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Nikolay [14]
3 years ago
15

Y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

<u>Answer:</u>

y = 1/7

<u>Step-by-step explanation:</u>

  • y ∝ 1/√x  ⇒  y = k/√x
  • y = 5, x = 49  ⇒  5 = k/√49  ⇒  5 = 7k  ⇒  k = 5/7
  • y = 5/(7√x) ⇒  x = 25  ⇒  y = 5/(7√25) = 5/(7·5) = 1/7

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Given : A graph showing  a system of inequalities.

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Since the general equation of line is y = mx + c

Where m is slope and c is y intercept

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Substitute, we get,

m=\frac{-4-0}{0-1}=4

Slope is 4.

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-4 = 4(0) + c ⇒ c = -4

Thus, equation becomes y = 4x - 4

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y = 4x - 4 becomes 0 = - 4  is satisfied when 0 > -4

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Since, the line is a solid so it will take up equality sign too.

For line 2)

The points that cut the x and y axis are (1.5,0) and (0,-1.5)

Thus, we can find the equation of line using two given point.

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Slope is find as m=\frac{y_2-y_1}{x_2-x_1}

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Thus, equation becomes y = x - 1.5

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y = x - 1.5 becomes 0 = -1.5  is satisfied when 0 > - 1.5

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Since, the line is a solid so it will take up equality sign too.

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y ≥ 4x - 4

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