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ValentinkaMS [17]
3 years ago
11

What is a comman denominater

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

Hello There!!

Step-by-step explanation:

It is a number which both denominators share at least one factor other than 1.

hope this helps,have a great day!!

~Pinky~

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If x>2, then x^2-x-6/x^2-4=
Viefleur [7K]
Consider the expression \frac{x^{2} -x-6}{ x^{2} -4}

To factorize the expression in the denominator we use difference of squares: x^{2} -4=x^{2} - 2^{2} =(x-2)(x+2)

To factorize x^{2} -x-6 we use the following method:

x^{2} -x-6=(x-a)(x-b)

where a, b are 2 numbers such that a+b= -1, the coefficient of x,

and a*b= -6, the constant.

such 2 numbers can be easily checked to be -3 and 2

(-3*2=6, -3+2=-1)

So x^{2} -x-6=(x-a)(x-b)=(x+3)(x-2)


 \frac{x^{2} -x-6}{ x^{2} -4}= \frac{(x+3)(x-2)}{(x-2)(x+2)}= \frac{x+3}{x+2}


\frac{x+3}{x+2}= \frac{x+2+1}{x+2}= \frac{x+2}{x+2}+ \frac{1}{x+2}=1+ \frac{1}{x+2}

for x>2

\frac{1}{x+2}\ \textless \  \frac{1}{2+2}= \frac{1}{4}

thus

for x>2, 

1+ \frac{1}{x+2}\ \textless \ 1+ \frac{1}{4}= \frac{5}{4}


Answer: 

for x>2

\frac{x^{2} -x-6}{ x^{2} -4} =  \frac{x+3}{x+2} \ \textless \  \frac{5}{4}, (but the expression is never 0)
8 0
4 years ago
The graph shows which inequality???
Andreyy89
Try this option:
1. according to the line on the graph x≥0 and x<9.
2. in answers a;b;c;d;e x<0, only in answer f. √x<3, x>0. It means, that answer 'f' is correct.

answer: f.
7 0
3 years ago
Y is 1 1/3 times x.
ValentinkaMS [17]

Answer:

B. 4:3

Step-by-step explanation:

Note: I use the '&' mark to symbolize mixed fractions, since it's easy to mistake the whole number for part of the numerator. Don't do this for assignments, as it's not proper.

1 & 1/3 = 4/3

Thus, the answer is B. 4:3.

4 0
3 years ago
Is 660 10 times as much as 600?
Serggg [28]
No it's not. hope I helped
6 0
3 years ago
Read 2 more answers
Please help!!! 20 POINTS!!
Sedbober [7]

Answer:

it would be 9 by 6

Step-by-steit would be 9 by 6p explanation:

it would be 9 by 6

8 0
3 years ago
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