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Olenka [21]
3 years ago
13

Find the common ratio of the geometric sequence 1.5, 4.5, 13.5, 40.5, …

Mathematics
1 answer:
Viktor [21]3 years ago
6 0

Answer:

The common ratio is 3.

Step-by-step explanation:

Take 4.5 and divide it by 1.5 and you find that the common ratio is 3. To ensure this is the answer you can multiple 4.5 by 3 and you'll get 13.5

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The table shows Reese's earnings from selling birdhouses. Which statements are correct for this situation?
geniusboy [140]

Answer:

Walter builds birdhouses. he spends $5 on the materials for each birdhouse. he can build one in 30 minutes. he is semi-retired but earns $8 per hour at the local hardware store. he can sell a birdhouse for $20 each. refer to scenario 13-11. the explicit cost for one birdhouse is

Step-by-step explanation:

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3 years ago
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Which is a simplified form of the expression -6a + 2(2a + 2)?
abruzzese [7]
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Find dy/dx using first principle<br>x+1/x​
JulsSmile [24]

Answer:

The derivative of the function is:

f'(x)=1-\frac{1}{x^{2}}

Step-by-step explanation:

The first principle is given by:

f'(x)=\frac{dy}{dx}=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}

The function here is:

f(x)=x+\frac{1}{x}

Now, using the first principle we have:

f'(x)=lim_{h\rightarrow 0}\frac{(x+h)+\frac{1}{(x+h)}-x-\frac{1}{x}}{h}  

=lim_{h\rightarrow 0}\frac{h+\frac{1}{(x+h)}-\frac{1}{x}}{h}    

=lim_{h\rightarrow 0}\frac{h-\frac{h}{x(x+h)}}{h}    

=lim_{h\rightarrow 0}\frac{h(1-\frac{1}{x(x+h)})}{h}

=lim_{h\rightarrow 0}1-\frac{1}{x(x+h)}

=1-\frac{1}{x^{2}}

 

Therefore, the derivative of the function is:

f'(x)=1-\frac{1}{x^{2}}

I hope it helps you!  

 

6 0
3 years ago
Can someone plz help me with number 2
Andrew [12]
J $4,000 would be the best answer.
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C , because it’s going down, or decreasing , it will be a negative .
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