Answer:
1/3 is the simplified form for given expression.
Step-by-step explanation:
Given that:
=![\sqrt[-3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B-3%5D%7B27%7D)
By simplifying:
Radical sign will be removed as follows:
= 
For removing the "-" sign from power, base will be inverted:
= 
27 can also be written as 3 * 3 * 3 = 3^3
So,
= 
= 
By simplifying we get:
= 1/3
i hope it will help you!
7 is 35% out of 20, when you divide 7 by 20, you get 0.35 which is 35%.
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
If she was to volunteer 32 hours and it is worth 20%, then that means 32 hours is 1/5 of her yearly hours. If you were to multiply her volunteer hours by five, then you are getting the year number of hours she has volunteered.
32 x 5 = 160
So, she volunteers 160 hours this year.
Answer:
1. a(x) = (x-4) (x-1) (2x+1) (x+3)
2. b(x) = (x^2-2) (x-5) (x+3)
3. c(x) = (2x-1) (x^2- 2x + 5)
