Select the sequence that matches the recursive formula. a1 = 39 1n = an-1 -5.

-9,-27,-

,34,29,

-27,84,-

-8.3,-7.4,-6.

Option 2nd is correct

39, 34, 29, 24,....

Step-by-step explanation:

Given the recursive formula:

For n = 2

⇒

⇒

For n= 3:

⇒

⇒

For n = 4:

⇒

⇒ and so on....

We get the sequence:

39, 34, 29, 24,....

Therefore, the sequence that matches the recursive formula is, 39, 34, 29, 24,....

step-by-step explanation:

(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