The table shows the relationship between the amounts of ginger ale and fruit juice needed to make punch.

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

4 0

Here is your answer
2 12
3 18
5 30
9 54

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write the fractions which have been graphed on the number line. explnations please. Also question E only thanks

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Below is the graph of f(x)=2In(x). how would you describe the graph of g(x)=4In(x)

Andreyy89

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
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}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\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{ period of }\frac{2\pi }{{{ B}}}
\end{array}$

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

$\bf \begin{array}{llll}
g(x)=&4ln(x)\implies &2(2)ln(x)\\
&\uparrow &\uparrow \\
&A&A
\end{array}$

A is twice as large as in f(x), thus the graph shrinks twice as much in g(x)

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4 years ago

Read 2 more answers

A factory produces 6 motorcycles in 9 hours. Find how many hours it takes to produce 16 motorcycles at this rate

Allushta [10]

Answer: 24 Hours

Step-by-step explanation:

6 Motorcycles = 9 Hours

divide the hours by the motorcycles and you get 1.5, so that is how long it takes for one motorcycle.

Multiply 16 by 1.5 and you get 16 Motorcycles in 24 Hours

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3 years ago

What is the solution set of negative X equals -8

inessss [21]

Answer:

Step-by-step explanation:

the unknown can NEVER be negative

so you wont see an answer like

-b= 7, -a=98; -k= -9

so,

-x= -8 (change their positions so that the unknown, x, is positive)

x=8

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jonny [76]

Answer:

Step-by-step explanation:

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