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guapka [62]
3 years ago
5

If you can buy 1⁄2 of a gallon of milk for 3 dollars, how many gallons can you buy for 5 dollars? Write your answer as a fractio

n of a gallon.
Mathematics
1 answer:
Paladinen [302]3 years ago
3 0
If half a gallon of milk is 3 dollars then you should be able to buy one gallon for 6 dollars. Therefore 5 dollars can buy 5/6 gallons of milk.
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What is the sum of the roots of the polynomial shown below?<br> f(x) = x^3 + 2x^2 - 11x-12
svp [43]

<u>Answer:  </u>

Sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

<u>Solution:</u>

The general form of cubic polynomial is a x^{3}+b x^{2}+c x+d=0 ---- (1)

If we have any cubic polynomial a x^{3}+b x^{2}+c x+d=0 having roots \alpha , \beta , \theta

Sum of roots \alpha + \beta + \theta = \frac{-b}{a} ---(2)

From question given that,

x^{3}+2 x^{2}-11 x-12 --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= \frac{-2}{1}

= -2

Hence the sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

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valentina_108 [34]

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