From the recursive rule, you can tell the initial value is 3 and the common ratio is 12. The explicit rule is always
.. (n-th term) = (initial value)*(common ratio)^(n -1)
Subsituting the values you know, you have
.. an = 3*12^(n-1)
Answer:
R: (16, 2)
Step-by-step explanation:
Let (x, y) be the point R
(x - 10)/2 = 3 and (y + 12)/2 = 7
x - 10 = 6 y + 12 = 14
x = 16 y = 2
R: (16, 2)
The dashed line is because the sign is greater than to be a solid line it has to be equal to or greater than and to the shading means any point on there works for the equation easiest way to test where you should shade is by plugging into the equation the point (0,0)
Substituting x = 3 into the first expression:
-4(3) - 8 = -12 - 8 = -20
Substituting x = 3 into the second expression:
-2(3 + 1) - 2(3 + 3) = -2(4) - 2(6) = -8 - 12 = -20