*31. Priya and Ravish planned to participate in a cycle race to be organised for National integration. They decided to practise on a circular path around a sports field. Priya takes 18 minutes to complete one round, while Rav-
ish takes 12 minutes for the same. Suppose they both start at the same time and go in the same direction.
(a) After how many minutes will they meet again at the starting point?
(6) What is the value depicted by Priya and Ravish?

36 minutes

2 rounds for Priya

3 rounds for Ravish

Step-by-step explanation:

The answer is the LCM (least common multiple) of 12 and 18.

12 = 2^2 x 3

18 = 3^2 x 2

=>LCM of 12 and 18 = 2^2 x 3^2 = 4 x 9 = 36

=> After 36 minutes they meet again at the starting point

=> At that time, Priya has completed: 36/18 = 2 rounds

=> At that time, Ravish has completed: 36/12 = 3 rounds

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1