Answer:
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
Step-by-step explanation:
The correct statement is described below:
Find the absolute maximum and minimum values of the function below:
, 
Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.
First, we obtain the first derivative of the function and equalize it to zero:
(Eq. 1)
As we can see, only a solution is a valid critical value. That is: 
Second, we determine the second derivative formula and evaluate it at the only critical point:
(Eq. 2)
x = 6
(Absolute minimum)
Third, we evaluate the function at each extreme of the given interval and the critical point as well:
x = 2
x = 6
x = 12
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
We will make a proportion:
67 : 33 = 100 : x
67 x = 33*100
67 x= 3300
x= 3300/97= 49.2537
Round to the nearest tenth:
Answer: 49.3%.
Answer:
2, -10, 50, -250, 1250, -6250
Step-by-step explanation:
its times -5 every time
Answer:
300 units^3 or 96π
Step-by-step explanation:
Volume of the cone would be:
Because the formula of finding the volume of cone is
V = πr^2 * h/3
r is the radius of the base
h is the height of the cone
π is Pi, approximately 3.142 and it is the circumference of any circle divided by its diameter
V is volume
So in this case:
V = πr^2 * h/3
V = π * 6^2 * 8/3
V = π * 36 * 8/3
V = 96π or 301.44 and round it up to 300 units^3
Hope this help :3
The given equation is 
By solving the given equation, we get
While solving the equation,we get 0=0.
Therefore, the given equation is true for all the values of y.
Hence, we can say that the given equation has infinite number of solutions.
