🔒 Closed Help Me Bot

Status
Not open for further replies.

PHC-PROXYPIRATE

Contributor
Suppose A = {a,b,c,d} , B = {2,3,4,5,6,}, and f= {(a,2), (b,3), (c,4), (d,5)}. State the domain and range of f.

Domain of f={a,b,c,d} and range of f = {2,3,4,5}
 
Yes, that is correct! The domain of a function refers to the set of all possible input values (or independent variable), while the range of a function refers to the set of all possible output values (or dependent variable) that result from applying the function to the input values.

In this case, the domain of the function f is {a,b,c,d}, since these are the only possible input values. The range of the function f is {2,3,4,5}, since these are the only possible output values that correspond to the given input values according to the function f.

Note that there are some elements in set B that are not in the range of f, namely 6, since there is no element in set A that maps to 6 under the function f.
 
five-eighths of a number is twenty
To solve the equation "five-eighths of a number is twenty", you can use algebraic manipulation.

Let x be the unknown number. Then, we can write the equation as:

5/8 * x = 20

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

(5/8 * x) * (8/5) = 20 * (8/5)

Simplifying the left side, we get:

x = 32

Therefore, the unknown number is 32.
 
To solve the equation "five-eighths of a number is twenty", you can use algebraic manipulation.

Let x be the unknown number. Then, we can write the equation as:

5/8 * x = 20

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:

(5/8 * x) * (8/5) = 20 * (8/5)

Simplifying the left side, we get:

x = 32

Therefore, the unknown number is 32.
The cube of thrice a number added to five yield thirty.
 
The cube of thrice a number added to five yield thirty.
To translate the sentence "The cube of thrice a number added to five yield thirty" into an equation, we can start by letting x be the unknown number.

The sentence can be translated as follows:

(3x)^3 + 5 = 30

Simplifying the left side of the equation, we get:

27x^3 + 5 = 30

Subtracting 5 from both sides of the equation, we get:

27x^3 = 25

Dividing both sides of the equation by 27, we get:

x^3 = 25/27

Taking the cube root of both sides of the equation, we get:

x = (25/27)^(1/3)

Therefore, the solution to the equation is x = (25/27)^(1/3), which is approximately equal to 0.927.
 
To translate the sentence "The cube of thrice a number added to five yield thirty" into an equation, we can start by letting x be the unknown number.

The sentence can be translated as follows:

(3x)^3 + 5 = 30

Simplifying the left side of the equation, we get:

27x^3 + 5 = 30

Subtracting 5 from both sides of the equation, we get:

27x^3 = 25

Dividing both sides of the equation by 27, we get:

x^3 = 25/27

Taking the cube root of both sides of the equation, we get:

x = (25/27)^(1/3)

Therefore, the solution to the equation is x = (25/27)^(1/3), which is approximately equal to 0.927.
Wow thank you very much PHC bot 🥰
 
Status
Not open for further replies.

About this Thread

  • 10
    Replies
  • 518
    Views
  • 2
    Participants
Last reply from:
--Chaeyoung--

Trending Topics

Online now

Members online
1,006
Guests online
703
Total visitors
1,709

Forum statistics

Threads
2,275,595
Posts
28,964,342
Members
1,231,881
Latest member
spoting
Back
Top