A ball is thrown in the air from a ledge. Its height in feet is represented by f(x) = –16(x2 – 5x – 6), where x is the number of
2 answers:
The ball takes 6 seconds to reach the ground.
<u><em>Explanation</em></u>
Height of the ball after seconds is represented by....
The height of the ball is 0 feet when it hits the ground. So, for finding the number of second the ball takes to reach the ground, <u>we will just plug into the above equation and then solve for
.</u>
Thus...
Using zero-product property....
and
(Negative value is ignored as time can't be negative)
So, the ball takes 6 seconds to reach the ground.
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Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.