Answer: -2, 0, 4
Set the equation equal to zero.
x³ - 2x² - 8x = 0
Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.
x(x² - 2x - 8) = 0
Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!
x(x - 4)(x + 2) = 0
Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).
x = 4
x = -2
The zeros of the polynomial function are -2, 0, and 4.
2/9
5/10 *4/9=2/9
ask if you have any more questions
Answer:
So the answer is y=5 and x=1
The time taken for the smaller pipe to fill the pool by itself is 15.71 hours
<h3>Rate of work</h3>
- Time taken for both pipes = 6 hours
- Time taken for long pipe = x
- Time taken for small pipe = x + 6
- Rate of work of both pipes = 1/6
- Rate of work of long pipe = 1/x
- Rate of work of small pipe = 1/x + 6
1/6 = 1/x + 1/(x+6)
1/6 = (x+6)+(x) / (x)(x+6)
1/6 = (x+6+x) / x²+6x
1/6 = (2x+6)(x² + 6x)
1(x² + 6x) = 6(2x+6)
x² + 6x = 12x + 36
x² + 6x - 12x - 36 = 0
x² - 6x - 36 = 0
x = 9.71 or -3.71
The value of x cannot be negative
Therefore, the
Time taken for long pipe = x
= 9.71 hours
Time taken for small pipe = x + 6
= 9.71 + 6
= 15.71 hours
Learn more about rate of work:
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Answer:
So interest rate is 8% per annum
Step-by-step explanation:
Principal amount = $3,006
Amount at end = $3,967.92
Time = 4yrs
interest money = ($3967.92 - $3006)
also equal to = 4 * (x/100) * $3,006
Where x is the interest rate per annum
So, 4 * (x/100) * $3,006 = ($3967.92 - $3006)
x = 8%
So interest rate is 8% per annum
