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mojhsa [17]
2 years ago
12

Is (x+1)/x^2 greater or less or equal to 1/x

Mathematics
1 answer:
Sergio039 [100]2 years ago
6 0

Answer:

(1) x^2 is greater than 1.

(2) x is greater than -1.

(1) x^2 is greater than 1 --> x2>1x2>1 --> x<−1x<−1 or x>1x>1. Sufficient.

(2) x is greater than -1 --> x>−1x>−1. Not sufficient.

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Simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BX-10%7D" id="TexFormula1" title="\frac{1}{X-10}" alt="\frac{1}{X-10}
mr Goodwill [35]

In the second fraction, factorize the denominator:

x^2-9x-10=(x-10)(x+1)

Then we have, as long as x\neq10,

\dfrac1{x-10}\div\dfrac{9x}{x^2-9x-10}=\dfrac{\frac1{x-10}}{\frac{9x}{(x-10)(x+1)}}=\dfrac1{\frac{9x}{x+1}}=\dfrac{x+1}{9x}

which you could also write as

\dfrac{x+1}{9x}=\dfrac x{9x}+\dfrac1{9x}=\dfrac19+\dfrac1{9x}

4 0
3 years ago
to visit the of the empire state building, a ticket cost $4.00 in 1999.in 2009 ,the price rose to 20.00. what was the percent ch
Ksju [112]

Answer:

Step-by-step explanation:

i think its 500%

but im not sure

because 20 divided by 4 = 5

and 5.0 = 500%

3 0
3 years ago
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In a classroom of 3333 students, the ratio of boys to girls is 3:83:8. How many boys are in the class?
Paladinen [302]
3x+8x=3333
11x=3333
X= 303
Boys 3x,so 3*303=909
6 0
3 years ago
BRAINIEST ANSWER HERRREEE!!! :D
steposvetlana [31]
By asking students to answer un-biased, and with detail. Comparing and contrasting each others' genre preference is also useful.

4 0
3 years ago
2+10-4-8+1=<br><br><br> This is for Mark
Lelu [443]

Answer:

1

hehe

Step-by-step explanation:

6 0
3 years ago
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