Suppose Q is the midpoint of PR. PQ = x + 1- and QR = 4x – 2. What is the value of PR?

Bob’s bank charges him a $3.15 service fee every time he uses an out-of-network atm. if bob uses an out-of-network atm an average of three times every two weeks, how much will he pay in service fees over the course of a year? a. $327.60 b. $109.20 c. $491.40 d. $245.70 select the best answer from the choices provided a b c d

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?

How can constraints be used to model a real-world situation?