Simplify |-3-8|
O A. -11
O
B. -5
O C. 5
o
D. 11

D. 11

Step-by-step explanation:

The bars around the expression represent absolute value. Absolute value is the distance between a number and zero. Since a distance is always positive the absolute value of a number is that number but positive.

So, to solve this expression, first, subtract 8 from -3, -3-8 equals -11. The absolute value of -11 is 11.

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:

the line of