Dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower. The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+36. The height of Antonio's rocket after t seconds can be represented by the linear function: p(t)=-2t+20. What are the two solutions to this system? Show your work. Explain which solution is not reasonable in this situation. After how many seconds do the rocket and the ball reach the same height.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

You can ride your bike around your block 6 times and the whole neighborhood 5 times in 16 minutes. you can ride your bike around your block 3 times and the whole neighborhood 10 times in 23 minutes. how long does it take you to ride around the neighborhood?

Randy and trey take turns cleaning offices on the weekends. it takes randy at most 4 hours to clean the offices. it takes trey at most 6 hours to clean the offices. what is the greatest amount of time it would take them to clean the offices together? 2.4 hours 2.5 hours