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Irina-Kira [14]
3 years ago
8

HELP MEEE PLEASEEEEE Which number is the greatest: √36, 6.34 (4 repeating only), 6.34 (34 repeating)? Explain why

Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

6.34 (4 repeating)

Step-by-step explanation:

√36 = 6

6.34 (4 repeating) --> 6.3444

6.34 (34 repeating) --> 6.3434

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Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

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Hence, we will have the three factors:

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Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

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Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

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