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kati45 [8]
3 years ago
11

What is the steps to find this domain?

Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Answer:

The Domain of the function is the set of ALL Real numbers

Step-by-step explanation:

To find the Domain of a function, one has to examine if there are any mathematical restrictions in the function's expression that could reduce the set of Real numbers to be used in estimating all the possible function's outputs.

Typical examples are:

1) There are x-variables in the denominator of the function (you must consider then which values of x could render a zero in the denominator and therefore make it undefined)

2) the variable x appears inside an even root (like a square root), then you have to consider which values of x are not allowed if they render a negative value inside the root

3) if x appears inside logarithmic expressions (you need to exclude from the domain those x-values that render negative the expression inside the logarithm)

Another important rule to remember,is that all polynomial functions (like the one given in this case) always have for Domain the full number line (all Real numbers) because any Real number used will render another Real number via multiplications, subtractions and additions (which are the operations involved in a polynomial expression)

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Answer:

I think it is C

Step-by-step explanation:

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Tony has a jar that contains 16 red, 8 blue, 7 black, and 1 yellow marble. What is the theoretical probability of selecting a bl
suter [353]

Answer:

\frac{1}{4}

Step-by-step explanation:

Number of blue marbles = 8

Total number of marbles = 16+8+7+1=32

probability\: of \:selecting\: a\: blue\; marble\\=\frac{Number\: of\:blue\: marbles}{Total\: number\: of\: marbles} \\\\=\frac{8}{32} \\\\=\frac{1}{4}

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3 years ago
How do you solve cos(pi/24) using Half-Angle formulas, and leaving in simplified form?
adoni [48]
\cos \frac{\theta}{2}=\sqrt{\frac{1+\cos \theta}{2}}
\\
\\ \cos{\frac{\pi}{24}}=\cos{\frac{\frac{\pi}{12}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{12}}{2}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2}  } 
\\
\\ \cos{\frac{\pi}{12}}=\cos{\frac{\frac{\pi}{6}}{2}}=\sqrt{\frac{1+\cos \frac{\pi}{6}}{2}}= \sqrt{ \frac{1}{2}+ \frac{ \frac{ \sqrt{3} }{2} }{2}  } =\sqrt{ \frac{2}{4}+  \frac{ \sqrt{3} }{4}   } = \sqrt{\frac{ 2+\sqrt{3} }{4} } = 
\\
\\ =\frac{ \sqrt{2+\sqrt{3}} }{2} 


\cos{\frac{\pi}{24}}= \sqrt{ \frac{1}{2}+ \frac{\cos \frac{\pi}{12}}{2}  } = \sqrt{ \frac{1}{2}+ \frac{\frac{ \sqrt{2+\sqrt{3}} }{2}}{2}  } = \sqrt{ \frac{2}{4}+ \frac{ \sqrt{2+\sqrt{3}} }{4}}  } =\sqrt{ \frac{ 2+\sqrt{2+\sqrt{3}} }{4}}  } 
\\
\\\cos{\frac{\pi}{24}}=\frac{\sqrt{2+\sqrt{2+\sqrt{3}}}} {2}


6 0
3 years ago
Solve: 21= 14 +7x<br> A x=5<br> B x=1<br> C<br> X = -1<br> D X = -5
Andreyy89

Answer:

Your answer is b

Step-by-step explanation:

Here you go mate

Step 1

21=14+7x  Equation/Question

Step 2

21=14+7x  Simplify

21=14+7x

Step 3

21=14+7x  Subtract 14x

7x=7

Step 4

7x=7  Divide by 7

answer

1

Hope this help

6 0
3 years ago
Help please!! i’ll give brainliest
amid [387]

Answer:

36\pi

Step-by-step explanation:

A = 144\pi    (area of the circle)

(\frac{1}{4} )144\pi       (find area of sector)

=36\pi

8 0
2 years ago
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