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3 years ago

I need 22 and 24 ( solve using a graph and tables )

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

Answer:

22. x = 0.228 or 8.772

24. x = -0.869 or 1.535

Step-by-step explanation:

The solutions are all irrational, so it would be tedious arriving at a solution using tables. I prefer a graphing calculator for this.

The first attachment shows the problems with graphs of left-side and right-side expressions. The points of intersection are the solutions.

The second attachment shows the difference of the two sides of the equation. The x-intercepts of that difference are the solutions. The graph also shows the vertex of the quadratic, which lets you write down the exact solution. For y = a(x -h)^2 +k, the solutions are x = h ±√(-k/a) where (h, k) is the vertex and 'a' is the leading coefficient of the quadratic.

22. x = 0.228 or 8.772

graphs in first attachment are red and orange

graph in second attachment is black

x = 4.5 ± √18.25

24. x = -0.869 or 1.535

graphs in first attachment are blue and purple

graph in second attachment is red ('a' = 3)

x = (1 ±√13)/3

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$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
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% right side info
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$\bf \begin{array}{llll}


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-----------------------------\\\\

\begin{array}{llll}
f(\theta)=&\pm 2cos&\left(\frac{1}{2}\theta \right)\\
&\ \uparrow &\ \uparrow \\
&A&B
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