show that the function [tex] f : R \dashrightarrow R [/tex] defined by f ( x ) = [tex]\frac{1}{x} \\ [/tex] is one - one but not onto.

thankyou! :)​

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given function is :

[tex]\qquad \tt \dashrightarrow \:f(x) = \frac{1}{x} [/tex]

here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.

but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]


Related Questions


A line that includes the point (10, 0) has a slope of 1/10 slope-intercept form? What is its equation in slope-intercept form?

Answers

Step-by-step explanation:

[tex](y - 0) = \frac{1}{10} (x - 10) \\ y = \frac{1}{10} (x - 10)[/tex]


Is the graphed function linear?
Yes, because each input value corresponds to
exactly one output value.
Yes, because the outputs increase as the inputs
increase
O No, because the graph is not continuous.
No, because the curve indicates that the rate of
change is not constant

Answers

Answer:

No Because the curve indicates that the rate of change is not constant!

Step-by-step explanation:

Linear functions are straight lines diagonally!

This function shows a rate of growth through time which isn't describing constant growth.

Constant = Linear

Decide if each set might produce one or more gaps when represented by a histogram. 1.The ages of students in a sixth-grade class. 2. The ages of people in a elementary school. 3. The ages of people eating in a family restaurant.
4. the ages of people who watch football. 5. The ages of runners in a marathon.

Answers

The set of data that might produce one of more gaps on thr histogram are:

the ages of people who watch football; andthe ages of people eating in a family restaurant.

What is a Histogram?

A histogram is a graphical representation of data such that the data is organized by data points into user-specified ranges.

The categories of people highlighted above will cause gaps because there is an increased likelihood that their ages will vary greatly or be distanced from the mean.

Learn more about Histograms at:

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An unknown number x is at most 10. Which graph best represents all the values of x?

Answers

Answer:

It is the last one.

Step-by-step explanation:

I know Math :)

The bottom graph, as the black dot represents less than or equal to

please help me Find M

Answers

The answer for your question is : 80

Suppose the Federal Reserve set the reserve requirement at 20%. Assume that banks lend all reserves that are not required to be held. Round the answers to two decimal places.

Answers

Answer:

whaaaat iisss these. answeeeeeeer??

Mrs Silverstein has 14 boys and Il girls in her
class. She must select two students at random to
serve as the class presidents What is the
probability that she will choose a boy followed by a
giri?

Answers

Answer:

Step-by-step explanation:

Here, I will instead go through the process for finding the probability of choosing two girls. Then once you understand how it was done, hopefully you will be able to answer the actual question for yourself.

Finding the probability of choosing two girls. Let's make it simpler by starting with the probability of choosing the first girl only.

Probability of choosing the first girl. (Note: the letter chosen to represent the event is not important. Pick something that makes sense to you and be consistent)

P(G1) = # of girls / # of total outcomes

So the number of girls we know to be 11. What is the number of total outcomes? Well a boy or a girl can be chosen, and there are 14 boys and 11 girls, for a total of 25 students.

       P(G1) = 11/ 25

Let's find the probability of choosing the second girl from here.

P(G2) = # of girls / # of total outcomes

However, this time things have changed. We've already chosen one girl, so the number of girls remaining to choose from is reduced 11 to 10. And the total number of students to choose from is reduced from 25 to 24.

P(G2) = 10 / 24

Now we have the probability of choosing the first girl and the probability of choosing the second girl. From here, we just need to combine them to find the probability of both things happening together. To calculate the probability of two different events occurring, you multiply the two probabilities together.

 Probability of choosing two girls. Let's use T for Two girls.

     P(T) = P(G1) × P(G2) = (11 /25) × (10/24)

From here you can use a calculator to find the answer. This answer can either be written as a fraction, a decimal, or a percentage.

             

                   = 0.19     = 19 / 100      = 19%

can someone please give me the right answer and please help me asap

Answers

Answer:

congruent

Step-by-step explanation:

if r_1=r_2 then, they should be the same... -congruent

For each table, determine whether the relationship shows a linear function. If
so, write the function.
X
1
y
b) 1
c)
y
y
1
9
O
3.2
1
O
4.2
2
4
5.2
3
8
6.2
4
16
7.2
5
24
2345
6303
-3
246
2
4
6
8

Answers

Step-by-step explanation:

7.2

5

24

2345

6303

-3

2467.2

5

24

2345

6303

-3

246

The linear function is given by table B and the equation y = ( 1/2 )x + 3.2

What are Linear Equations?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.

Given data ,

Let the linear function be represented as A

Now , the value of A is

Let the x values be x = { 0 , 2 , 4 , 6 , 8 }

Let the y values be y = { 3.2 , 4.2 , 5.2 , 6.2 , 7.2 }

Now , the equation of line is y - y₁ = m ( x - x₁ )

where m is the slope

m = ( 4.2 - 3.2 ) / ( 2 - 0 )

m = 1/2

On simplifying , we get

y - 3.2 = ( 1/2 ) ( x - 0 )

Adding 3.2 on both sides , we get

y = ( 1/2 )x + 3.2

Hence , the linear function is y = ( 1/2 )x + 3.2

To learn more about linear equations click :

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#SPJ7

The lengths of the sides of a triangle are 9​, 12​, and 15. Classify the triangle as​ acute, right, or obtuse.

Answers

Answer:

right angle triangle

Step-by-step explanation:

by applying Pythagoras theorem

[tex] RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS[/tex]

hence proved


Which expression is equivalent

Answers

Answer:

the answer is 1/27. C :))

Find the area of the shaded region.

Answers

I hope I can help you:)

How many terms are there in v/3 + 2 x 5

Answers

Answer:1

Step-by-step explanation:

terms are separated by + or - signs

There are 100 patients in a hospital with a certain disease. Of these, 10 are selected to undergo a drug treatment that increases the percentage cured rate from 50 percent to 75 percent. What is the probability that the patient received a drug treatment if the patient is known to be cured?

Answers

Answer:

1/7

Step-by-step explanation:

hope this helps x have a great day

Differentiate cosec5x

Answers

[tex]\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)[/tex]

12. An empty avocado crate weighs 4.2 kg. How many avocados weighing 0.3 kg each can be added before the total weight of the crate reaches 15.0 kg?

Answers

We know that an empty crate weighs 4.2, and the weight of each avocado is 0.3

So we can form an equation: 15.0=4.2+0.3x

(Where x is the number of avocados)

Move 4.2 to the other side as a negative

10.8=0.3x

Divide both sides by 0.3

Therefore, the amount of avocados that can be added is 36

BRAINLIEST :D?

Find the length of c. Round your answer to the nearest tenth.

Answers

Answer:

c = 12

Step-by-step explanation:

This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:

hypotenuse = 2xline opposite of 30° = xline opposite of 60° = x√3

With that being said....

c = 2x

6 = x

a = x√3

We know that x = 6, so now solve for a & c:

c = 2(6) = 12

a = 6√3

Hope this helps!

Find the area of this triangle

Answers

Answer:

22

Step-by-step explanation:

22 is the area of the given traingle

Find the value of y.
AABC = ADEF
A
17y - 8
B
(11x - 4)
D
23
117
12 + 13y
'C
E

Answers

Answer: 5

Step-by-step explanation:

Yosef waters a date tree and a lemon tree. The lemon tree is 8 feet tall, The
equation I) 3 x 8 can be used to find the height of the date tree. How do the
heights of the two trees compare?
The lemon tree in 3 feet taller than the date tree.
The lemon tree is 3 times as tall as the date treo,
The date tree is 3 feet taller than the lemon tree.
The date tree is 3 times as tall as the lemon tree,
Done -
My Progress
Che 2023 by Commanches. Al rights reserved. These material, or any portion thereof, may not be reproduced or shared in any manner without express written consent of Cumiculum

Answers

The relationship between the heights of the tree is the date tree is 3 times as tall as the lemon tree.

What does division mean?

Division is the process of determining the quotient of two or more numbers. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

What is the relationship between the trees?

Height of the date tree / height of the lemon tree

3 x 8 /8 = 3

To learn more about division, please check: https://brainly.com/question/13281206

The perimeter of an envelope is 30 inches. It is 6 inches tall. How wide is it?

Answers

Answer:

The perimeter of an 30 inch wide = 20inches wide bro

Step-by-step explanation:

1. Suppose three companies A, B and C dominate the market for a certain product and are
competing against each other for a large share of the market. Currently company A has 2/9 of the
market, company B has 4/0 of the market and company C has 1/3 of the market. The market
survey indicates that every 6 months Company A retains of its customer and loss 1/6 to
company B and 1/12 to company C. Company B retains 12 of its customers and loss 1/3 to
company A and 1/6 to company C. Company C retains 3/8 of its customers and loss A to
company A and 3/8 to company B. Find the market share of each company in the long run is
about

Answers

The market share of the companies is an illustration of fractions.

The market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively

How to determine the market shares in the long run

The current market shares are:

Company A = 2/9Company B = 4/9Company C = 1/3

After 6 months, we have:

Company A:

Retains 3/4Losses 1/6 to BLosses 1/12 to C

Company B:

Retains 1/2Losses 1/3 to ALosses 1/6 to C

Company C:

Retains 3/8Losses 1/4 to ALosses 3/8 to B

The amount of customers lost by each company is

Lost = Market share * [Share retained - Share lost to the other two companies].

So, we have:

A = 2/9 * [3/4 - 1/6 - 1/12] = 1/9

B = 4/9 * [1/2 - 1/3 - 1/6] = 0

C = 1/3 * [3/8 - 1/4 - 3/8] = -1/12

The amount of customers gained by each company is

Gain = Market share of company gained from * Share gained

So, we have:

A = 1/3 * 4/9 + 1/4 * 1/3 = 25/108

B = 1/6 * 2/9 + 3/8 * 1/3 = 35/216

C = 1/12 * 2/9 + 1/6 * 4/9 = 5/54

The total gain in 6 months is:

Total Gain = Gain + Loss.

This gives

A = 25/108 + 1/9 = 37/108

B = 35/216 + 0 = 35/216

C = 5/54 - 1/12 = 1/108

Hence, the market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively

Read more about fractions at:

https://brainly.com/question/1622425

What is the root of 12x=9+5x2

Answers

Answer:

Step-by-step explanation:

Answer:

(6 ± 3i)/5

Step-by-step explanation:

12x = 9 + 5x²

5x² - 12x + 9 = 0

Method 1

Factors that add to = b (-12) and multiply to = ac (45):  3 and -15

5x² + 3x - 15x + 9 = 0

5x(x - 3) + 3(x + 3) = 0

(x-3) and (x+3) do not match !!!!

Method 2 - Quadratic Formula

-b ± √(b² - 4ac)/2a

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √(144 - 180)/10

12 ± √-36/10

(12 ± 6i)/10

(6 ± 3i)/5

I hope this helps!

Find the perimeter of the parallelogram with these vertices.
(3.5), (-4. 2), (3.1), (-4. -2)
Give an exact answer (not a decimal approximation).
Simplify your answer as much as possible.

Answers

Check the picture below.

so we can say that two sides are "4" each in length, since opposite sides are equal, let's find how long the slanted sides are.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-4)]^2 + [5 - 2]^2}\implies d=\sqrt{(3+4)^2+3^2} \\\\\\ d=\sqrt{49+9}\implies d=\sqrt{58} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{4~~ + ~~4~~ + ~~\sqrt{58}~~ + ~~\sqrt{58}\implies 8+2\sqrt{58}}[/tex]

Simplify the following expression.
6.64 ÷ 8

A.
1.245
B.
0.664
C.
0.83
D.
0.93

Answers

Answer:

[tex]0.83[/tex]

Step-by-step explanation:

[tex]6.64 \div 8[/tex]

[tex]0.83[/tex]

Answer:

The answer should be C.)0.83, hope this helps.

How much would it cost to tile a room that is 279 square feet If each 6 inch tile cost $0.65?

Answers

Answer:

$362.70

Step-by-step explanation:

Jackson is organizing textbooks on his bookshelf. He has an English textbook, a math textbook, and a history textbook. How many different ways can he line the textbooks up on his bookshelf?

Answers

Answer:

6

Step-by-step explanation:

Since this problem is easier, you can just do counting or you can use 3!

Which is 6

having issues with this question

Answers

Answer:

[tex]5q^8y^{16}\sqrt{5qy}[/tex]

Step-by-step explanation:

[tex]\sqrt{125q^{17}y^{33}} =\sqrt{5*5^2*q*q^{16}*y*y^{32}}=5q^8y^{16}\sqrt{5qy}[/tex]

Which of of the following statements are true? Select all that.

Answers

Answer:

I think the answer is <1 and <4 are supplementary angles

HELPPPPPPPPPP!!!!!!!!!!!!!

Answers

A. true

B. false

C. false

D. false

hope it helps

have a good day :)

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