The options for each paragraph are listed below:
First paragraph
- 50
- 1000
- 0
- 1000
Second paragraph
- 0
- maximum
- 18.49
- 8.60
- 17.2
How to fill the blanks in paragraphs on applications of second order polynomials
In this question we are supposed to understand and apply concepts related to second order polynomials to fill the blanks when required in the following two paragraphs.
First paragraph talks about second order polynomials applied to economics and the second paragraph talks about second order polynomials applied to kinematics.
First paragraph
The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x = 0 and x = 100. The vertex is (50, 1000).
The maximum profit of $ 50 is reached when 1000 items are produced.
The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 1000 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50)
Second paragraph
The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x) = -0.25 · x² + 4.3 · x, where x is the number of feet away from the golf club (along the ground) the ball is.
The ball starts 0 feet above the ground.
The ball reaches a maximum height of 18.49 feet at a horizontal distance of 8.60 feet away from the golf club its was hit with.
The ball returns to the ground at about 17.2 feet away.
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910
