Which of the following describes the zeroes of the graph of f(x) = –x^5 + 9x^4 – 18x^3?
1 answer:
Answer:
second option
Step-by-step explanation:
Given
f(x) = - + 9
- 18x³
To find the zeros let f(x) = 0, that is
- + 9
- 18x³ = 0 ( multiply through by - 1 )
- 9
+ 18x³ = 0 ← factor out x³ from each term
x³ (x² - 9x + 18) = 0 ← in standard form
x³(x - 3)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x³ = 0 ⇒ x = 0 with multiplicity 3
x - 3 = 0 ⇒ x = 3 with multiplicity 1
x - 6 = 0 ⇒ x = 6 with multiplicity 1
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Because the area is the length*width, to find the width, we must divide the area by the length.
Think of it this way:
Divide l on both sides:
And w is what we're looking for.
So, divide 159 3/8 by 18 3/4.
You should get that the width is 8.5 feet :)