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icang [17]
3 years ago
10

Find the cardinal number of the set: {2,4,6,...,18}

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0

Answer:

9

Step-by-step explanation:

The cardinality of a set - the number of terms in that set.

in the set {2, 4, 6, ... 18}

We can assume that the numbers follow a pattern: in this case, the pattern is multiples of 2 till 18 starting with 2.

so that means that the full set is

{2, 4, 6, 8, 10, 12, 14, 16, 18}

There are 9 numbers in that set;

so the cardinality of the set is 9

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An equation that passes through (0, -2/3) and (-3, -2/3)
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Answer:

y = 0x - 2/3

Step-by-step explanation:

We are asked to find the equation of the line

Step1: find the slope

( 0 , -2/3) ( 3 , -2/3)

m = (y_2 - y_1 )/ (x_2 - x_1)

x_1 = 0

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x_2 = 3

y_2 = -2/3

Insert the values into the equation

m =( -2/3 - (-2/3) / (3 - 0)

= -2/3 + 2/3 / 3

= 0 / 3

m = 0

Step 2: sub m into the equation

y = mx + c

y = 0x + c

Step 3: sub any of the two points given into the eqn

y = 0x + c

Let's pick ( 3 , -2/3)

x = 3

y = -2/3

-2/3 = 0(3) + c

-2/3 = 0 + c

c = -2/3

Step4: sub c into the equation

y = mx + c

y = 0x + c

y = 0x - 2/3

Therefore, the equation of the line is

y = 0x - 2/3

8 0
3 years ago
What is the range
Elena-2011 [213]
C I believe the -2 part that was the one just looked it up on google XD hope it helped
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3 years ago
Which coordinate plane shows the graph of 3x + y > 9
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Well considering that you did not give any option to choose from I cant give you an answer,   but the graph should look like a line with the y-intercept at 9 and the x-intercept at 3, and all of the region to the right of the line shaded
4 0
3 years ago
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