A type of bacterium triples in population every hour. Assuming you start with 120 bacteria, the formula that models the number of bacteria at the beginning of hour n is: a(n) = 120 • 3n – 1 How many bacteria will there be at the beginning of hour 5?

9720 bacteria before Hour 5 begins.

Step-by-step explanation:

What is n by the way?

Hour 0: 120

Hour 1: 360

Hour 2: 1080

Hour 3: 3240

Hour 4: 9720

(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

damm bro the struggle

step-by-step explanation: