Inverse variation means
When the value of x increases the value of y decreases.
When the value of x decreases the value of y increases.
So for an inverse variation we have the expression

or

The expression which represents this condition is

Hence option b) or the second option is the right answer.
Answer:
x=67.5
Step-by-step explanation:
A full circle is 360°, and the right angle is 90°. The rest of the angle is 270°, or 4x (from 3x+x).
4x = 270
<u>x=67.5</u>
C.quadratic. Based on the pattern it is quadratic.
Answer:
Option A. 
Step-by-step explanation:
<u><em>The complete question is</em></u>
The function g is given in three equivalent forms.
Which form most quickly reveals the vertex?
A)g(x)= 1/2(x-8)^2-8
B)g(x)= 1/2(x-12)(x-4)
C)g(x)= 1/2x^2-8x+24
we know that
The equation of a quadratic function in vertex form is equal to

where
a is the leading coefficient
(h,k) is the vertex of the function
In this problem, the option A is the equation of the function in vertex form
we have

where the vertex is the point (8,-8)
therefore
Option A