In a student government election, 6 seniors, 2 juniors, and 3 sophomores are running for election. students elect four at-large senators. in how many ways can this be done?

330 ways.

Step-by-step explanation:

4 senators of 11 people should be selected, that is a combination of the C(n,r) form, where

n = 11

r = 4

That's C(11,4)

The combinations form uses factorial numbers. This is the formula:  

Substituting the variables for their respective data, we have

Students can elect four at-large senators of 330 ways.

Hope this helps!

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

tangent

step-by-step explanation: