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3 years ago

What is the slope of the line that passes through (-3,-2) and (3,-1) Give your answer as a fraction

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

Using slope formula, the slope will be 1/6

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Simplify the expression below and write it as a single logarithm:

OLEGan [10]

The simplification of 3log(x + 4) – 2log(x – 7) + 5log(x - 2) - log(x^2) is $\log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

<u>Solution:</u>

Given, expression is $3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)$

We have to write in as single logarithm by simplifying it.

Now, take the given expression.

$\rightarrow 3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)$

Rearranging the terms we get,

$\left.\rightarrow 3 \log (x+4)+5 \log (x-2)-2 \log (x-7)+\log \left(x^{2}\right)\right)$

$\text { since a } \times \log b=\log \left(b^{a}\right)$

$\rightarrow \log (x+4)^{3}+\log (x-2)^{5}-\left(\log (x-7)^{2}+\log \left(x^{2}\right)\right)$

$\text { We know that } \log a \times \log b=\log a b$

$\rightarrow \log \left((x+4)^{3} \times(x-2)^{5}\right)-\left(\log \left((x-7)^{2} \times\left(x^{2}\right)\right)\right.$

$\text { We know that } \log a-\log b=\log \frac{a}{b}$

$\rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

Hence, the simplified form $\rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

4 0

3 years ago

Read 2 more answers

Regina owns a book store. She sold 87, 94, 91, and 84 books on the first 4 days of this week. Regina wants to have a mean of 90

andre [41]

Answer:

If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.

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3 years ago

Exposed clout chaser

Darya [45]

Answer:

*rolls eyes* I didn't think this would be the community where moderators are missed. Oh well, she clearly doesn't need help with differential calculus or Python so I wish her best.

Step-by-step explanation:

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3 years ago

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What decimal represents 6×1,000+2×10+3×1/10+5×1/1,000

Lyrx [107]

Answer:

loln

Step-by-step explanation:

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3 years ago

What division problem can be represented using the number line?

inna [77]

A. (10/3) / (5/3)
I got it right :)

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3 years ago