Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
4 quarts per gallon
<span>10 gallons: 4x10 = 40 quarts. </span>
<span>Add the 11 quarts to get 51 quarts. </span>
<span>51 divided by 3 = 17 quarts, or 4 gallons + 1 quart.</span>
Answer:multiple of 3
Step-by-step explanation:
12 is a multiple of 3 so 3 is the Awnser
In calculating
the average score, add the scores of each person and then divide it by the
number of scores present. In this problem, Tony has forty seven points for five
different quizzes. You are required to calculate for the average score of Tony.
The formula is A = T/n, where A is the average score, T is the score, and n is
the number of quizzes.
A = T/n
A = 47/5
<u>A = 9.4</u>
<span>
Therefore, Tony has an average of 9.4 points in five different
quizzes. </span>
