2 years ago

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Mathematics

1 answer:

AleksAgata [21]2 years ago

3 0

Answer:

Step-by-step explanation:

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Simplify 12/5(10/3b+15/4) .

Elodia [21]

Step 1. Simplify 10/3b to 10b/3
12/5(10b/3 + 15/4)
Step 2. Distribute
8b + 9

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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
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S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
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-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
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2 years ago

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Anastasy [175]

Answer:

Step-by-step explanation:

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What expression can be used for estimating 868 divided by 28

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868 is about 870, and 28 is about 30, so your expression would be 870 divided by 30 which would be 29 and the actual answer is 31, so your estimate would be close to your actual answer.

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