Aball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
is the ball at its maximum height after 1 second? in two or more complete sentences, explain how you know whether or not the ball is at its maximum height.

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)

Two years ago a man was six times as old as his daughter. in 18 years he will be twice as old as his daughter. determine their present ages.