Solve. Graph the solution on a number line, and express it in interval notation.12x + 6 ? 11x + 7
A. x < 12, (-?, 12)
B. x ? 1, (-?, 1]
C. x ? 1, [1, ?)
D. x > 12, (12, ?)
Answer: B
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Provide an appropriate response.Consider the following counting problem. Eight women and seven men are waiting in line at a movie theater. How many ways are there to arrange these 15 people amongst themselves such that the eight women occupy the first eight places and the seven men the last seven places? To solve this problem, which of the following rules would you use?
A. Both the combinations rule and the fundamental counting principle B. Both the permutations rule and the fundamental counting principle C. The fundamental counting principle only D. The permutations rule only
Determine whether the relations represent functions. Identify the domain and range of each relation.
A. function domain: [3, ?) range: (-?, ?) B. not a function C. function domain: [0, ?) range: (-?, ?) D. function domain: (-?, ?) range: [3, ?)
Find the amount of taxable income and the tax owed. The letter following the name indicates the marital status, and all married people are filing jointly. Use $3700 for each personal exemption; a standard deduction of $5800 for single people, $11,600 for married people filing jointly, $5800 for married people filing separately, and $8500 for head of a household; and the following tax rate schedule. 
A. $9208; $956.20 B. $3408; $340.80 C. $6835; $683.50 D. $3135; $313.50
Find the area of triangle ABC (see the figure) with the given information. Round to the nearest tenth. 
b = 103, c = 12.7
A. 488.3 B. 497.6 C. 503.4 D. 484.1