The coefficient of xy in the product of (4x2 + 2y) and (3x + y2) is

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

(4x2 + 2y)(3x+y^2)

= 12x^3 + 4x^2y^2 + 6xy + 2y^3

coefficient of xy is ----> 6

mylen [45]3 years ago

5 0

(4x² + 2y)(3x + y²) =

12x³ + 4x²y² + 6xy + 2y³

The coefficient of xy is 6

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At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio

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The fraction of the orange juice will be 2/3cup.

Why?

Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.

We can calculate the fraction of the orange juice using the following information:

$FruitPunch=\frac{1}{4}Lemonade+\frac{1}{12}Cranberry+Orange\\\\1cup=\frac{1}{4}cup+\frac{1}{12}cup+Orange\\\\1cup-(\frac{1}{4}cup+\frac{1}{12}cup)=Orange\\\\1cup-(\frac{12+4}{4*12})=Orange\\\\Orange=1cup-\frac{16}{48}cup=1cup-\frac{1}{3}cup=\frac{3-1}{3}cup=\frac{2}{3}cup$