What is the product in simplest form?
1 answer:
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we have to first convert fraction of hours into minutes
1 hour is equivalent to 60 minutes
then 3/4 hour is - 3/4 of 60
when the of function is used we have to multiply the 2 numbers
then
3/4 of an hour is equivalent to 45 minutes
then we have to add 5 hours and 45 minutes to 11.32 pm
add 5.45 to 11.32
11.32
5.45 +
-------
16.77
then its 16 hours and 77 minutes
an hour has only 60 minutes so we subtract 60 minutes from 77 minutes and add that hour to 16 hours
16 hours + 1 = 17 hours
77 minutes - 60 minutes = 17 minutes
17 hours 17 minutes
time is given in pm therefore its a 12 hour clock
so we have to subtract 12 hours from 17 hours 17 minutes
17.17 hours - 12 hours = 5.17
the new time is 5.17 am of the next day
ANSWER
To graph the function
follow the steps below.
1. Find y- intercept by plugging in
.
is on the interval, 
, so we substitute in to
Hence the y-intercept is
2. Find x-intercept by setting
This implies that
on
or
on 
We now solve for
on each interval,
on
or
on
But observe that
does not belong to
This means it can never be an intercept for this piece-wise function.
Hence our x-intercept is
3. Plotting the boundaries of the interval.
For on
.
This point coincides with the x-intercept.
So we have the point
. But note that 
does not belong to this interval so we plot this point as a hole.
For
on
So we plot
So we plot
also as a hole.
Plotting all these points we can now graph the function,
See attachment for graph.
To graph the function
follow the steps below.
1. Find y- intercept by plugging in
Hence the y-intercept is
2. Find x-intercept by setting
This implies that
or
We now solve for
or
But observe that
This means it can never be an intercept for this piece-wise function.
Hence our x-intercept is
3. Plotting the boundaries of the interval.
For
This point
So we have the point
For
So we plot
So we plot
Plotting all these points we can now graph the function,
See attachment for graph.