The equation \(\dfrac{24x^2+25x-47}{ax-2}\) = -8x - 3 - \(\dfrac{53}{ax-2}\) is true for all values of x \(\ne\dfrac{2}{a}\), where a is a constant. What is the value of a?

A) -16

B) -3

C) 3

D) 16

C = \(\dfrac{5}{9}\)(F - 32)

The equation above shows how a temperature F, measured in degrees Fahrenheit, relates to a temperature C, measure in degrees Celsius. Based on the equation, which of the following must be true?

I. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of  \(\dfrac{5}{9}\) degree Celsius.

II. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

III. A temperature increase of  \(\dfrac{5}{9}\) degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only

B) II only

C) III only

D) I and II only