The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:
The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.
Answer:
27 hours
Step-by-step explanation:
Equation of population P(t) = –1710t^2+ 92,000t + 10,000
Find the derivative of the function to find the critical value
dP/dt = -2(1710)t + 92000
= -3420t + 92000
Find the critical value by equating dP/dt = 0
-3420t + 92000 = 0
92000 = 3420t
t = 92000/3420 = 26.90
Check if it really have max value through 2nd derivative
d(dP)/dt^2 = -3420
2nd derivative is negative, hence it has maximum value
So, the time when it is maximum is 26.9 or 27 hours
Step-by-step explanation:
10 gallons of gas is $29.50
10 gallons of gas = $29.50
10 gallons of gas / 10 = $29.50 / 10
1 gallon of gas = $2.95
Per x gallons of gas,
1 gallon of gas * x = $2.95 * x
x gallons of gas = $2.95 * x
Answer:
√
15 +
√
10
Step-by-step explanation:
The answer is above
Answer:
X= (7;-2)
Step-by-step explanation:
X2+5X-14
(X-7)(X+2)
X= 7;-2
The 4 is the constant term.
