Tex's Taco Truck serves tacos on either hard or soft shells. Yesterday, Tex's Taco Truck sold 5 hard-shell tacos for every 2 soft-shell tacos. Pick the diagram that models the ratio in the story. If Tex's Taco Truck sold 39 more hard-shell tacos than soft-shell tacos yesterday, how many hard-shell tacos did it sell?

Recall the definition of a polynomial expression. find two polynomial expressions whose quotient, when simplified,is. use that division problem to determine whether polynomials are closed under division. then describe how theother three operations-addition, subtraction, and multiplication-are different from division of polynomials.

Find the smallest number by which the given number should be divided to make a perfect cube(with steps or the answer will get reported) a.108 b.2187

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)