The variable q represents a positive integer. Does 3(59 + 9) + 5q represent a number that is greater than, less than, or equal t
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Answer:
A
Step-by-step explanation:
An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.
For expression A
The denominator will be zero when x² - 4 = 0
x² - 4 is a difference of squares, thus
(x - 2)(x + 2) = 0
x - 2 = 0 ⇒ x = 2
x + 2 = 0 ⇒ x = - 2
The excluded values of x are x = ± 2 ⇒ A
Easy example that shows 
:
Let
.
Then
.
So
, or 
, and so 
.
The basic idea is to find the period of the repeating decimal, move the
digits belonging to one period over to the left of the decimal point by multiplying by 
, then subtract the original repeating decimal from this new number, and finally divide by 
.
A slightly more complicated example:
Let
.
Then
.
Then
, or
Let
Then
So
The basic idea is to find the period of the repeating decimal, move the
A slightly more complicated example:
Let
Then
Then