Multiply the polynomials using a special product formula. Express the answer as a single polynomial in standard form.(2x - 7)2
A. 2x2 + 49
B. 4x2 - 28x + 49
C. 4x2 + 49
D. 2x2 - 28x + 49
Answer: B
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Identify the largest number expressible in a simple grouping system with the specified base and specified number of distinct symbols.base nine, d distinct symbols
A. d9 - 1 B. 9d - 1 C. 9d D. 9d - 1
Solve the problem.A museum curator collects fossils from two different periods. He has 500 from one period and 255 from a later period. He plans to arrange the fossils in display cases so that each case contains the same number of fossils. Also, each case must contain fossils from only one period. What is the largest number of fossils that can be placed in each case?
A. 255 B. 25,500 C. 500 D. 5
Factor by grouping.18a3 + 12a2b - 15ab2 - 10b3
A. (18a2 - 5b2)(a + 2b) B. (6a2 - 5b2)(3a + 2b) C. (6a2 + 5b2)(3a - 2b) D. (6a2 - 5b)(3a + 2b)
Solve the problem by using three variables.A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.60 per pound, almonds for $2.60 per pound, and cashews for $3.25 per pound. Suppose a specialty shop wants a mixture of 300 pounds that will cost $2.81 per pound. Find the number of pounds of each type of nut if the sum of the number of pounds of almonds and cashews is four times the number of pounds of peanuts. Round your answers to the nearest pound.
A. Peanuts: 190 lb., almonds: 60 lb., cashews: 50 lb. B. Peanuts: 50 lb., almonds: 190 lb., cashews: 60 lb. C. Peanuts: 60 lb., almonds: 50 lb., cashews: 190 lb. D. Peanuts: 70 lb., almonds: 50 lb., cashews: 180 lb.