A boy decides to jump from a high diving board into the middle of a lake. The following expression states his trajectory: f(t)--t2+4+ + 24, where f(t) represents the height in feet and t is seconds.
A. How high was the boy before he dove into the lake?
B. How long did it take the boy to reach his maximum height before falling into the lake?
C. What was the boy's maximum height?

An equation where variables are used to represent known values—function notation true or false

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).