What time is 5 3/4 hours after 11: 32pm?

5:17 a.m.

Step-by-step explanation:

11:32 pm is 28 minutes before midnight. Adding the 534 hours will take the time into early morning. So all we need to do to find the new time (am) is to subtract 28 minutes from 534 hours. So the time is 5:17 a.m.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

sine

step-by-step explanation: