Answer:
The number of elephant ears that must be sold to maximize profit is 400.
Step-by-step explanation:
Given that,
The profit that a vendor makes per day is given by
P(x)= - 0.004x² +3.2 x -200
where x is number of elephant ears.
P(x)= - 0.004x² +3.2 x -200
Differentiating with respect to x
P'(x)= - 0.008x+3.2
Again differentiating with respect to x
P''(x) = -0.008
For maximum or minimum P'(x)=0
- 0.008x+3.2=0
⇒0.008x=3.2

⇒ x = 400

Since at x=400, P''(x)<0, the profit is maximize.
P(400) = -0.004×400²+3.2×400-200
=440
The number of elephant ears that must be sold to maximize profit is 400.
Answer:
Mean=8.8, Median=8
Step-by-step explanation:
How to find the mean:
First, add all the #'s up. 4+9+12+14+7+7=53
Then divide that by the number or numbers. In this case it is 6.
53/6=8.833... So rounded=8.8
Median:
List numbers lowest to highest
4, 7, 7, 9, 12, 14
Go to the middle number.
Since it is between 7 and 9, it is 7+9=16. 16/2=8
8 is the median
Answer:
Part a)
Steve's expression is
For x=3, the expression is equal to 
Part b)
Jasmine's expression is

For x=2, the expression is equal to 
Step-by-step explanation:
Part a)
Let
n-----> the first term
The expression is


substitute
Steve's expression is

Evaluate for x=3

Part b)
Let
n-----> the first term
Jasmine's expression is

Evaluate for x=2

Answer: -39.2
Step-by-step explanation:
The rate of change is the same as the slope.
Let's find the slope of function 1 using the Rise Over Run rule.
The rise is 2 and run is 1. So your rate of change is 2/1 or 2 for function 1
Function 2 is a y = mx + b equation, the slope is usually "m" or before the x
y = 1/2x + 7
1/2 is your rate of change for function 2