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3 years ago

15

This is the rest of those 2 step equations with fractions teacher didnt help and taking a test over this tomorrow. Please help a

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NNADVOKAT [17]3 years ago

3 0

The answers to the questions

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F(x+k) what is the value of k

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Answer:

k = -3

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3 years ago

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Simplify the radical expression.

Ber [7]

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3 years ago

A boat travels 432km in 24 hours how far can it travel in 16 hours?

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3 years ago

What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?

Akimi4 [234]

$\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
a_4&-4096rrr\\
&-4096r^3\\
&64
\end{array}\implies -4096r^3=64
\\\\\\
r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}}
\\\\\\
r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\
-------------------------------$

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-\frac{1}{4}\\
a_1=-4096\\
n=6
\end{cases}
\\\\\\
a_6=-4096\left( -\frac{1}{4} \right)^{6-1}\implies a_6=-4^6\left( -\frac{1}{4} \right)^5$

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Divide.<br> Enter your answer by<br> filling in the boxes.<br> 463 = 8=<br> R

Tamiku [17]

The answer would be 57 with a remainder of 7.

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2 years ago