What are the first five terms of the sequence an= n +8?

9, 10, 11, 12, and 13

Step-by-step explanation:

The first term is determined when n=1, therefore a(1)=1+8=9

The second term is determined when n=2, therefore a(2)=2+8=10

The third term is determined when n=3, therefore a(3)=3+8=11

The fourth term is determined when n=4, therefore a(4)=4+8=12

The fifth term is determined when n=5, therefore a(5)=5+8=13

(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

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: