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zhannawk [14.2K]
3 years ago
10

Can someone help me please

Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer:

the number that is not rational is -3.1311331113...

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\bf \qquad \qquad \qquad \qquad \textit{function transformations}&#10;\\ \quad \\&#10;% function transformations for trigonometric functions&#10;\begin{array}{rllll}&#10;% left side templates&#10;f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}&#10;\\\\&#10;f(x)=&{{  A}}cos({{  B}}x+{{  C}})+{{  D}}\\\\&#10;f(x)=&{{  A}}tan({{  B}}x+{{  C}})+{{  D}}&#10;\end{array}&#10;\\\\&#10;-------------------\\\\

\bf \bullet \textit{ stretches or shrinks}\\&#10;\left. \qquad   \right. \textit{horizontally by amplitude } |{{  A}}|\\\\&#10;\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\&#10;\left. \qquad   \right. \textit{reflection over the x-axis}&#10;\\\\&#10;\bullet \textit{ flips it sideways if }{{  B}}\textit{ is negative}\\&#10;\left. \qquad   \right. \textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\&#10;\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\&#10;\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\&#10;

\bf \bullet \textit{vertical shift by }{{  D}}\\&#10;\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\&#10;\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\&#10;\bullet \textit{function period or frequency}\\&#10;\left. \qquad  \right. \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\&#10;\left. \qquad  \right. \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)

with that template in mind, let's see

\bf \begin{array}{llll}&#10;y=&-4sin(&\frac{2\pi }{3}x)\\&#10;&A&B&#10;\end{array}\qquad period\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{\frac{2\pi }{3}}\implies \cfrac{\frac{2\pi }{1}}{\frac{2\pi }{3}}&#10;\\\\\\&#10;\cfrac{2\pi }{1}\cdot \cfrac{3}{2\pi }\implies 3
8 0
3 years ago
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Elis [28]

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Step-by-step explanation:

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8 0
3 years ago
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stiks02 [169]

Answer: 25d

Step-by-step explanation:

3d - 2 = 1d

5(5) = 25

25(1d) = 25d

5 0
3 years ago
Read 2 more answers
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