of a rational number. (Recall that a rational number is one that can be represented as the ratio of two integers.

A rational number is one that can be written as an integer over an integer, with non-zero denominator. ie. all your fractions.

An irrational number cannot be expressed as a ratio of integers

-5 is rational because it is a number that ends and is not a decimal that doesnt terminate.

Armando wants to raise funds at his school fair. He plans to charge 10 cents to pick marshmallows from his bag without looking. He will give: • 20 cents to anyone who picks a Blue marshmallow. • 50 cents to anyone who picks a Yellow marshmallow. • $1 to anyone who picks a White marshmallow. • Anyone picking a Red or Green marshmallow will lose their money There are as equal number of marshmallows of each color. 3a. Show work and explain why Armando will lose money with this game. Justify using mathematics.

Answers

Since the expected value for this game is negative, Armando will lose money.

The expected value is given by the sum of all outcomes multiplied by it's respective probability.

In this problem:

There are blue, yellow, white, red and green marshmallows, each with a [tex]\frac{1}{5}[/tex] probability of being picked.If red or green marshmallows are picked, Armando get the charge of $0.1.If someone picks a blue marshmallow, he loses $0.1.If someone picks a yellow marshmallow, he loses $0.4.If someone picks a white marshmallow, he loses $0.9.

Thus, the expected value is:

[tex]E = 0.1\frac{2}{5} - 0.1\frac{1}{5} - 0.4\frac{1}{5} - 0.9\frac{1}{5} = \frac{0.2 - 0.1 - 0.4 - 0.9}{5} = -0.24[/tex]

Since the expected value for this game is negative, Armando will lose money.

A similar problem is given at https://brainly.com/question/24855677

whats the numerator for the following rational expression 8/y+3/y=?/y

Answers

Answer:

11/y

Step-by-step explanation:

Becasue you gave a formula with a common denominator, you only have to focus on adding the numerators 8 and 3

8 + 3 = 11 so than 11 goes over 'y' as 11/y

Hope this helps!

Megan boarded a train at 10:23 and arrived at her destination
3 hours 5 minutes later. What time did she arrive at her.
destination

Answers

Answer:

She arrived at 1:28

Other Questions

Which of the following is not one of the seven warning signs of cancer?Question 3 options:A sore that does not healA wart or mole that stays the sameThickening or lump in a breast or elsewhereUnusual bleeding or discharge Low carbohydrate diets have been very popular recently. Many people today are going on variations of the high-protein, low-carbohydrate diet. Describe what happens in the body when only proteins and fat are ingested but carbohydrates are excluded. Are diets that are high in proteins and fat healthy weight-loss alternatives? Why or why not? Answer fast, please!!! Read the excerpt from Animal Farm.Mr. Pilkington, of Foxwood, had stood up, his mug in his hand. In a moment, he said, he would ask the present company to drink a toast. But before doing so, there were a few words that he felt it incumbent upon him to say.It was a source of great satisfaction to him, he saidand, he was sure, to all others presentto feel that a long period of mistrust and misunderstanding had now come to an end. There had been a timenot that he, or any of the present company, had shared such sentimentsbut there had been a time when the respected proprietors of Animal Farm had been regarded, he would not say with hostility, but perhaps with a certain measure of misgiving, by their human neighbours. Unfortunate incidents had occurred, mistaken ideas had been current. It had been felt that the existence of a farm owned and operated by pigs was somehow abnormal and was liable to have an unsettling effect in the neighbourhood. Too many farmers had assumed, without due enquiry, that on such a farm a spirit of licence and indiscipline would prevail. They had been nervous about the effects upon their own animals, or even upon their human employees. But all such doubts were now dispelled. Today he and his friends had visited Animal Farm and inspected every inch of it with their own eyes, and what did they find? Not only the most up-to-date methods, but a discipline and an orderliness which should be an example to all farmers everywhere. He believed that he was right in saying that the lower animals on Animal Farm did more work and received less food than any animals in the county. Indeed, he and his fellow-visitors today had observed many features which they intended to introduce on their own farms immediately.What results from the human farmers visit to Animal Farm? Select two options.The farmers fear that their animals will rebel as well.The farmers are impressed with how well the farm is run.The farmers vow to implement the same kinds of systems.The farmers decide that they want to be a part of the farm.The farmers are upset that the animals distrust them URGENT PLEASE HELP, respond to c, d, e, and f please !! Which functions are usually handed by local governments? ASSIMILATIONNNNNNNNASAPPPPPPPPPPP the nurse is caring for a patient who is complaining of tingling in her hands and fingers. the nurse knows this is a sign of what electrolyte imbalance? during the 1920s laws were passed that limited immigration into the united states. what was this called and why do you think these laws are supported by many americans? Write the equation of the vertical line that passes through the point (-4,-2). Find the angles marked x,y and z.ASAP Determine the value of the expression 2(x - 3) when x = 2. the width of the pyla dune is half of 1000 m. is that true or false What happens during meiosis I? *a. Chromosomes line up in pairs, separate, forming haploid cellsb. Chromosomes line up in pairs, separate, forming diploid cellsc. Chromosomes line up single file, separate, forming haploid cellsd. Chromosomes line up single file, separate, forming diploid cells Heredity is the transmission of genetic traits from parents to their offspring. Please select the best answer from the choices provided T F Plz, help ASAP!!!! I WILL MARK U BRAINLIESTChoose the best answer. Dictator Hugo _________ created a socialist state in Venezuela in which he held limitless power.BolvarCabralChvezPinochetIf you help me I will mark u brainiest! ONLY IF IT IS CORRECT and has backup reasoning. I need this correct, thank you Please help me on this its due High tides are located at__A an BB an DB an C Un paralelogramo con una base de 13cm y una altura de 8cm, su rea es de Draw pictures to show two ways to buy 324 marbles

For any two real numbers, a and b one and only one of these relations is true: 1. a = b 2. a < b 3. a > b

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

For any two real numbers, a and b one and only one of these relations is true:
1. a = b
2. a < b
3. a > b