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3 years ago

What is the slope or change of 6(x-y) =5(x+y)

Mathematics

1 answer:

scoundrel [369]3 years ago

3 0

6x - 6y = 5x + 5y ; / - 6x
We solve for y ;
-6y = -x + 5y ; / -5y
-y = -x ; / *(-1) ;
y = 1*x ;
The slope is 1.

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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

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

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Multiply numerator and denominator by the denominator's conjugate:

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

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3 years ago

If F(x) = 2x^ln(x), then F'(2) =

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Step-by-step explanation:

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Answer: 325

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x + x + 71 = 579

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2x = 508

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x = 254

Adult tickets = x + 71 = 254 + 71 = 325

P.S. Hope it helps. If you have any questions, feel free to ask them here. I'll be happy to help! Have a wonderful day!

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