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m_a_m_a [10]
3 years ago
6

What is the relationship between the set of variables when comparing the speed a bus travels and the time it takes to get to sch

ool?
Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Answer: sorry

Step-by-step explanation:

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Use properties to find the sum or product<br>8 x 51
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8(51)

=8(50+1)

=8*50+8*1

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4 years ago
If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
8. what is the graph of the inequality in the coordinate plane? <br><br> y&lt;-2
LekaFEV [45]
1) Draw the coordinate plane

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3 years ago
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