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Pachacha [2.7K]
3 years ago
11

Which function has a domain of all real numbers except x=pi/2+-npi?

Mathematics
2 answers:
OLga [1]3 years ago
8 0
It is rather obvious that we will have to deal with a trigonometric function. Let us see... the first hint is that a function is not defined somewhere. cos and sin are defined for all real numbers... what about tan though? Well, as we approach pi/2, tan becomes larger and larger and it is not defined at pi/2. Given that the tan function has a period of pi (cos and sin have a period of 2pi), this function is the right candidate. Since it is periodic and it is not defined at pi/2, it cannot be defined at any x=pi/2+-npi (if it was defined for some n, then it would have the same value at pi/2 due to periodicity). Hence, a function that works is tanx, or 2*tanx or tanx+6.
lord [1]3 years ago
7 0

Answer:

y=secx

Step-by-step explanation:

A p e x T r i g o n o m e t r y

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6 0
3 years ago
Read 2 more answers
If a and b are odd integers, then a – b is an even integer.
Readme [11.4K]
So the answer choices are
1. a-b=even
2. a and b are not odd
3. a and b are odd
4. a-b=even
5. a-b=not even

even=not odd
not even=odd so choice 5 is really a-b=odd
basically choice 4 and 1 are the same so we cross one out
so
the problem said that a and b are odd so therefor choice2 is wrong and choice 3 is correct

then both are odd
odd-odd=even because
an even number is represented as 2n where n is an integer
an odd number can be represented as 2n+1 so assume you have 2 odd numbers 2 away from each other so odd and (odd+2)
odd+2-odd=2n+1+2-(2n+1)=2n+1+2-2n-1=2n-2n+1-1+2=2
you are left with odd
using integers
7 and 11
11-7=4
even

so odd-odd=even, it depends on weather you consider 0 odd or even


so the asnwers are:
a and b are odd
a-b is not an even integer
6 0
3 years ago
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What is the equation of the line x–3y=18x–3y=18 in slope-intercept form?
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The correct answer is y= -18/3x
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Julie and Brian are financing $245,000 to purchase a house. they obtained a 30/5 balloon mortgage at 5.25%. What will their ball
balandron [24]
This question had the following choices:
<span>A) $223,884.91
B) $226,753.98
C) $229,679.66
D) $234,068.73</span>

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Answer:

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  • 16 ounces of solution A

Step-by-step explanation:

The largest contributor of salt to the mix is the 45% solution (B), so we'll let our variable (b) represent the quantity of that. The total amount desired is 40 ounces, so the quantity of solution A is (40-b) ounces. Then the amount of salt in the mix is ...

  0.45b +0.20(40-b) = 0.35(40)

Simplifying and subtracting 0.20(40), we get ...

  0.25b = 0.15(40)

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The scientist should use 24 ounces of Solution B and 16 ounces of Solution A.

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