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2 years ago

I need help with 6 & 8

Mathematics

1 answer:

zimovet [89]2 years ago

7 0

1. We need to get rid of those pesky parentheses. We do this by distributing the 3.

2. We need to get "n" by itself, so we add 9 to both sides.

3. Add like terms.

4. Now, we need to get rid of the -9, so we divide both sides by -9. Remember that dividing by negative numbers changes the direction of the "greater than or equal to" symbol.

5. We divide, and the negatives cancel.

I wrote the answer both ways so that I could tell what the number line needed to look like.

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\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
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\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
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\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
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so hmm if you notice, your f(x) there, looks just like g(x), but is "shifted horizontally" by about 9 units to the right

that simply means, based on that template above, that C/B = -9, and we can simply make B = 1 and C = -9, and we get C/B = -9/1 which is -9

thus $\bf \begin{array}{llcll}
f(x)=g(&1x&-9)\\
&\uparrow &\uparrow \\
&B&C
\end{array}\iff f(x)=g(x-9)$

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