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Ksivusya [100]
3 years ago
11

Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life. Ch

oose one of these sectors and give an example of a polynomial or rational function modeling a situation in that sector.
Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

  L = s^2/(30.25Cd)

Step-by-step explanation:

In accident investigation, the speed of a vehicle can be estimated using a polynomial function that relates speed (s) to the length of skid marks (L). The drag coefficient Cd will depend on the condition of the road surface and tires, but might be expected to be between 0.7 and 0.8.

If the skid marks end in a collision, the length of the marks that might have been made can be estimated using this formula, then that length added to the actual length of marks to estimate the original speed. The speed at the point of collision can be estimated by the damage caused, and/or the movement created.

In the above formula, length is in feet, and speed is in miles per hour.

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Transform each polar equation to an equation in rectangular coordinates and identify its shape.
Gemiola [76]

Answer:

(a) x ^ 2 + y ^ 2 = 6 ^ 2

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Step-by-step explanation:

Remember that to convert from polar to rectangular coordinates you must use the relationship:

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DochEvi [55]

Answer:

  • a) (0,0), (-4, 1), (-1,2)
  • b) None

Step-by-step explanation:

  • <em>There are two ways of solving similar problems. One- substitute x and y with respective coordinates and verify if the inequalities are correct. Two- graph the lines and see if the points are in the intersection zones.</em>
  • <em>We'll go with the first method. </em>
  • <em>Remember both inequalities should be correct for the same point to accept it as a solution.</em>

<u>Given points </u>

  • (0,0), (-4,1), (-1,2)
<h3>a) <u>The system of inequalities</u></h3>
  • y > x - 1
  • y < -1/2x + 2

<u>Point (0,0)</u>

  • 0 > 0 - 1 = -1 correct
  • 0 < -1/2(0) + 2 = 2 - correct
  • Yes

<u>Point (-4,1)</u>

  • 1 > -4 - 1 = -5 - correct
  • 1 < -1/2(-4) + 2 = 4 - correct
  • Yes

<u>Point (-1,2)</u>

  • 2 > -1 - 1= -2 - correct
  • 2 < -1/2(-1) + 2 = 2.5 - correct
  • Yes
<h3>b) <u>The system of inequalities</u></h3>
  • x - 2y ≥ 4
  • 2x - y ≥ -1

<u>Point (0, 0)</u>

  • 0 - 2(0) = 0 ≥ 4 - incorrect
  • 2(0) - 0 = 0  ≥ -1 - correct
  • No

<u>Point (-4, 1)</u>

  • -4 - 2(1) = - 6 ≥ 4 - incorrect
  • 2(-4) - 1 = - 9 ≥ -1  - correct
  • No

<u>Point (-1,2)</u>

  • -1 - 2(2) = -5  ≥ 4 - incorrect
  • 2(-1) - 2 = - 4 ≥ -1  - correct
  • No
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