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.
Answer: The number is 40
Step-by-step explanation:
We will set up an equation where 4/5 is being multiply by the number to get 32. we will represent that number by x
4/5 * x = 32 solve for x
4/5x = 32
0.8x = 32
x = 40
Answer:
x = 18
Step-by-step explanation:
Given
+ 1 = 
+ 7 ( subtract 1 from both sides )
= + 6
Multiply through by 15 to clear the fractions
9x = 4x + 90 ( subtract 4x from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Answer:
Circumference = 42
Area = 147 to the power of 2
Step-by-step explanation:
7x2=14 diameter
3x14=42 circumference
Area = 7x7x3 =147 to the power of 2
