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3 years ago

What is

c{8m}{n} ^7" align="absmiddle" class="latex-formula"> simplified?

Mathematics

1 answer:

kifflom [539]3 years ago

7 0

$\bf \cfrac{8m^7}{n}\implies 8m^7n^{-1}\implies 2^3m^{3+3+1}n^{-1}\implies 2^3m^3m^3m^1n^{-1}
\\\\\\
2^3(m^2)^3mn^{-1}\implies (2m^2)^3mn^{-1}$

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Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. f(x)=sqrt(x) and g

SpyIntel [72]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

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

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

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)
B = 1/2, thus the graph is stretched by twice as much.

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ivann1987 [24]

Answer: 3f

Step-by-step explanation:

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3 years ago

What does (d+3) represent in 4.5(d+3)=45

Scrat [10]

Answer:

(d + 3) would be 10

Step-by-step explanation:

Step 1: Distribute

$4.5(d + 3) = 45$

$(4.5 * d) + (4.5 * 3) = 45$

$4.5d + 13.5 = 45$

Step 2: Subtract 13.5 from both sides

$4.5d + 13.5 - 13.5 = 45 - 13.5$

$4.5d = 31.5$

Step 3: Divide both sides by 4.5

$\frac{4.5d}{4.5} = \frac{31.5}{4.5}$

$d = 7$

Step 4: Determine what (d+3) is

$(d + 3)$

$(7 + 3)$

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Answer: (d + 3) would be 10

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AURORKA [14]

Answer:

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Step-by-step explanation:

Given that

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Let us re-write the equation of area of circle:

$A=\pi r^2$

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Multiplying and dividing with 2:

$A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}$

Hence, A in terms of C can be represented as:

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