1. A particle is traveling along the x-axis and its position from the origin can be modeled by x(t)=t^3 - 2t^2+ 4t where x is centimeters and t is seconds.

a. On the interval 0< t <4, find when the particle is farthest to the right.

b. On the same interval, what is the maximum speed?

State one method by which you can recognize a perfect square trinomial.

Jessica is organizing a guided tour of the rain forest. the average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. what does the numerator of this rational expression represents?

Ican interpret and represent the remainder in division calculations sensibly for the context (eg 27.4 in calculating average height in cm: $27.44 if it represents an amount of money) solve the following problems. 15) the wildlife park charges $25.50 dollars per person to enter their park if the park made $15096 dollars today, how many people entered the park? 16) ms adams plus 2,230 other keen runners ran a marathon: between them they ran 94817.5km. how many km did each competitor run?