Factor.x3 - 512

A. (x - 8)(x2 + 8x + 64)
B. (x - 8)(x2 + 64)
C. (x + 8)(x2 - 8x + 64)
D. (x + 512)(x2 - 1)


Answer: A

Mathematics

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Mathematics

In a laboratory experiment, two separate foods are given to experimental animals. Each food contains essential ingredients, A and B, for which the animals have a minimum requirement, and each food also has an ingredient C, which can be harmful to the animals. The table below summarizes this information. ?   Food 1 Food 2 Required Ingredient A 10 units/g 3 units/g 33 units Ingredient B 6 units/g 15 units/g 33 units Ingredient C 5 units/g 1 unit/g   ? Determine how many grams of foods 1 and 2 should be given in order to satisfy the requirements for A and B while minimizing the amount of ingredient C ingested. Also determine the minimum amount of ingredient C ingested. Round your answer to one decimal place if necessary. ?

A. 11 grams of food 1 and 0 gram0  of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 11 grams. B. ?0 gram0 of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 11 grams. C. ?12 grams of food 1 and 0 gram0 of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 60 grams. D. ?1 gram0 of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 16 grams. E. ?2 grams of food 1 and 11 grams of food 2 satisfy the minimum requirements for A and B while minimizing the amount of ingredient C to 21 grams.

Mathematics