Answer:
1,518,000 committees.
Step-by-step explanation:
We have been given that the judiciary committee at a college is made up of three faculty members and four students. Ten faculty members and 25 students have been nominated for the committee.
We will use combinations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
Therefore, 1,518,000 judiciary committees could be formed at this point.
Answer:
y = x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )
m = =
=
=
, then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (2, 12 ) , then
12 = 3 + c ⇒ c = 12 - 3 = 9
y = x + 9 ← equation of line