Answer:
Step-by-step explanation:
m(t)=t³-12t²-144t
Take the derivative of t:
t'=3t²-24t-144
Set it to 0:
3t²-24t-144=0
Solve for t:
t²-8t-48=0
(t-12)(t+4)=0
t=12 or -4
On a graph, you'll find that the maximum value occurs at t=-4 ..............
X +5 = -6x - 16
add 16 to both sides
x+21 = -6x
add 6x to both sides
7x+21=0
factor out the seven
7(x+3)=0
if 7 times (x+3) = 0 then (x+3) must equal zero because 7 times 0 is 0
so x+3=0
subtract three from both sides
x= -3
Using the formula for the circumference of a circle:
2 x 100 x 3.14=628ft
Actually, the answer is 43.25 because 180-93.5 is 96.5 which is both of the other values combined. x by itself is 43.25.