Solve the Absolute Value equation.
12x - 3|= 9
o{-3, -6)
o (3,6)
o 13, -6)
o(-3,6)
What’s the answer

  {-3, 6}

Step-by-step explanation:

|2x -3| = 9 resolves into two equations:

  2x -3 = -9   ⇒   x = (3 -9)/2 = -3

  2x -3 = 9    ⇒   x = (3 +9)/2 = 6

The solutions are ...

  x = {-3, 6}

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:

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.