What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of -12

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?

(hurry! ) which expression is equivalent to the following complex fraction?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)