Carlos owns a rare stamp collection. there are 45 rare stamps in his collection. he wants to divide the stamps among his three children. he requested that the oldest child receives 4/5 of the collection, the middle child receives 1/10 of the collection and the youngest child receives 1/15 of the collection. his children met and tried to figure out how to distribute the stamps according to their father’s specification.

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2

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)