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egoroff_w [7]
3 years ago
7

A mixture of chlorine and water contains a total of 60 gallons. There are 30 gallons of pure Chlorine in the mixture. (I) what p

ercent of the mixture is water? (ii) what percent of the mixture is chlorine?
Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

60 gallons of the whole thing, chlorine and water mixed.


one may note that 30 is half of 60, namely 50% of 60.


if there are 30 gallons of chlorine, 60 - 30, the leftover is 30 gallons, and that must be water.


so 50% is chlorine, and the other 50% is water.

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we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 4x^3+20x^2+2x-3

To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.

Let f(x)=4x^3+20x^2+2x-3\\\\\text{when x=-5}\\\\f(-5)=4(-5)^3+20(-5)^2+2(-5)-3=-13\\\\\text{when x=}\frac{1}{2}\\

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\text{when x=}\frac{3}{4}\\\\

f( \frac{3}{4} ) = 4 ( \frac{3}{4} )^3+20(\frac{3}{4})^2+2(\frac{3}{4})-3=\frac{183}{16}\\

Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.

Since sum of roots=\frac{-b}{a}= \frac{-20}{4}=-5\\

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<span>If you want to look at what the formula for conditional probability does, it adjusts your probability by restricting the "universe". </span>

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