a) {1,5,6,7,8}
b) {5}
c) {1,2,4}
d) {} = empty set
Step-by-step explanation:
- It is based on set theory.
- To find "a" first simplify within brackets.
- A' = everything apart from A which is {5,6,7,8} even universal.
- B'= everything apart from B which is {1,2,7,8}
- C'= everything apart from C which is {1,4,5,8}
- The notation "n" is intersection anything that is common in both.
- The notation "U" is "Union" everything within both.
- Rule if Union has more than one common it would still be mentioned.
- As one won't be written as twice.
- (B'nC') apart from B and apart from C the common in both is {1,8}
- A' U {1,8} apart from A union all in (B'nC')= {1,5,6,7,8}
- (BnC') same all of B intersection everything apart from C.
- A'n(BnC') = {5}
- (B'UC') = everything apart from B and C common in A n(B'UC') ={1,2,4}
- (AUBUC)' union all ABC but a complement gives 8.
- (AUBUC) union all ABC but not universal number{1,2,3,4,5,6,7}
- Intersection between them gives empty set as both are not common.
To solve this problem you must apply the proccedure shown below:
1. You have the following equation of a parabola, given in the problem above:
x<span>=1/16y^2
2. Then, based on the graph attached, you have:
p=y^2/4x
p=8^2/(4)(4)
p=64/16
p=4
3. The directrix is:
directrix=h-p
directrix=0-4
directrix=-4
The answer is:-4</span>
Hiking every 12 days : 12,24,36
swimming every 6 days : 6,12
they will go both swimming and hiking 12 days from now