We have the following function:
C (t) = 6t - 180
Clearing t we have:
6t = c + 180
t = c / 6 + 180/6
Rewriting:
t (c) = (c + 180) / 6
Answer:
The inverse function for this case is given by:
t (c) = (c + 180) / 6
option A
0.246 can be written as 246/1000
246/1000 simplifies into 123/500
While your statements are missing, there are a few things we can tell about the graph from the equation:
The vertex is at (3, -1). We know this because the equation is in vertex form,
y=a(x-h)²+k, where (h, k) is the vertex.
The graph opens upward and has a minimum. This is because there is no negative before the squared term.
The y-intercept of the graph is at (0, 8). We know this because if we substitute 0 for x, we have
y=(0-3)²-1 = (-3)²-1 = 9-1 = 8
-6(6)(-3){2(-3)+(2(6)-3(3)}
108{-6+3}
108(-3)
-324
