Solve the equation x^3-5x^2+2x+8=0 given that -1 is a zero of f(x)=x^3-5x^2+2x+8

Mathematics

1 answer:

liraira [26]3 years ago

3 0

-1^3-5(-1)^2+2(-1)+8
-1-5-2+8
-6-2+8
-8+8=0

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$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
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\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
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with that template in mind, let's see $\bf f(x)=\sqrt{x}\qquad 
\begin{array}{llll}
g(x)=&\sqrt{0.5x}\\
&\quad \uparrow \\
&\quad B
\end{array}$

so B went form 1 on f(x), down to 0.5 or 1/2 on g(x)
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Step-by-step explanation:

steps are in the picture above.

<h3>Note:if you need to ask any question please let me know.</h3>

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Zanzabum

<h2>Answer:</h2>

The percent of employees who work in the night shift are:

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<h2>Step-by-step explanation:</h2>

Total number of employee in the office are: 150

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The percent of the employee who work in the night shift is calculated as follows: