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MArishka [77]
3 years ago
11

Which trigonometric functions do not have real zeros?

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0
<span>cosecant, secant, and cotangent do not have real zeros.</span>
harina [27]3 years ago
7 0

Answer:

secant and cosecant have no zeroes.

Step-by-step explanation:

We have in total 6 trignometric functions as

sine, cosine, tangent, cosecant, secant, or cotangent.

Of these we have

sin is 0 for all multiples of pi

cosec = 1/sin  cannot be zero since sine value is always finite lies between -1 and 1.

Similarly sec = 1/cos  cannot be zero since cosine value is always finite lies between -1 and 1.

cotangent can be 0 for odd multiples of pi/2

Hence answer is only

secant and cosecant

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Answer to the 1st question: 8 years

Answer to the 2nd question: The year 2022

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Further explanation:

x = number of years after 2008

y = average price of a new car

The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.

The y intercept is b = 30100 as this is the price in 2008.

This leads us to go from y = mx+b to y = 1250x+30100

Plug in x = 0 and you should get y = 30100.

Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.

-----------------

Next, we plug in y = 47600 and solve for x.

y = 1250x+30100

47600 = 1250x+30100

47600-30100 = 1250x

17500 = 1250x

1250x = 17500

x = 17500/1250

x = 14

This means 14 years after the year 2008 is when the average new car price will be $47,600.

2008+14 = 2022

2022-2014 = 8

Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.

6 0
2 years ago
WILL MARK BRAINLIEST
Naddika [18.5K]

Answer:

B

Step-by-step explanation:

It's easier to explain why the other 3 are wrong.

A is wrong because it is just a standard arithmetic sequence. It adds one every time. That WOULD be correct if it had started at 2, seeing as that is how much it costs to get the bike initially.

C is wrong because although it starts at 2 it adds 2 every hour. It should add 1 instead.

D is wrong because the price is the exact same. It means there is no additional cost for the subsequent hours.

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Step-by-step explanation:

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