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dybincka [34]
2 years ago
12

What happens to the value of the expression as 50/p decreases from a large positive number to a small positive number?

Mathematics
1 answer:
Pepsi [2]2 years ago
7 0

Answer:

50/p increases from a small positive number to a big positive number.

Step-by-step explanation:

p is in the denominator. This means that p and the value of the expression 50/p are inverse proportional. So for a big value of p, 50/p has a small positive value. For a small value of p, 50/p has a high positive value.

what happens to the value of the expression 50/p as p decreases from a large positive number to a small positive number?

50/p increases from a small positive number to a big positive number.

For example

50/1000 = 0.05

50/1 = 50

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If LN=54 and LM=31, find MN
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In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN. 

The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
             LN + LM = MN

We are given with the lengths of the smalller segments and substituting the known values,
             MN = 54 + 31
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<em>ANSWER: MN = 85</em>
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3 years ago
The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
      x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
   This creates an equilateral triangle with equal sides
    The sides are 1, 1 and 1.

Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
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  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

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Step-by-step explanation:

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