ANSWER ONLY IF U KNOW I RLLY NEED HELP THIS IS THE LAST OF MY POINTS.

Which of these relations on {0, 1, 2, 3} are equivalence relations? Determine the properties of an equivalence re- lation that t

slava [35]

Answer:

The relations that are equivalence relations are a) and c)

Step-by-step explanation:

A relation on a set A is called an equivalence relation if it is reflexive, symmetric, and transitive

We are going to analyze each one.

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

Is an equivalence relation because it has all the properties.

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

Is not an equivalence relation. Not reflexive: (1,1) is missing, not transitive: (0,2) and (2,3) are in the relation, but not (0,3)

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

Is an equivalence relation because it has all the properties.

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

Is not an equivalence relation. Not transitive: (1,3) and (3,2) are in the relation, but not (1,2)

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

Is not an equivalence relation. Not symmetric: (1,2) is present, but not (2,1)Not transitive: (2,0) and (0,1) are in the relation, but not (2,1)

5 0

3 years ago

A straight line has the same gradient as y=3x+5 and it passes through the point (0,12).

Leokris [45]

Answer:

y = 3x + 12

Step-by-step explanation:

y = 3x + 5 has slope 5.

We need the equation of a line with slope 5 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

y = 3x + 12

5 0

2 years ago

Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using th

lukranit [14]

The total distance is an illustration of a linear function.

(1) Why the relationship is a function

The relationship is a function because all input values of h, have exactly one corresponding output value of d

(2) The function type

The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)

(3) The domain for a drive of 8 hours

The domain is the set of time the girls drive.

So, the domain is: [0,8]

(4) The range

The function is given as:

$d = 55h +10$

When h = 0,

$d = 55(0) +10 = 10$

When h = 8,

$d = 55(8) +10 = 450$

So, the range is: [10,450]

(5) The graph

See attachment

(6) The slope

A linear function is represented as:

$y = mx + c$

Where:

m represents the slope.

So, by comparison:

$Slope = 55$

The slope in this case represents the distance travelled per hour

(7) The y-intercept

In (6) above, c represents the y-intercept.

So, by comparison:

$c = 10$

The y-intercept in this case represents the initial distance

Read more about linear functions at

brainly.com/question/15602982

5 0

2 years ago

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is

CaHeK987 [17]

Answer:

The System of equation is $x+y=29, 5x + 2y = 100$ .

Step-by-step explanation:

Given:

Let 'x' be the number of questions worth 5 points.

Let 'y' be the number of questions worth 2 points

Total Number of Problems = 29

So the Total Number of Problems is equal to sum of the number of questions worth 5 points and the number of questions worth 2 points.

Framing in equation form we get;

$x+y=29$ .

Also Given:

Test is of Total Points = 100

Now Total points in test is equal to sum of the number of questions worth 5 points multiplied by and the number of questions worth 2 points multiplied by 2.

Framing in equation form we get;

$5x+2y=100$

Hence The System of Equations are $\left \{ {{x+y=29} \atop {5x+2y=100}} \right.$ .

7 0

3 years ago

Read 2 more answers

micah is keeping track of how much he spends this month on gas. in the first week he bought x gallons of gas at $2.39 per gallon

Lelechka [254]

Answer:

if you are trying to find the amount of gallons of gas she bought, the answer is 13.

Step-by-step explanation:

3 0

3 years ago