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2 years ago

Write a conjecture that describes the pattern in each sequence. Then use your conjecture to find the next item in the sequence.

Mathematics

1 answer:

Mrrafil [7]2 years ago

8 0

Answer:

The next 2 items would be -80 and 160

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Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set o

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Step-by-step explanation:

10(10m+6)<=12

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2 years ago

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A. 16°

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2 years ago

Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your

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We have the equation:

$y=a\cdot b^x$

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

$\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}$

Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as:

$y=3\cdot(\frac{6}{5})^x$

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8 months ago