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Sedbober [7]
3 years ago
9

PLEASE HELP!!! 30 POINTS!!!!!! D: 4 Questions!! It's comparing functions!!

Mathematics
1 answer:
NemiM [27]3 years ago
7 0
Ohh, sorry friend because I don't know
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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

\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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3 years ago
4x + y = 7 find the slope and write the equation <br><br> PLEASE HELP!!!!!
Alexus [3.1K]

Answer:

3

Step-by-step explanation:

4x + 3 = 7

6 0
3 years ago
What is the value of | - 1/2 | ​
AURORKA [14]
1/2 (the third option)
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3 years ago
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When subtracting decimals with the same sign you ______________.
Rus_ich [418]

Hey there!

Answer:\boxed{\text{Line up the decimal}}

Explanation:

When always adding or subtracting, you <em>always</em> have to <u>line up the decimal</u>.

When subtracting decimals with the same sign you <u>Line up the decimal</u>.

Hope this helps!

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3 years ago
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The mark obtained by Belij in an exam is 28 out of 40, express his obtained marks in percentage​
Brut [27]

Marks

= 28/40

= 28/40 × 2.5/2.5

= 70/100

= 70%

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3 years ago
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