Find an expression for the nth term of the arithmetic sequence., . . .

A. an = 
B. an = 
C. an = 
D. an = 


Answer: B

Mathematics

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Write a system of three inequalities that describe the constraints in the problem.An office manager is buying used filing cabinets. Small file cabinets cost $4 each and large file cabinets cost $11 each, and the manager cannot spend more than $57 on file cabinets. A small cabinet takes up 6 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 63 square feet of floor space available for file cabinets. The manager must buy at least 6 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought.

A. 4x + 11y ? 57; 9x + 6y ? 63; x ? 6 B. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6 C. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6 D. 4x + 11y ? 57; 6x + 9y ? 63; y ? 6

Mathematics

Write the ratio using the word form, the colon form, and the fraction form in lowest terms. 56 pennies to 120 dimes in the jar

A. 56 to 120; 56 : 120;   
B. 56 to 120; 56 : 120:  
C. 120 to 56; 120 : 56;   
D. 56 to 120; 56 : 120;   

Mathematics

Find the requested fraction.Which fraction is equal to ?

A.
B.
C.
D.

Mathematics

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.2 - 5a2 = 4a - 3

A. Two distinct irrational solutions B. Two distinct nonreal complex solutions C. Two distinct rational solutions D. One rational solution (a double solution)

Mathematics