4. A laser beam travels along a straight path for a certain distance, and then bounces n times off tilted mirrors before striking a target. The laser beam travels v2 additional

centimeters each time it bounces off a mirror. When there are 5 bounces, the laser

beam travels 13v2 cm.

a. Let d (n) denote the distance the laser travels in cm as a function of the number

of bounces off a mirror, n. What does d(5) represent? What is the value of d(5)?

F(x) = (x^2 + 3x − 4) and g (x) = (x+4) find f/g and state the domain.

How do you convert 1.27 to a percentage

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?