Answer:
A.
The y-intercept of m is less than the y-intercept of n.
Step-by-step explanation:
y-intercept of a function:
The y-intercept of a function is the value of y when 
Function n represents a cubic function that passes through the points (-1,0) and (0,2).
When
, and thus, the y-intercept is y = 2.
Function m:
When
, and thus, the y-intercept is y = -6, which is a smaller number than 2, so the y-intercept of m is less than the y-intercept of n, and the correct answer is given by option A.
I think it is 133 students that like Dancing with the stars
Answer:
length of rectangle = 5
width of rectangle = 5
Area of rectangle = 25
Step-by-step explanation:
Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.
Recall that the formula for the x of the vertex of a quadratic of the form :

is given by the formula:

which in our case gives:

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.
The area of the rectangle is therefore the product of these two values: 5 * 5 = 25
Which should coincide with the value we obtain when we replace x by 5 in the area formula:

Answer:
Remember that the maximum rate of change of f at a point u is the length of the of the gradient vector evaluate in u, and the direction in which it occurs is in direction of the gradient vector evaluate in u.
The gradient vector of f is

Then, the maximum rate of change is
in the direction of (5,8).
Answer:
Step-by-step explanation:
At the end of any given business day, CFFC has 400-80t cases of perfume on hand, where t = 1 represents Monday, t = 2 represents Tuesday and so on. The inventory becomes nil on Friday evening. So,
The values of a and b are
a = 0
b = 5
Using the formular for average value, we have the average value as

Average inventory is 200 cases