A faucet is used to fill an empty rectangular tank. Water flows out of the faucet at a rate of 3 cubic cm per second. After running the faucet for x seconds, the volume of water in the tank is 4 cubic cm more than 2/5 of the capacity of the tank.
a) write an expression to represent the capacity of the tank, y, in cubic cm
b) how many seconds does it take to fill the empty tank to capacity

Which three lengths could be the lengths of the sides of a triangle? 21 cm, 7 cm, 7 cm 9 cm, 15 cm, 22 cm 13 cm, 5 cm, 18 cm 8 cm, 23 cm, 11 cm

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)