Find the quotient and the remainder.x4 + 81 divided by x - 3
A. x3 + 3x2 + 9x + 27; remainder 81
B. x3 + 3x2 + 9x + 27; remainder 162
C. x3 + 3x2 + 9x + 27; remainder 0
D. x3 - 3x2 + 9x - 27; remainder 162
Answer: B
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Two woodworkers, Tom and Carlos, bring in $100 for making a table and $80 for making a chair. On average, Tom must work 3 hours and Carlos 2 hours to make a chair. Tom must work 2 hours and Carlos 6 hours to make a table. If neither wishes to work more than 42 hours per week, find the maximum income. Table Chair Time availableIncome ($) 100 80Tom's time (hr) 2 3 42Carlos's time (hr) 6 2 42
A. $1,560 B. $1,660 C. $1,160 D. $1,060 E. $1,260
Simplify.
A. 
B. 1
C. 1 - a2
D. 
Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.
-2
A. 
B. 
C. 
D. 
Find an equation of the circle satisfying the given conditions.Center (-2, -4) with a circumference of 10? units.
A. (x + 2)2 + (y + 4)2 = 25 B. (x + 2)2 + (y + 4)2 = 100 C. (x - 2)2 + (y - 4)2 = 100 D. (x - 2)2 + (y - 4)2 = 25