The equation y=4x+4 estimates the number of u. s. households, in millions, expected to install devices that receive and manage broadband tv and internet content to the home, where x is the number of years after 2005. for what years will there be at least 40 million homes with these devices? write your answer as an inequality involving x.

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)