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Mnenie [13.5K]
3 years ago
11

6x — 4 > 14or3х + 10 < 4

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

9514 1404 393

Answer:

  x < -2  or  3 < x

Step-by-step explanation:

<u>6x -4 > 14</u>

  6x > 18 . . . . add 4

  x > 3 . . . . . . divide by 6

<u>3x +10 < 4</u>

  3x < -6 . . . . subtract 10

  x < -2 . . . . . divide by 3

The solution is the union of disjoint sets:

  x < -2  or  x > 3

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Find the limit, if it exists. (if an answer does not exist, enter dne.) lim (x, y) → (0, 0) x4 − 20y2 x2 + 10y2
Firdavs [7]
Traveling along the x-axis, we have

\displaystyle\lim_{(x,y)\to(0,0)}\frac{x^4-20y^2}{x^2+10y^2}=\lim_{x\to0}\frac{x^4}{x^2}=\lim_{x\to0}x^2=0

On the other hand, along the y-axis we get

\displaystyle\lim_{(x,y)\to(0,0)}\frac{x^4-20y^2}{x^2+10y^2}=\lim_{y\to0}\frac{-20y^2}{10y^2}=\lim_{y\to0}(-2)=-2

Therefore the limit doesn't exist.
5 0
3 years ago
Find x for each of these triangles please
notka56 [123]

Answer:

8) 10°

9) X can not be determined.

10) 10°

11) 12 units.

Step-by-step explanation:

8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.

So, 6x = 60°  

⇒ x = 10°.

9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.

So, 6x - 5 = 6x

So, x can not be determined from this equation.

10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°

Hence, 3x = 30°

⇒ x = 10°

11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.

Again, ∠ X is given to be 60°.

Therefore, each angle is 60°.

So, the triangle XYZ is equilateral, and each side will be equal.

So, 3x + 8 = 4x - 4

⇒ x = 12 units. (Answer)

3 0
3 years ago
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sergey [27]
4 trillion pounds.

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Out of our 4,000,000 gigawatt-hours, 50% of it comes from coal; this is 2,000,000 gigawatt-hours.

2,000,000(1,000,000) = 2,000,000,000,000 (2 trillion) kilowatt-hours.

Since each kilowatt-hour is 2 lbs of carbon dioxide, 2 trillion * 2 = 4 trillion lbs of carbon dioxide.
4 0
3 years ago
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Answer:

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Step-by-step explanation:

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