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Oksanka [162]
3 years ago
13

X^5-2x^4

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

x  ≠-8          x ≠ -2

Step-by-step explanation:

We cannot divide by zero, so the denominator cannot equal zero

X^2+6x-16≠0

Factor

(x+8) (x-2) ≠0

Using the zero product property

(x+8)  ≠0     (x-2) ≠0

x  ≠-8          x ≠ -2

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Ricardo throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Ricard
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For this case we have the following function:
 <span>w (x) = - 5 (x-8) (x + 4)
 </span><span>Rewriting we have:
 </span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
 </span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
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 </span><span>Then, deriving we have:
 </span><span>w '(x) = - 10x + 20
 </span><span>We equal zero and clear x:
 </span><span>0 = -10x + 20
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 </span><span>x = 20/10
 </span><span>x = 2 seconds
 </span><span>Substituting values:
 </span><span>w (2) = - 5 (2-8) (2 + 4)
 </span><span>w (2) = - 5 (-6) (6)
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The maximum height that the stone will reach is:
 
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