Box #1:
Dimensions are x, 3x, and x³.
Base area, A = x*(3x) = 3x².
Volume, V = (3x²)*(x³) = 3x⁵.
The volume is a 5-th order polynomial. It has only one term, which is the leading term.
Box #2:
Dimensions are x, (4x-1), and x³.
Base area, A = x*(4x-1) = 4x² - x.
Volume, V = (4x² - x)*(x³) = 4x⁵ - x⁴.
The volume is a 5-th order polynomial. It has two terms.
It could be written as
V(x) = 4x⁵ - x⁴ + 0x³ + 0x² + 0x¹ + 0x⁰.
Only terms involving x⁵ and x⁴ have non-zero coefficients.
Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.
<u>Given the following data:</u>
<h3>What is an expression?</h3>
An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.
In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:
u(x) = x⁵ – x⁴ + x²
u(x) = x²(x³ – x² + 1)
Rewriting the expressions as a fraction, we have:
Therefore, u(x)/v(x) = -x³ + x² - 1.
Read more on expressions here: brainly.com/question/12189823
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These are chords of a circle, and the equation to solve for any unknowns is to multiply the 2 sections of one chord and set it equal to the mutiplied 2 sections of the other chord. In our case that will look like this: x * 15 = 6 * 5. That's 15x=30. x = 2
( 'x' is not 144 .)
The supplement of an angle is (180 - x) .
The problem says that (2/3) of 'x' is equal to (180 - x) .
180 - x = 2/3 x
Multiply each side by 3 :
( Note: 3 x 180 = 540 .)
540 - 3x = 2x
Add 3x to each side:
540 = 5x
Divide each side by 5 :
<u>x = 108°</u> .
