Evaluate each expression for x = 4 and give answers in simplest form. show your work

a)    

b)    

Step-by-step explanation:

The value given for x is 4

1) The given expression is :  

By solving the negative exponent, we get

Here, substitute x =4,

or,  

2) The given expression is :  

By solving the negative exponent, we get

Here, substitute x =4,

or,    

10 * 563.67 = 5636.7

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: