Answer:
66
Step-by-step explanation:
If there are <em>n</em> students, then the number of pairs is
.
With 12 students,
pairs can be formed.
The reason the formula works is this: Each of the 12 students can be paired with 11 other students (no student is paired with him/her self). But counting 12 x 11 = 132 counts each pair <u>twice</u>. Example: student A can be paired with student B,..., student B can be paired with student A. The pair was counted two times.
See the attached image that shows pairings of 5 students. There are
5(5 - 1)/2 = 5(4)/2 = 10 pairs.
Answer:
The y-intercept is -5.
Step-by-step explanation:
In algebra, "y=" and "f(x)=" is basically the same thing. You don't have to write them both. Also,
is in slope-intercept form, which is:
, where
is the y-intercept. That means "-5" is the y-intercept.