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svlad2 [7]
3 years ago
8

54) |1-2/3x|<1

Mathematics
1 answer:
Naily [24]3 years ago
4 0

|a| < b\iff a < b\ \wedge\ a > -b\\\\|a| > b\iff a > b\ \vee\ a < -b

\left|1-\dfrac{2}{3}x\right| < 1\iff1-\dfrac{2}{3}x < 1\ \wedge\ 1-\dfrac{2}{3}x > -1\ \ \ |\text{subtract 1 from both sides}\\\\-\dfrac{2}{3}x < 0\ \vedge\ -\dfrac{2}{3}x > -2\ \ \ \ |\text{change the signs}\\\\\dfrac{2}{3}x > 0\ \wedge\ \dfrac{2}{3}x < 2\ \ \ \ |\text{multiply both sides by 3}\\\\2x > 0\ \wedge\ 2x < 6\ \ \ \ |\text{divide both sides by 2}\\\\x > 0\ \wedge\ x < 3\to0 < x < 3\to x\in(0,\ 3)

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Answer:

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Step-by-step explanation:

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y = 4x -1

8 0
3 years ago
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Naya [18.7K]

The average interest rate is 8.57% paid on the total of $28,000

<h3>What is the percentage?</h3>

The percentage is defined as a ratio expressed as a fraction of 100.

Dominic pays 7% interest on his $16,000 college loan,

And 12% interest on his $12,000 car loan

To determine the average interest rate paid on the total $28,000 he owes

Calculating the total interest amount paid :

⇒ 7% of 16,000 +  12% of 12,000

⇒ (7/100)16,000 +  (12/100)12,000

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7 0
1 year ago
urgente ordenar de mas grande a mas pequeño estos numeros: 85,94 85,490 , 85,93, 85,035 ,85
Ilia_Sergeevich [38]
Largest to Smallest:- 

First lets write all the numbers down. 45, 94, 85, 490, 85, 93, 85, 035, 85. 

035 is 35. 

So lets order them now.

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3 years ago
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I need the answer too. My brother needs it.

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What is y= 4^x with the domain of (-2,0,3)
Elena L [17]

Step-by-step explanation:

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4 years ago
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