SOLUTION: Find the maximum or minimum value of the function f(t)= 10t^2 + 40t + 113 t = -40/(2*10) = -40/20 = -2 minimum 10(t^2 + 4t) + 113 10(t^2 + 4t +4) + 113 - 40 10(t + 2)^2

Algebra ->  Functions -> SOLUTION: Find the maximum or minimum value of the function f(t)= 10t^2 + 40t + 113 t = -40/(2*10) = -40/20 = -2 minimum 10(t^2 + 4t) + 113 10(t^2 + 4t +4) + 113 - 40 10(t + 2)^2       Log On


   



Question 45203This question is from textbook College Algebra
: Find the maximum or minimum value of the function
f(t)= 10t^2 + 40t + 113
t = -40/(2*10) = -40/20 = -2 minimum
10(t^2 + 4t) + 113
10(t^2 + 4t +4) + 113 - 40
10(t + 2)^2 + 73
y = 73
Thank you very much again!
This question is from textbook College Algebra

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This is correct, except that as long as you found the max/min at t=-b%2F%282a%29=+-2, you could have found the minimum value by just substituting this value of t into the original equation:

Minimum value = f%28-2%29+=+10%28-2%29%5E2%2B40%2A%28-2%29+%2B113

R^2 at SCC