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katovenus [111]
3 years ago
14

which equation is in standard form ? -1-3y=2(y-2x) -14x+6y=-30 2x+3y=-5x-2y+31 2(x-y)=2

Mathematics
1 answer:
laiz [17]3 years ago
7 0

the second one is standard

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Which function is best represented by this graph ​
zavuch27 [327]

Answer:the potato is ugly

Step-by-step explanation:because it has marks

8 0
3 years ago
(a) Let R = {(a,b): a² + 3b <= 12, a, b € z+} be a relation defined on z+)
grin007 [14]

Answer:

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Step-by-step explanation:

The relation R is an equivalence if it is reflexive, symmetric and transitive.

The order to options required to show that R is an equivalence relation are;

((a, b), (a, b)) ∈ R since a·b = b·a

Therefore, R is reflexive

If ((a, b), (c, d)) ∈ R then a·d = b·c, which gives c·b = d·a, then ((c, d), (a, b)) ∈ R

Therefore, R is symmetric

If ((c, d), (e, f)) ∈ R, and ((a, b), (c, d)) ∈ R therefore, c·f = d·e, and a·d = b·c

Multiplying gives, a·f·c·d = b·e·c·d, which gives, a·f = b·e, then ((a, b), (e, f)) ∈R

Therefore R is transitive

From the above proofs, the relation R is reflexive, symmetric, and transitive, therefore, R is an equivalent relation.

Reasons:

Prove that the relation R is reflexive

Reflexive property is a property is the property that a number has a value that it posses (it is equal to itself)

The given relation is ((a, b), (c, d)) ∈ R if and only if a·d = b·c

By multiplication property of equality; a·b = b·a

Therefore;

((a, b), (a, b)) ∈ R

The relation, R, is reflexive.

Prove that the relation, R, is symmetric

Given that if ((a, b), (c, d)) ∈ R then we have, a·d = b·c

Therefore, c·b = d·a implies ((c, d), (a, b)) ∈ R

((a, b), (c, d)) and ((c, d), (a, b)) are symmetric.

Therefore, the relation, R, is symmetric.

Prove that R is transitive

Symbolically, transitive property is as follows; If x = y, and y = z, then x = z

From the given relation, ((a, b), (c, d)) ∈ R, then a·d = b·c

Therefore, ((c, d), (e, f)) ∈ R, then c·f = d·e

By multiplication, a·d × c·f = b·c × d·e

a·d·c·f = b·c·d·e

Therefore;

a·f·c·d = b·e·c·d

a·f = b·e

Which gives;

((a, b), (e, f)) ∈ R, therefore, the relation, R, is transitive.

Therefore;

R is an equivalence relation, since R is reflexive, symmetric, and transitive.

Based on a similar question posted online, it is required to rank the given options in the order to show that R is an equivalence relation.

Learn more about equivalent relations here:

brainly.com/question/1503196

4 0
2 years ago
Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three
icang [17]

Answer: No

Step-by-step explanation:

According to triangle inequality theorem which state that: the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Now let's test the given parameters if they obey this theorem

4 inches, 5 inches and 1 inch

4 + 5 = 9

9 > 1 correct

5 + 1 = 6

6 > 4 correct

4 + 1 = 5

5 not > 5 wrong

Therefore he won't be able to create the triangular component with these toothpicks without modifying any of the lengths

3 0
3 years ago
Read 2 more answers
What is the domain and range?
Viefleur [7K]

Answer:

Domain is your x max and Min, Range is your y max and Min

Step-by-step explanation:

Domain would be -5 to 8 or (-5,8)

range would be -3 to 2 or (-3,2)

8 0
3 years ago
Read 2 more answers
Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this
Anastasy [175]

Answer:

Step-by-step explanation:

Let X be average interest paid monthly by a bank's Visa cardholders

Given that X is N(28, 8)

In the following to find out probability we convert X to z score and use std normal distribution table

Z = \frac{x-28}{8}

Probability being less than 1 is here equal to the proportion also.

A) P(X>32) = P(Z>0.5)=0.5-0.1915=0.3085

B) P(X>40) = P(Z>1)=0.5-0.3413=0.1687

C) P(X<19) = P(Z<-1.125)=0.5-0.0438=0.4562

D) We have to find 19th percentile here

Z =-0.88

X=28-0.88(8)\\=20.96

5 0
3 years ago
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