Mathematics, 17.09.2019 17:30 areeves39276

Not sure how to do this. answers are appreciated, explanations are preferred.(27, 28, and 29) : -)

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27) 2x-1≥0 → 2x≥1 → x≥1/2 or x≥0.5

-∞(-2)(-1)00.512+∞
                                                                              ×××××××××××××××××××××
                                                                                      this is x≥0.5

28) -4≤2x-3<4; add 3 to each part:
-4+3≤2x-3+3<4+3
-1≤2x<7. Divide all parts by 2:

-1/2≤x<7/2 OR -0.5≤x<3.5

-∞(-2)(-1)(-0.5)013(3.5)4∞
                                                  ××××××××××××××××××××××
This is -0.5≤x<3.5. It starts at
-0.5 and it goes until 3.49999999999
   and doesn't reach 3.5

29) x/2 -x/3 >5. But x/2-x/3 = (3x-2x)/6 = x/6, then:

x/2-x/3>5  ↔ x/6>5 OR x>30

-∞(-30)(-20)(-10)0102030+∞
                                                                                                      ××××××××××
   this is x>30    It starts at
   30.000001
   and stops +∞

Answer from: Quest

$\cos( \frac{4\pi}{5} ) + i \: sin( \frac{4\pi}{5}) \\ \\ = e {}^{i \frac{4\pi}{5} } \\ \\ \ \\ so \\ \\ \sqrt[3]{8 \: ( \cos( \frac{4\pi}{5} ) + isin \frac{4\pi}{5 } ) } \\ \\ \\ \\ 2 \: \: \sqrt[3]{e {}^{ \frac{i4\pi}{5} } } \\ \\ 2 \: e {}^{ \frac{i4\pi}{15} }$

Use de moivre’s theorem to compute the following: i attempted to do it but i got the wrong answer a

Answer from: Quest

to have more of what you want like money

step-by-step explanation:

save it by not spending on unnecessary stuff and have more

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Not sure how to do this. answers are appreciated, explanations are preferred.(27, 28, and 29) : -)