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Helen [10]
3 years ago
13

What is the domain of the rational expression x-4/2x-6

Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

Interval Notation:  ( − ∞ , 3 ) ∪ ( 3 , ∞ )

Set-Builder Notation:  { x | x ≠ 3 }

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It would be appreciated if there could be an explanation along the answer
soldi70 [24.7K]

Answer:

i think probably 80°

Step-by-step explanation:

PQ = RS

2x+3 = 4x-3

x = 3

PTQ = RTS

9y-3x-1 = 5x+7y-5

2y-8x = -4

y-4x = -2

y-4(3) = -2

y-12 = -2

y = -2+12

y = 10

so PTQ = 9y-3x-1

9(10)-3(3)-1

90-9-1

80°

8 0
2 years ago
its question #2 my son and I cannot figure out how to do this other than dividing. however, when u divide 59 into 422, are you s
anyanavicka [17]
Honestly I can see an argument for 7 shelves or for 8 shelves. 

When you do the calculation; \frac{422}{59}=7.15 You get 7.15 shelves. Clearly you cannot have .15 of a shelf so the logician in me wants to say you need 8 shelves! 

But if the assignment is aimed estimation skills, (Which is what I assume is being implied by the title of the assignment), then the easier calculation of \frac{420}{60}=7 is probably what the teacher was hoping for.

You might have been accidentally been calculating \frac{59}{422} =.139. Remember division is NOT communitive! i.e.1\div2\neq2\div1.

From the image;
The first step was to see that 59 can not go into 4..resulting in the zero above the 4, multiplying 0 by 59 and subtracting 0 from 4. 

The second step begins by bringing down the 2, seeing that 59 can not go into 42..resulting in the zero above the 2, multiplying 0 by 59 and subtracting 0 from 42.

The third step begins by bringing down the 2, seeing that 59 can go into 422 7 times (I tested this on the right by a short multiplication problem)..resulting in the 7 above the 2, multiplying 7 by 59 and subtracting 413 from 42.

This process continues....

8 0
3 years ago
Read 2 more answers
What is the common ratio of the geometric sequence: -1/12, -1/2,-3,-18...?
makvit [3.9K]
The answer is B 1/6 just divide the first number by the second one<span />
4 0
3 years ago
The value of a machine depreciates each year by 5% of its value at the beginning of that year. If its value when new on 1st Janu
Artemon [7]

\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &10250\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\textit{elapsed time}\dotfill &9\\ \end{cases} \\\\\\ A=10250(1 - 0.05)^{9}\implies A=10250(0.95)^9\implies A\approx 6460

8 0
2 years ago
Simplify: StartRoot StartFraction 576 Over 64 EndFraction EndRoot The prime factorization of 576 is. The prime factorization of
riadik2000 [5.3K]

The prime factor of the 576 is 2^6 * 3^2 and the prime factor of the 64 is 2^6. And the expression \sqrt{\dfrac{576}{64}} is equal to 3.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The expression is \sqrt{\dfrac{576}{64}}

The prime factor of the 576 will be

576 = 2^6 * 3^2

The prime factor of the 64 will be

64 = 2^6

Then the expression will be

\sqrt{\dfrac{576}{64}} = \sqrt{\dfrac{2^6 * 3^2}{2^6}}\\\\\sqrt{\dfrac{576}{64}} = \sqrt{3^2}\\\\\sqrt{\dfrac{576}{64}} = 3

More about the simplification link is given below.

brainly.com/question/12616840

5 0
2 years ago
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