What are the solutions of 4x^2 -8x+5=0

Which expression calculates the speed in meters per second of an object that travels a distance of 100 m every 20 seconds

Express the following as a function of a single angle, cos(60) cos(-20) - sin(60) sin(-20)

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?