A function cannot have multiple outputs (y-values) for any given input
(x-values). For example, y=2x+3 is a function because no mater what
number x represents, there is a single, unique y-value (When x=3 y=9 ).
In other words, you can never have two (or more) y-values that
correspond to a single x-value. Therefore, a vertical line, for example
x=2, cannot be a function because it has an infinite amount of y-values
for a single x-value. A horizontal line is a function
because there is only one y-value for any given x-value. For example,
y=3. No mater what x-value is used, there is only one y-value possible
(in this case, y will always equal 3). I am, of course,
referring to the cartesian coordinate system, also known as the
rectangular coordinate system
In a direct variation relationship the values must satisfy that y = kx. This si y is always a constant value (k) times x.
So, you can find multiple values that meet this:
y = kx => k = y / x = 11 / 18
=> y = (11/18)x
Now you can give any value to x and fint the value of x that satisfy the relationship:
x y = (11/18)x
1 11/18
2 11/18 * 2 = 11/9
18 11/18 * 18 = 11
36 11/18 * 36 = 22
So, there you have several additional values for x and y in the same relationship that y = 11 and x = 18, and you can find many more using the same rule: y = (11/18)*x
The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n
Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)
Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12
19 i think though im pretty sure it is
Increased just means +
10739 is the sum
