<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%2B%2016x%20%2B%2010%20%3D%200" id="TexFormula1" title=" {x}^{2} + 16x

Westkost [7]

2 years ago

+ 10 = 0" alt=" {x}^{2} + 16x + 10 = 0" align="absmiddle" class="latex-formula">Split the middle term.

Mathematics

1 answer:

Sergio039 [100]2 years ago

4 0

Answer :-0.65 , -15.34

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How does the rate of change vary from point to point?

Tpy6a [65]

$\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill$

$\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}$