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Dovator [93]
2 years ago
8

Help me PLs..Brainly reward -3(x - 4/3) < 6

Mathematics
1 answer:
sp2606 [1]2 years ago
8 0

Answer:

\sf x > -\dfrac{2}{3}

Explanation:

\rightarrow \sf -3\left(x-\dfrac{4}{3}\right) < 6

<u>distribute inside parenthesis</u>

\sf \rightarrow 3x-4 > -6

<u>change sides</u>

\sf \rightarrow 3x > -6 + 4

<u>simplify</u>

\sf \rightarrow 3x > -2

<u>divide both sides by 3</u>

\sf \rightarrow x > -\dfrac{2}{3}

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Step2247 [10]

Solving the expression \frac{4-5i}{2+3i} we get -\frac{7}{13}-\frac{22i}{13}

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Step-by-step explanation:

We need to solve the expression: \frac{4-5i}{2+3i}

Multiplying and dividing by 2-3i

=\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}\\=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,know\,\, i^2=-1\\=\frac{8-12i-10i+15(-1)}{4-9(-1)}\\=\frac{8-15-12i-10i}{4+9}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}

So, solving the expression \frac{4-5i}{2+3i} we get -\frac{7}{13}-\frac{22i}{13}

So, Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

  • brainly.com/question/10736268
  • brainly.com/question/4678474

#learnwithBrainly

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