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:
e = - 43/5
Step-by-step explanation:
5e = -51+8
5e = -43 Divide both sides
Well you would do 0.8^2 and then times that by 32,000
Which would equal 20480
The value is what the Y axis is when X is 8.
Draw a vertical line down from X=8 and see where the line crosses on the Y axis.
See the attached picture. The answer is Y = -4
Answer:
Cubic trinomial
Step-by-step explanation:
The degree of a term is the sum of the exponents of its variables
- Quadratic: a polynomial of degree two
- Cubic: a polynomial of degree three
Therefore, -5x³ - 4x + 1 is a cubic (since the sum of the exponents is 3)
- monomial: a polynomial with exactly one term
- binomial: a polynomial with exactly two terms
- trinomial: a polynomial with exactly three terms
Therefore, -5x³ - 4x + 1 is a trinomial (as it has exactly 3 terms)