Answer:
Step-by-step explanation:
an employee is taxed 6.2 percent of their gross pay for Social Security, up to $127,200. After an employee has earned that much, Social Security payments are no longer deducted for the remainder of the year.
Use the ! tool to find the # of combinations.
8!/5! = 40,320/120 = 336
Answer:
isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let 
denote a set of elements. 
would denote the set of all ordered pairs of elements of 
.
For example, with 
, 
and 
are both members of . However, 
because the pairs are ordered.
A relation on is a subset of . For any two elements
, 
if and only if the ordered pair 
is in 
.
A relation on set is an equivalence relation if it satisfies the following:
- Reflexivity: for any
, the relation needs to ensure that 
(that is: 
.)
- Symmetry: for any , if and only if
. In other words, either both and 
are in , or neither is in .
- Transitivity: for any
, if and 
, then 
. In other words, if and 
are both in , then 
also needs to be in .
The relation (on ) in this question is indeed reflexive. 
, 
, and 
(one pair for each element of ) are all elements of .
isn't symmetric. 
but 
(the pairs in 
are all ordered.) In other words, 
isn't equivalent to 
under even though 
.
Neither is transitive. 
and 
. However, . In other words, under relation , 
and 
does not imply 
.
Answer:
A
Step-by-step explanation:
First, put this equation in slope intercept form.
Where m is the slope and b is the y intercept.
Since it's greater than, the solution set is above the line, effectively eliminating graph D.
Now we should graph it.
We can see that the point 
is on the graph, and only Graph A has that point. Therefore, Graph A is the correct graph.
