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zalisa [80]
2 years ago
7

A number b is at most 9

Mathematics
1 answer:
Travka [436]2 years ago
8 0

b ≤ 9   (b is less than or equal to 9)

Hope this helps! ;)

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|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

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Solve for c : <br> 6/13=3/c
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Cross mutiply and the answer would be 13/2 or 6.5
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3 years ago
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