96. a certain diet pill is designed to delay the
administration of the active ingredient for several
hours. the concentration c(t) (in mg/l) of the active
ingredient in the blood stream t hours after taking the
pill is modeled by
27 – 20t + 51
a. use a graphing utility to graph the function.
b. what are the domain restrictions on the function?
c. use the graph to approximate the maximum
concentration. round to the nearest mg/l.
d. what is the limiting concentration?

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:

answer: idk

step-by-step explanation:

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.