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Evgesh-ka [11]
3 years ago
7

Solve the following inequality. 2x < 8

Mathematics
1 answer:
pentagon [3]3 years ago
4 0
<span>2x < 8
</span><span>2x / 2 < 8/2
  x < 4

hope it helps</span>
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Which side of DEF is the longest ? Please help
Minchanka [31]

∠D= 87°, ∠E = 50°

Sum of three angles in a triangle is 180°

∠F = 180 - (∠D + ∠E)

∠F = 180 - (87 + 50)

∠F = 180 - 137

∠F = 43°

Side opposite to greatest angle is the longest side.

Among angle D, E and F, angle D is the greatest angle

So side opposite to angle D is the longest side which is EF

Option B is the answer

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3 years ago
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Theoretically, what would happen if a nation had an unlimited supply of a certain resource?
Stella [2.4K]
There are several ways this could go, this is my theory. This would be very dangerous because if one Nation had an unlimited supply of a certain resource, other Nations would possibly go to war. Also, the Nation would have trouble controlling its citizens, immigration, and power. 
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4 years ago
Which of the following is a solution to the differential equation xy′−3y=6 ?
ololo11 [35]

Answer:

y = 5 {x}^{3}  - 2

Step-by-step explanation:

The given differential equation is :

xy′−3y=6

We want to determine which of the following options is a solution to the differential equations.

The function that satisfies the differential equation is a solution.

We can verify that

y = 5 {x}^{3}  - 2

satisfy this differential equation.

We differentiate to get:

y' = 15 {x}^{2}

We substitute the function and its derivative into the differential equation to get:

x(15 {x}^{2}) - 3(5 {x}^{3}   - 2) = 6

We expand and simplify on the left:

15 {x}^{3}- 15 {x}^{3}   + 6= 6

This simplifies to:

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Verified.

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3 years ago
How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8
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Answer:

No solutions.

Step-by-step explanation:

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2y = 5x + 8

Plug the first equation into the second.

2(5/2x + 2) = 5x +8

5x + 4 = 5x + 8

<em>5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.</em>

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3 years ago
Katie made 9 quarts of punch for a birthday party, how many ounces of punch did she make?
Mashcka [7]

Answer:

288

Step-by-step explanation:

plz brainliest

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