Starting at 6am a bus makes a stop on 1st ave every 8 mins another bus that also starts at 6am makes a stop on 1st ave every 12 mins how many times in a hour will the two buses make a stop at the same time at what time will the two buses make a stop at the same

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  2.5 times per hour, on average

  {0:00, 0:24, 0:48, 1:12, 1:36} then repeating at 2:00

Step-by-step explanation:

The least common multiple of the intervals is ...

  LCM(8, 12) = 8·12/GCD(8, 12) = 8·12/4 = 24

The two buses will stop at the same time every 24 minutes. That is 60/24 = 2.5 times per hour.

Starting with the 6:00 am stop, the next joint stop is at 6:24, then 6:48. In the next hour, the stops are at 7:12 and 7:36. This sequence of times repeats, starting at 8:00 am. That is, the cycle repeats every 2 hours.

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step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.