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AURORKA [14]
3 years ago
12

Solve each inequality. (x – 3)(x - 2)^2 > 0

Mathematics
1 answer:
Rudiy273 years ago
6 0

Answer:

Write it like x>3 instead.

Work:

Solve for  x  by simplifying both sides of the inequality, then isolating the variable.

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asambeis [7]

Answer:

see below

Step-by-step explanation:

x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0

x = 2,  x = ± i,   x=3  with multiplicity 2

-----------------------------------------------------

x⁴ - 5x³ + 7x² - 5x + 6 = 0

x = 2,   x=3,   x = ± i

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<u>-1 + 4i</u>    =  4 + i

    i

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x³ - 26x² + 21x - 18 = 0

x = ± 2i,   x = 3/2

--------------------------------------------------------

(1 + i) (-3 - 4i)

= 1 - 7i

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6.

(-5 + 2i) + (3 - 6i)

= -2 -4i

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7.

x⁴ + 5x² + 4 = 0

x = ± i ,     x = ± 2i

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8.

(7 - i) - (-5 + 6i)

= 12 - 7i

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9.

(4 - i) (4 + i)

= 17

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10.

(3 + 8i) (4 - 3i)

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3 0
3 years ago
Brian’s company logo consists of a giant triangle. He wants to paint this triangle on a wall in his office. The triangle that he
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Which property of addition is used in the expression?<br> 0.5+ (0.4+0.8) = (0.5 +0.4) + 0.8
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In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the in
olchik [2.2K]

9514 1404 393

Answer:

  $20.01

Step-by-step explanation:

In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...

  (1.00002^17)(1.00004^1) = 1.00038006801

Then the account balance is ...

  $20 × 1.00038006801 ≈ $20.01

_____

<em>Additional comment</em>

The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) <em>only if there is no rounding in intervening years</em>.

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Answer:

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