SOLUTION: A duck drives under water and its path is describe by the equation y= 2x^2 - 4x, where y represent position of duck in meters and x represent time in seconds.
a) how long was the
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Question 817600: A duck drives under water and its path is describe by the equation y= 2x^2 - 4x, where y represent position of duck in meters and x represent time in seconds.
a) how long was the duck under water?
b) how long was the duck under water at least 0.5 meters below water surface?
- thank you.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
y = 2x^2 - 4x
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part a:
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0 = 2x^2 - 4x
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the above quadratic equation is in standard form, with a=2, b=-4, and c=0
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to solve the quadratic equation, plug this:
2 -4 0
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
the roots of the quadratic are:
x = 2
x = 0
---
Answer a:
the duck was underwater (y <= 0 meter ) for 2 seconds
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part b:
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0.5 = 2x^2 - 4x
0 = 2x^2 - 4x - 0.5
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the above quadratic equation is in standard form, with a=2, b=-4, and c=0.5
---
to solve the quadratic equation, plug this:
2 -4 0.5
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
the roots of the quadratic are:
x = 0.133974596
x = 1.8660254
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Answer b:
dt = 1.8660254 - 0.133974596 = 1.7320509
the duck was underwater below half a meter depth (y <= 0.5 meter ) for 1.73 seconds
---
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---
Solve quadratic equations, quadratic formula:
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