a semigroup which has a left identity element and in which every element has a right inverse is a group

Answers

Answer 1

Element and in which every element has a right inverse is a group?

Now, If both the identity and the inverse are of the same side, this is simple. For, instead of the above, say every element has a left inverse. For a∈G denote this left inverse by a−1.

Then(aa−1)(aa−1)=a(a−1a)a−1=aa−1

and we can use the fact that

cc=c

⟹c=1

to get that inverses are in fact two-sided: aa−1=1

From which it follows that

a=1⋅

a=(aa−1)a=a(a−1a)=a⋅

1 as desired. But in the scenario given we cannot use cc=c⟹c=1, and I can see no other way to prove this.

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Related Questions

Jakes car has 27 gallons of gas in the tank at the beginning of his road trip. Jake uses 6 gallons of gas every hour he drives.

Answers

Answer:

he could drive 4 hours

Step-by-step explanation:

Step-by-step explanation:

if he drives for 1 hour he will have 21 gallons left

2 hours = 15 gallons left

3 hours = 9 gallons left

4 hours = 3 gallons left

4.5 hours = 0 gallons left

he could drive a total of 4.5 hours before he runs out of gas

Evaluate each expression.
a) 3 + x for x = 1/2 b) 3 -- x for x = -2 c) 3x for x =1/4

Answers

you should write 1/2instead of x so 3/2 in a , b-5 c-3/4

4c+7=27+6c what does c=

Answers

Answer:

-10

Step-by-step explanation:

ILL GIVE BRAINLIST PROMISE!!!!!!!

Answers

Answer:

4  11 /18

(Decimal: 4.611111)

Step-by-step explanation:

8 1/6-3 5/9

4  11 /18

(Decimal: 4.611111)

Answer:

SHE OR HE IT IS RIGHT(had the question)

4  11 /18

5+3w+3-w combine like terms to simplify

Answers

Answer:

8 + 2w

Step-by-step explanation:

Change all signs to addition (subtraction is the same as adding a negative):

5 + 3w + 3 + -w

Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:

5 + 3 + 3w + -w

Simplify:

8 + 2w

Answer: 8 + 2w

Hope this helps! :)

The answer would be 8 + 2w because your combining like terms. You would have to add 5+3 to get 8. And combine 3w-w to get 2w

. Which expression is NOT equal to 28? o A 1.288 = 46 B 1 820 = 65 C. 1456 - 52 D 1107 = 42​

Answers

The answer is d. I’m pretty sure

Write two like terms using whatever variable(s) you’d like. Be sure to include exponents. Explain why these are like terms.

Answers

Answer: 10x^2+7x^2= 17x^2

Step-by-step explanation:

This binomial is alike because they hold the same value of exponent which is why they can be combined, since you add the coefficient of the variables leaving the exponents unchanged.

PLEASEEEE HELPP PLEASEEEE!! which one represents -7pi/3

Answers

A.
-7pi/3 = -420 degrees which means it rotates left

Help easy math problem!!!!!!’

Answers

Look the answer up on the delta math website it’ll pop up

Answer:

I'm not sure if this is right, but hope this helps tho

Step-by-step explanation:

It's a calculator

Please answer these XD

Answers

Answer to number 1
X=2

Answer:

it`s 1

Step-by-step explanation:

xdn`t i`m too lazy to put the full explanation i will put an ad

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Kratos cicle, Rides like a GOD

Determine the solution for the system of equations:

y = -2x + 1
3x - 2y = 5

A.(-1, 1)
B.(1, -1)
C.(-1, 0)
D.No Solution

Answers

Answer:

Step-by-step explanation: d

A triangle has a
height of 2x + 6 and a base length of x + 4.
What is the area of the triangle?

Answers

Answer: A=x^2+7x+12

Step-by-step explanation:

A=area of triangle. h=height. b=base

A=bh/2

A=(x+4)(2x+6)/2

A=(x+4)(2x/2+6/2)

A=(x+4)(x+3)

A=x*x+4x+3x+4*3

A=x^2+7x+12

What is the coefficient of x 8+5x-y

Answers

Answer:

The coefficient is 5.

Step-by-step explanation:

The coefficient is the number that comes before the variable, 8 wouldn't be a coefficient because it doesn't have a variable, so therefore the correct answer is 5.

I hope I could help :)

The solution is 5

The coefficient of the equation A = 8 + 5x - y is 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

The value of A is

A = 8 + 5x - y   be equation (1)

Let the coefficient be = c

The coefficients are the numbers by which the variables in an equation are multiplied

So , the coefficients of the equation is 5

Therefore , the value of c = 5

Hence , the coefficient of the equation is 5

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2) What is the ratio of sixth-grade students who had been to a baseball game to the number
of students who had traveled on an airplane OR own either a cat or a dog? (Write the ratio
in THREE ways)

Answers

i can help if u give me like something to follow to find the ratio?

Answer:

There isn't a graph or more information to use to find the ratio but I'll put here 3 ways to write a ratio so hopefully that might help. If more information is added later I will edit the answer.

Step-by-step explanation:

First way:

Use the word "to". For example: 2 to 4.

Second way:

Use a fraction. For example: 2/4.

Third way:

Use a colon. For example: 2:3.

kim traveled at constant speed of 50 miles per hour over 150 miles. how many hours did it take her?

Answers

Answer: 3

Reason: I just did 150 miles divided by 50, and I received the answer 3

I hope this helps, and Happy Holidays! :)

Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.

Answers

Answer:

900

Step-by-step explanation:

K N

3x 5x

3x+150:5x-150=7:9

3x+150/5x-150=7/9

9(3x+150)=7(5x-150)

27x+1350=35x-1050

27x-35x=-1050-1350

-8x=-2400

8x=2400

X=2400/8

X=300

Kate money 3x=3×300=900

Answer from abid58b

What is the solution to the system of equations below. Y=3/4x-12and y=4x-31 (-4,-15) (-4,-12). (4,-9). (4,-47)

Answers

Answer:

(4, –47)

Step-by-step explanations

I think this is the right answer but sorry if im wrong.

Evaluate 642 × 10²
Give your answer as a fraction in its simplest form.

Answers

[tex] \sf \Large{64200} [/tex]

Step-by-step explanation:

642(102)

=642*102

=642*(10*10)

=64200

Question 2 of 25 the legs of a right triangle measure 10 inches and 4 inches. what is the area of the triangle?

Answers

Answer:

B: 20 sq. inches

Step-by-step explanation:

The area of the triangle is calculate by;  A= b. h /2

b= 10 inches

h = 4 inches

10 . 4= 40 sq. inches : 2 = 20 sq.inches

The area of the triangle is 20 sq. inches



What is the slope of the line?


PLEASE NOW HELPPPP!!!

Answers

The answer:

The slope is 4/5

Explanation:

Find two points and count the rise and the run

Answer:

4/5

Step-by-step explanation:

A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195, how many times did he visit the gym? Define Variable: Equation: Solve (Show all steps):

Answers

Answer:

The number of times he visited the gym is 19 times.

Step-by-step explanation:

A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195, how many times did he visit the gym? Define Variable: Equation: Solve (Show all steps):

Let the number of times he visits the gym be represented as x

A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. If Calvin spends $195,

The Amount he spends = $195

= $100 + $5 × x

$195 = $100 + 5x

5x = $195 - $100

5x = $95

x = 95/5

x = 19 times

Therefore, the number of times he visited the gym is 19 times.

For a play, the ticket prices were $5.00 per child and $8.50 per adult. the children bought 100 more tickets than the adults. the total box office income was $905.00. how many tickets of each type were sold?

Answers

Using the concept of linear equations, number of tickets bought by the children and adults are 130 and 30 respectively.

What is Linear Equation in one variable?

The linear equation in one variable is written as ax + b = 0, where a and b are two integers and x is a variable. This equation has only one solution.

Given that,

Ticket price per child = $5.00

Ticket price per adult = $8.50

Total box office income = $905.00

Let the tickets bought by the adults be x.

Then, tickets bought by the children will be x + 100.

Here, x is a variable.

Linear equation will be:

8.50x + 5(x + 100) = 905.00

8.50x + 5x + 500 = 905.00

13.50x + 500 = 905.00

13.50x = 905.00 - 500

13.50x = 405.00

x = 405.00/13.50

x = 30

So, the tickets bought by the adults = 30

And tickets bought by the children = x + 100

Tickets bought by the children = 30 + 100

Tickets bought by the children = 130

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Which statement BEST explains the role of DNA in the growth and specialization of an organisms?

Question 2 options:

A.DNA stores genetic information


B.DNA directly controls your body.


C.DNA controls which proteins are produced in each cell for different functions.


D.DNA creates all the same proteins in each cell of the organism's body. Will give brainliest help

Answers

A. DNA stores genetic information
DNA is located inside the nucleus of a cell which holds a person's genetic information

If a ∥ b and e ∥ f, what is the value of y? 87 88 91 92 ​

Answers

58w

Step-by-step explanation:

syukrwdgiiyredghjjrwwxvko8wasc9eyp

Answer:

92

Step-by-step explanation:

Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.

-I got the question right on the test

Hope this helps!

1. A science experiment calls for 150 mL of water, but Simon measures out 147 mL. What is the absolute error?​

Answers

Answer:

Step-by-step explanation:

150-147=3ml

he didn't add the remain of 147ml which was 3ml.

may someone plz answer this​

Answers

Answer:

At least 2 weeks

Step-by-step explanation: You divide until you reach 200

The table represents a linear function
What is the slope of the function?
-3
-2
3
4

Answers

Answer:

3

Step-by-step explanation:

.......................

Answer:

3

Step-by-step explanation:

The formula of to calculate slope of a linear function is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and so lets take any two points from the table to calculate the slope. Lets take,

(0 , 4) and (1 , 7) and lets plug it in the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{7-4}{1-0}\\\\m=3[/tex]

So the slope of the function is 3

if f(x)=5x-12, what is f(2)?

Answers

Answer:

Step-by-step explanation:

5x2-12=10-12=-2

Answer:

=-2 ( B.)

Step-by-step explanation:

f(x) = 5x-12

f(2)= 5(2)-12

=10-12

=-2

I hope helps you and if you want and consider you can give me a Brainly crown

A seal has 1,500 nerves per whisker. That is 101010 times as many as a rat has. How many nerves per whisker does a rat have?

Answers

Answer:

0.01485...

Step-by-step explanation:

Given:

A seal has 1,500 nerves per whiskerThis is 101,010 times as much as a rat has per whisker

We will:

Divide the number 1,500 by 101,010

1,500 ÷ 101,010 = 0.0148500149

0.0148500149 ⇒ 0.01485 when rounded

Your answer: 0.0148500149, 0.01485 when rounded

Carry on Learning!

In the fraction 7/8, the numerator denominator is 7.

Answers

7/8 is the fraction

7 is the numerator

8 Is the denominator

Answer:

hhshshidhidhsd

Step-by-step explanation:

how you feel about that????

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