The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0.
<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>
The area of a rectangle (<em>A</em>), in square inches, is equal to the product of its width (<em>w</em>), in inches, and its height (<em>h</em>), in inches. According to the figure, we have two <em>proportional</em> rectangles and we need to derive an expression that describes the value of the <em>unshaded</em> area.
If we know that <em>A =</em> 648 in², <em>w =</em> 22 - x and <em>h =</em> 40 - x, then the expression is derived below:
<em>A = w · h</em>
(22 - x) · (40 - x) = 648
40 · (22 - x) - x · (22 - x) = 648
880 - 40 · x - 22 · x + x² = 648
x² - 62 · x + 232 = 0
The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0. 
To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910
Answer:
Between 5 and 6
Step-by-step explanation:
So first divide 16/3 to get 5.333333333333
5.333333333333 is between 5 and 6!
Hope this helps! Have a nice day! :)
The interior angles of a shape are the angles inside the shape. The exterior angles are the angles formed between a side-length and an extension. Rule: Interior and exterior angles add up to 180 ° 180\degree 180°.
19) 3/8
24 - 15 = 9
9/24 = 3/8
20) 3/28
8 total people running. We want to know the probability that both the president and vice-president are girls, so we have to assume that the president is a girl first.
3/8 x 2/7 = 6/56 = 3/28
21) Travis should play the game where he has to pick either an A or B out of a hat which contains letters A, B, C, D, and E. The probability of him drawing an A or B and winning is 2/5, or 0.4. If he plays the other game, then the probability of him winning is only 1/3, or 0.33.
Probability of rolling a 2 or 3 on a die = 2/6 = 1/3 (0.33)
Probability of picking an A or B = 2/5 (0.4)
Yes, it is. To find this out, you need to make the denominators the same. They can both multiply into 15, so we change the denominators to 15. Whatever we do to the bottom, we also have to do to the top.
2/3 = 10/15
1/5 = 3/15
We can then see that 10 is more than 3 :)
