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BigorU [14]
3 years ago
5

Which expression is equivalent to this one? u · 5 + u · v A. u(5 + v) B. 5(u + v) C. v(5 + u) D. u · (5 + u) · v

Mathematics
1 answer:
Sloan [31]3 years ago
4 0
We know: <span>The distribution of multiplication by addition
and that means A is suitable
m*a+n*a= a*(m+n)=(m+n)*a
Have fun</span>
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Solve x+2/x-4&lt;0<br><br> A)–4 &lt; x &lt; –2<br> B)–2 &lt; x &lt; 4<br> C)–2 &lt; x &lt; –4
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Domain:\ x\neq-2\\\\\dfrac{x+2}{x-4}

Other method:

\dfrac{x+2}{x-4}

zeros of numerator and denominator are x = -2 and x = 4.

Look at the second picture.

for x < -2 → x + 2 < 0 and x - 4 < 0

therefore \dfrac{x + 2}{x - 4}=\dfrac{(-)}{(-)}>0

for -2 < x < 4 → x + 2 > 0 and x - 4 < 0

therefore \dfrac{x+2}{x-4}=\dfrac{(+)}{(-)} < 0

for x > 4 → x + 2 > 0 and x - 4 > 0

therefore \dfrac{x+2}{x-4}=\dfrac{(+)}{(+)} > 0

<h3>Answer: B) -2 < x < 4</h3>

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