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:
The answer to your question is letter D
Step-by-step explanation:
Rational equation

Simplify

Cancel the denominators and expand
3x² + 1 + x² - x = 4x - 4 + 4
Simplify
4x² - x + 1 - 4x = 0
4x² - 5x + 1 = 0
Factor
4x² - 4x - 1x + 1 = 0
4x(x - 1) - 1(x - 1) = 0
(4x - 1)(x - 1) = 0
x₁ = 1/4 x₂ = 1
So,
Simply divide 12 by 18.

The experimental probability of tossing heads was 2 out of 3.