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vagabundo [1.1K]
4 years ago
9

Choose the correct classification of 5x + 3x2 − 7x3 + 2. (5 points)

Mathematics
2 answers:
vladimir1956 [14]4 years ago
5 0
3rd degree polynomial. since the highest *exponent* is 3.
SVEN [57.7K]4 years ago
5 0

The degree of a polynomial is the highest degree of its terms with non-zero coefficients. The degree of a term is the sum of the exponents of the variables in the expression.

The given expression is :

5x+3x^{2} -7x^{3} +2

This can be be rearranged in descending order as:

-7x^{3} +3x^{2} +5x+2

Here the highest power of the variable of the terms is 3 which denotes the degree of the polynomial .

The given expression is Third degree polynomial.

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Write an equation of a line that is perpendicular to the line y=2/3x and passes through origin
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keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?

\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}

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\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{0})\implies y=-\cfrac{3}{2}x

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PLEASE!! I REALLY NEED HELP WITH THIS!!!
ioda
Do you have an example of what the "Constant of proportionality" would be for a different question?
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