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2 years ago

4. Tyrone needs to save $100 to pay for his trip to

Mathematics

1 answer:

erik [133]2 years ago

8 0

Answer:

6 hours

Step-by-step explanation:

Subtract saved amount from required amount :

$100 - $45.50
$54.50

Divide by the pay rate :

$54.50 / $9.25
5.89 ≅ 6

Tyrone must work at least 6 hours to have $100 saved.

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2 Express answer as a common fraction. Thanks!!

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By the quadratic formula,

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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:

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

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