PLEASE HELPPPPP ASAP

Mathematics

1 answer:

saul85 [17]3 years ago

5 0

Answer:

it's the last one, the function is decreasing from x=-3 to x=-1

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Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe

AlekseyPX

The answer is
$\frac{-6i-3}{5}$ .

Before we rationalize the denominator, we must simplify the numerator and denominator. We evaluate the square root on the top, and combine like terms on the bottom:
$\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}$

To rationalize the denominator, we multiply by the conjugate. The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign. The conjugate of -2-i is -2+i:

$\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}$

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3 years ago

If you pay $43 for a set of Pokémon cards online that were listed for $40 what is the tax percent you were charged

Alex777 [14]

Amount of tax paid = 43-40 = 3

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gregori [183]

Answer:

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Step-by-step explanation:

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0.5 is the first way

1/2 is the second way

50% is the third way.

Hope that helps bud :).

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AFB, the sides are similar

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