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Pachacha [2.7K]
3 years ago
10

Two trains are traveling towards each other at a constant speed. The trains are currently 714 miles from each other. The speeds

of the trains differ by 8 miles per hour. The trains will meet in 7 hours. What is the speed of the faster train?
Mathematics
1 answer:
shutvik [7]3 years ago
6 0
55mph.

you can solve it using the equation distance=speed x time

your total distance is 714, and you have 2 trains, one traveling some speed, x, and one traveling x+8, both traveling for 7 hours. 
your equation would look like this
714 = x(7) + (x+8)(7)
and you can then solve for x, which would be 47. this is the speed of the slower train, but 47+8=55 with give you the speed of the faster train. 
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What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?
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The value of 'k' in the quadratic Equation    4x^{2}+kx+4=0 having one rational solution is k is 8.

<h3>What is a Quadratic Equation?</h3>
  • Quadratic equations are the polynomial equations of degree 2 in one variable of the type f(x) = ax^{2} + bx + c = 0 where a, b, c, ∈ R and a ≠ 0.
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Here, the given equation is  4x^{2}+kx+4=0

By comparing the given equation with the standard form of the quadratic equation we get,

a = 4

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c = 4

The given quadratic is having one rational solution, which means b^{2} -4ac=0

Therefore,

k^{2} -4 \times 4\times4=0\\k^{2} -64=0\\k^{2} =64\\k=\sqrt{64} \\k=8

Therefore, the value of k is 8.

Learn more about the quadratic equation is brainly.com/question/8649555

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2 years ago
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Answer:

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Step-by-step explanation:

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and 100 is divides 25 times.

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30 / 0.4 = 75

25 / 0.4 = 62.5 and is wrong

therefore B 120 is correct.

5 0
3 years ago
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