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7nadin3 [17]
3 years ago
9

Hellp mee plzz in these all with proper formula​

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Step-by-step explanation:

the answer is in picture

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Which of these relations on the set {0, 1, 2, 3} are equivalence relations? If not, please give reasons why. (In other words, if
Delicious77 [7]

Answer:

(1)Equivalence Relation

(2)Not Transitive, (0,3) is missing

(3)Equivalence Relation

(4)Not symmetric and Not Transitive, (2,1) is not in the set

Step-by-step explanation:

A set is said to be an equivalence relation if it satisfies the following conditions:

  • Reflexivity: If \forall x \in A, x \rightarrow x
  • Symmetry: \forall x,y \in A, $if x \rightarrow y,$ then y \rightarrow x
  • Transitivity: \forall x,y,z \in A, $if x \rightarrow y,$ and y \rightarrow z, $ then x \rightarrow z

(1) {(0,0), (1,1), (2,2), (3,3)}

(3) {(0,0), (1,1), (1,2), (2,1), (2,2), (3,3)}

The relations in 1 and 3 are Reflexive, Symmetric and Transitive. Therefore (1) and (3) are equivalence relation.

(2) {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)}

In (2), (0,2) and (2,3) are in the set but (0,3) is not in the set.

Therefore, It is not transitive.

As a result, the set (2) is not an equivalence relation.

(4) {(0,0), (0,1), (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3)}

(1,2) is in the set but (2,1) is not in the set, therefore it is not symmetric

Also, (2,0) and (0,1) is in the set, but (2,1) is not, rendering the condition for transitivity invalid.

5 0
3 years ago
In the parallelogram w
Ilia_Sergeevich [38]

Answer:

can't see any parallelogram

7 0
3 years ago
Read 2 more answers
A fitness center runs a contest for customers who enroll in its annual membership plan. The customers are allowed to draw a coup
krek1111 [17]

1. 20/35(30)=17.142

2. 5/35(60)=17.142

3. 10/35(60)=17.142



6 0
3 years ago
Read 2 more answers
The expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children
ss7ja [257]

Answer:  x represents the number of months, 150 represents one-time materials fee,  2( 21x + 75 ) represents total fees in x months and 42 represents rate of change.

Step-by-step explanation:

Since, Here the expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club.

Let, f(x) represents the monthly tuition fee

Therefore, f(x)= 2( 21x + 75 )

⇒f(x)= 42 x +150

Again according to the question, there is a one-time materials fee which must be free from the variable.

Therefore In f(x) , 150 must represent one time material fees.

And, x is variable, and here number of months is a variable.

Thus, x must be denote the number of months.

And, 42 must be denote the fees for 1 month.



8 0
3 years ago
Jackson started writing a story at 8:30 AM He stopped writing at 1:15 P.M. How long did he write?​
Scilla [17]

Answer: he wrote for an five hours and forty-five minutes

Step-by-step explanation:

7 0
3 years ago
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