math
posted by sam .
Could someone help explain what I am to do?
The amount of background
noise is important to television news reporters.
One station developed the formula n= t^2 + 12t +54
showing the noise level in decibels (N) as it relates to the
time after the speaker stops talking in seconds (t). How
many seconds after the speaker stops will the noise level
be the greatest?
I believe that I would need to figure out the vertex of the numbers but I am confused as how I would do that. Is their a formula?

Are you doing precalculus or calculus?
In calculus, the maximum is obtained by setting
f'(t)=derivative with respect to t = 0
and solving for t.
In precalculus, you can transform the expression by completing the squares.
Ax² + Bx + C
=A(x²+ (B/A)x + C/A)
=A((x + (B/2A))² + C/A (B/2A)²)
From which the maximum is located at
x+(B/2A) = 0, or
x= B/(2A)
You can substitute the given function to find the maximum.
Respond to this Question
Similar Questions

statistics
Hearing levels or cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. Noise level is described as Low=under 88 decibels, Medium=8891 decibels, High=92^decibels. At a = .05, … 
ALGEBRA
THE POLITICAL NOISE PROBLEM: The amount of background noise is important to television news reporters. One station developed the formula N= t2 + 12t + 54 showing the noise level in decibels (n) as it relates to the time after the … 
Algebra
The Political Noise Problem. The amount of background noise is important to television news reporters. One station developed the formula N = t2 + 10t + 56 showing the noise level in decibels (N) as it relates to the time after the … 
Math
The Political Noise Problem. The amount of background noise is important to television news reporters. One station developed the formula showing the noise level in decibels (N) as it relates to the time after the speaker stops talking … 
math 157
The Political Noise Problem. The amount of background noise is important to television news reporters. One station developed the formula showing the noise level in decibels (N) as it relates to the time after the speaker stops talking … 
algebra
The Political Noise Problem. The amount of background noise is important to television news reporters. One station developed the formula N = r^ + 12t + 54 showing the noise level in decibels (N) as it relates to the time after the … 
Algebra
The Political Noise Problem. The amount of background noise is important to television news reporters. One station developed the formula N=t^2+12t+54 showing the noise level in decibels (N) as it relates to the time after the speaker … 
math
Could someone please help me with this problem I don't know how to solve it and I am terrible at word problems. The amount of background noise is important to television news reporters. One station developed the formula N = t^2 + … 
Algebra
We are studying linear and quadratic functions and the problem is stated as: "The Political Noise Problem. The amount of background noise is important to television news reporters. One station developed the formula N=t^2+12t+54 showing … 
Math
The amount of background noise is important to television news reporters. One station developed the formula N = r^2 + 12t + 54 showing the noise level in decibels (N) as it relates to the time after the speaker stops talking in seconds …