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3 years ago

Nine more than a number divided by six

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

Answer:

x/6+9

Step-by-step explanation:

you are adding 9 to a number divided by six. you don't know the number so you put x. x divided by 6 can be put as a fraction with x/6 or x over 6. you then have x/6, and you need to add 9. it ends up being x/6 + 9

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Step-by-step explanation:

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3 years ago

What are the period and phase shift for f(x) = 3 tan(4x + π)?

Y_Kistochka [10]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ horizontal or "phase" shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now.. with that template above in mind, let's see yours

$\bf \begin{array}{lllllll}
f(x)=&3tan(&4x+&\pi )\\
f(x)=&3tan(&4x+&1\pi )&+0\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}$

7 0

3 years ago

Raju’s mother is four times as old as Raju. After 5 years , her mother will be three

cluponka [151]

Answer:

Mother: 40 years old

Rakhi: 15 years old

Step-by-step explanation:

Solution :

Let present age of Rakhi = x years

Present age of Mother = 4x

5 years later

Age of Rakhi =x+5

Ag of Mother =4x+5

Given 4x+5=3(x+5)

4x−3x=15−5

⇒x=10

Mother's age =4x=40 years

Plug 10 in for x to find Rakhis age

7 0

3 years ago