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seropon [69]
3 years ago
13

Suppose n(x)= 22 and n(y) is 13 what is the maximum number of elements X ∪Y can have ?

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0
The inclusion/exclusion principle states that

|X\cup Y|=|X|+|Y|-|X\cap Y|

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).

Therefore, |X\cup Y| will have the most elements when the sets X and Y are disjoint, i.e. X\cap Y=\emptyset, which would mean the most we can can in this case would be

|X\cup Y|=|X|+|Y|=22+13=35

(Note that n(X)=|X| denotes the cardinality of the set X.)
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Parallel to y=2/3x+6 through (-3, 6)
Lana71 [14]

Answer:

y = (2/3)x + 8

Step-by-step explanation:

Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.

y = (2/3)x + ?

Plug in (-3, 6) for (x, y) in the equation.

6 = (2/3)(-3) + ?

6 = -2 + ?

? = 8

Final equation: y = (2/3)x + 8

7 0
3 years ago
What is the equation of the line that passes through point P (6, -8) and has a slope of zero?
EleoNora [17]

Answer:

A

Step-by-step explanation:

because it is a straight line locate at x = 6 that pass to every y coordinate, so it pass -8 too.

8 0
2 years ago
Sophia 4/8 yards of string. She used 1/6 of the string for a school project how many yards of string did she use for her project
MariettaO [177]
We will start off by simplifying 4/8 to 1/2

then we will multiply the fractions because it says "of"

1/2 × 1/6=1/12

therefore the answer is C. 1/12
7 0
3 years ago
Read 2 more answers
A sprinkler rotates 360 degrees the total are watered is 204yds squared<br> what is the raduius
SIZIF [17.4K]

The radius of the area the sprinkler has watered is 8.06 yards.

<h3>What is Rotation ?</h3>

Rotation is spinning around a fixed point with a fixed radius in circular motions.

It is given that a sprinkler rotates 360 degree

The area watered is 204 sq. yards

Radius = ?

A sprinkler rotates in circle

Therefore the area of the circle = π r²

204 = π r²

204 * 7 /22 = r²

r² = 64.91

r = 8.06 yards

Therefore the radius of the area the sprinkler has watered is 8.06 yards.

To know more about Rotation

brainly.com/question/1571997

#SPJ1

4 0
1 year ago
To increase an amount bu 17.5%what single multiplier would i use ?
-Dominant- [34]
That would be 1.175  Answer
3 0
3 years ago
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