For the function y= -1+6 cos ( 2π/7(x-5) ), what is the maximum value

5

Step-by-step explanation:

I'm assuming you want to find the maximum value of y

recall that for any cosine function y = A cos (  g(x) ), where g(x) is any arbitrary function, that A represents the amplitude of the cosine function.

By definition, the amplitude is the maximum the value which the cosine term can take.

hence for your expression:

y= -1 + 6 cos ( 2π/7(x-5) )

max value of y = -1 + (max value of cosine function)

max value of y = -1 + (amplitude of cosine function)

max value of y = -1 + 6 = 5

All you have to do is take 94,172 minus 1,000 and that will give you 93,172. So in word form you need to write something like “Ninety three thousand one hundred seventy-two.” I hope this is write and I hope this helps! Thank you!