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raketka [301]
3 years ago
6

If x=4 and y=5. The value of 3x-5y​

Mathematics
2 answers:
Delicious77 [7]3 years ago
5 0

Step-by-step explanation:

3(4)-5(5)

multiply by the coefficient

=12-25

=-13

Harrizon [31]3 years ago
3 0

Answer:

13, I believe :)

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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

3 0
3 years ago
Write 4 3/7 as a decimal.
Citrus2011 [14]
Hi!

There are two ways to do this. 

1. Start with the first part of the decimal, (4.) then divide 3/7 to get the second part. 

3/7 = 0.43

4.43

2. Convert the mixed number 4 3/7 to a fraction. 

4 x 7 = 28
28 + 3 = 31

31/7

Now convert that into a decimal.

31/7 = 4.43

The answer is 4.43

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
-3(5x-10)=[?]x + [ ]
Setler [38]

Answer:

-15x + 30

Step-by-step explanation:

-3(5x -10)

-15x + 30

7 0
2 years ago
A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet
ale4655 [162]

9514 1404 393

Answer:

  • 16,965 mm/min
  • 90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

6 0
3 years ago
I need help on this:(
Alex Ar [27]

Answer:

Not to sure if this is correct but I think it is 6: 1 : 18

pls msg me if you need explanation

3 0
3 years ago
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