A jar contains 8 red marbles numbered 1 to 8 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event. (a) The marble is red Your answer is : (b) The marble is odd-numbered Your answer is : (c) The marble is red or odd-numbered Your answer is : (d) The marble is blue and even-numbered Your answer is :

Question: what is the value of x 4x-2= (-7) +5x. it would be greatly appreciated if someone could actually explain to me step by step

Find the equation using the point (4,8)

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?