Three motorcyclists ride around a circular course starting at the same place and the same time. The first passes the starting point every 36 min, the second every 27 min, and the third every 24 min. After how many minutes will all three pass the starting point again at the same time? Explain your reasoning. (Simplify your answer.) minutes A. All three pass the starting point at the same time again after 36.27. 24 = minutes B. All three pass the starting point at the same time again after GCD(36,27,24)= minutes. C. All three pass the starting point at the same time again after LCM(36,27,24) = x​

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?