Answer:
a(n) = a(1) + 6(n -1)
Step-by-step explanation:
The common difference here is 6. 1 + 6 = 7; 13 + 6 = 19; and so on.
Thus, the function in question is a(n) = a(1) + 6(n -1).
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Answer:
x = 2, and 6
x = 2 , 6
Step-by-step explanation:
The quadratic function to analyze is: 
In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".
The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).
So, there are two x-intercepts: x= 2, and 6
How much pain would you find? hopefully none, since you'd have lots of pens and pencils :).
Answer:
4
Step-by-step explanation:
-6 + x = -2
add 6 to each side
-6 +6 +x = -2 +6
x = 4