Step-by-step explanation:
Consider the provided information.
We have given that H and k are the subgroups of orders 5 and 8, respectively.
We need to prove that H∩K = {e}.
As we know "Order of element divides order of group"
Here, the order of each element of H must divide 5 and every group has 1 identity element of order 1.
1 and 5 are the possible order of 5 order subgroup.
For subgroup order 8: The possible orders are 1, 2, 4 and 8.
Now we want to find the intersection of these two subgroups.
Clearly both subgroup H and k has only identity element in common.
Thus, H∩K = {e}.
Answer:
y<-5/4
Step-by-step explanation:
3y+7<2-y
-7 on both sides
3y<-5-y
+y on both sides
4y<-5
divide by 4 on both sides
y<-5/4
Answer:
The value of Lucys house at the start of 2017 is 231525.
Step-by-step explanation:
It is given that the initial value of Lucys house is 200,000. The at the start of 2017.
The exponential function is defined as

Where, P₀ is initial value, r is growth rate, t is time in years.
The value of house is defined by the function

Where, t is number of years after 2014.

The difference between 2017 and 2014 is 3 years.

Therefore the value of Lucys house at the start of 2017 is 231525.
Answer:
Hello in order to complete this question we need the table. If you give the table I am sure you will get more helpful and accurate information
Step-by-step explanation: