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Nikitich [7]
4 years ago
11

Explain how the graph of y=-3tan(1/2x) is related to the graph of the basic trigonometric function y =tan x

Mathematics
1 answer:
Colt1911 [192]4 years ago
6 0
The shapes of the 2 graphs are the same.  However, because x has a fractional coefficient between 0 and 1, the period of the graphed function is twice as long (that is, 2pi instead of pi), and the graph has been reflected about the x-axis and then stretched vertically by a factor of 3.

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Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below
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Answer:

Mean= 242.5 pounds

Median= 236 pounds

Mode= 208 and 278 pounds

Range=117 pounds

Mid-range= 58.5 pounds

B. The results are likely to be representative because a championship team is most likely representative of the entire league.

Step-by-step explanation:

278 303 186 292  276 205 208 236 278 198 208

Arranged in ascending order is

186 198 205 208 208 236 276 278 278 292 303

Mean = (186 +198+ 205+ 208 +208 +236 + 276+ 278 +278+ 292 +303)/11

Mean =2668/11

Mean= 242.5 pounds

Median = the middle number

Median= 236 pounds

Mode = highest occuring number(s)

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Range= highest number- smallest number

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Range=117 pounds

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Mid-range= 117/2

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joja [24]

Answer:

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Step-by-step explanation:

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Explain why x=-8 is not part of the domain of the function y=log2(x)
Masteriza [31]

Answer:

See Below.

Step-by-step explanation:

By the definition of the logarithm, if we have:

y=\log_{2}x

This means that we have some value <em>y</em> such that:

\displaystyle 2^y=x

If <em>x</em> is -8, then:

2^y=-8

As you can see,<em> </em>there is no real value* that can make the result negative. No matter what the value of <em>y</em> is, we will simply get another positive value.

So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.

*There is no <em>real</em> value for which 2 raised to <em>y</em> is -8. However, as you will learn much much later, there are in fact <em>infinitely</em> many <em>complex </em>(imaginary) solutions such that 2 raised to <em>y </em>is indeed -8.

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Sauron [17]

Answer:

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Step-by-step explanation:

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