Simplify 2a2b3(4a2 + 3ab2 – ab) = ?
a. 8a4b3 + 6a3b5 + 2a3b4
b. 8a4b3 + 6a3b5 – 2a3b4
c. 8a4b5 + 3a3b5 + 2a3b4
d. 8a4b5 + 3a3b5 – 2a3b4
find the value of x in the equation 2 x + 20 = 15 + 3 x .
a. –5
b. 16
c. 25
d. 1

The data represents the semester exam scores of 8 students in a math course. {51,91,46,30,36,50,73,80} what is the five-number summary?

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?

1- 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.2- 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 the first question?