The graph below shows the distance (y) between hannah and her home, in km, after a certain time (x), in hours: which of the following statements best describes hannah's distance from her home? it is decreasing in the interval 2 < x < 4 hours. it is increasing in the interval 2 < x < 3 hours. it is decreasing in the interval 2 < x < 3 hours. it is increasing in the interval 2 < x < 4 hours.

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)