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Phoenix [80]
3 years ago
6

What is the solution to x4 - 12x2+10>0

Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:

  (-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)

Step-by-step explanation:

Using x^2 = z, the equation can be rewritten as ...

  z^2 -12z +10 > 0

  (z -6)^2 -26 > 0

  |z -6| > √26

This resolves to two equations.

This one ...

  x^2 -6 < -√26 . . . . substitute x^2 for z

  |x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|

  -√(6-√26) < x < √(6-√26)

__

and this one ...

  x^2 -6 > √26

  |x| > √(6 +√26)

  x < -√(6 +√26) ∪ √(6 +√26) < x

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Decrease 18 tonnes by 30%
AVprozaik [17]
18 t - 18 t * 30% = 18 t - 17 * 0,3 = 18 t - 5,4 t = 12,6 t
5 0
2 years ago
A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up
disa [49]

Answer:

Therefore the maximum number of video games that we can purchase  

is 6.

Step-by-step explanation:

i) Let us say the number of video game system we can buy that costs $185

 is x and the number of video games of cost $14.95 is y.

ii) The total amount we can spend on the purchase of the video game

   system is $280.

iii) Now with the amount of $280 mentioned in ii) we can see that the

   number  of game systems that can be bought is 1.

 Therefore x = 1.

 Therefore the equation we can write to equate the number of video

  games  and video game system is given by $185 + $14.95 × y ≤ 280

  Therefore 14.95 × y ≤ 280 - 185 = 95

  Therefore y ≤   95 ÷ 14.95 = 6.355

  Therefore the maximum number of video games that we can purchase  

   is 6.

5 0
3 years ago
SOLVE
Sauron [17]

Answer:

approximately

1623.6

Step-by-step explanation:

16 1/2%=.165 which is approximately equal to 1/6, so we can just multiply the original number by 6.

7 0
3 years ago
Megan drove from her house to work at an average speed of 45 miles per hour. The drive took her
Dominik [7]

Answer:

30 mph

Step-by-step explanation:

The average speed = Total distance / Total Time

Distance at 45 m/hr.

t = 20 minutes = 20/60 = 1/3 hour.

r = rate = 45 miles / hour

d = r * t

d = 45 * 1/3 = 15 miles.

Average Speed going home.

t =  30 minutes

t = 30 min / 60 min // hour = 1/2 hours

r = 15 miles / 1/2 = 15 * 2 =  30 miles / hr.

8 0
3 years ago
30 <img src="https://tex.z-dn.net/?f=30%5Cgeq%205" id="TexFormula1" title="30\geq 5" alt="30\geq 5" align="absmiddle" class="lat
Mila [183]
30 is more than 5 not exactlt know what ur looking for here?
3 0
2 years ago
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