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Rufina [12.5K]
2 years ago
8

How many sixty fourths would seven eights equal

Mathematics
1 answer:
charle [14.2K]2 years ago
7 0
The answer to your question is that it will equal 56 of them.
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For what values of $x$ is $$\frac{x^2 + x + 3}{2x^2 + x - 6} \ge 0?$$ note: be thorough and explain why all points in your answe
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To solve the inequality \frac{x^2+x+3}{2x^2+x-6}\ge \:0

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2x^2+x-6=\left(2x^2-3x\right)+\left(4x-6\right)=x\left(2x-3\right)+2\left(2x-3\right)\\ \mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-3x\mathrm{:\quad }x\left(2x-3\right)\\ \mathrm{Factor\:out\:}2\mathrm{\:from\:}4x-6\mathrm{:\quad }2\left(2x-3\right)\\

Now take \mathrm{Factor\:out\:common\:term\:}\left(2x-3\right)

Then we get factor of the denominator as \left(2x-3\right)\left(x+2\right)

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Signs of x^2+x+3>0

\mathrm{Choosing\:ranges\:that\:satisfy\:the\:required\:condition:}\:\ge \:\:0

x\frac{3}{2} is the required solution of the given inequality.

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3 years ago
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A triangle has an area of 12 square millimeters. What could be the measures of the base and height of the triangle in millimeter
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Answer:

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