Find the equation of the line that has the given slope and passes through the given point.m = 4, (2, 6)
A. y = 4x + 2
B. x = 4y + 2
C. x = 4y - 2
D. y = 4x - 2
Answer: D
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Row-reduce the matrix associated with the given system to determine whether the system of linear equations is inconsistent or has dependent equations. x + 8y = -3-6x - 48y = -48
A. Dependent B. Inconsistent
Two woodworkers, Tom and Carlos, earn a profit of $95 for making a table and $68 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, how many tables and how many chairs should they make each week to maximize their income? The information is summarized in Illustration. TableChairTime availableProfit (dollars)9568 Tom's time (hours)2342Carlos' time (hours)6242?
A. no tables and 21 chairs: $1,995 B. 12 tables and 3 chairs: $1,344 C. 13 tables and 2chairs: $1,344 D. 3 tables and 12 chairs: $1,101 E. none of these
Perform the indicated operation. Assume that all variables represent positive numbers.12 - 8
-
A. 4
B. 3
C. -5
D. 5
Find the horizontal asymptote(s), if any, of the graph of the rational function.g(x) =
A. y = -4 B. y = 0 C. y = 1 D. no horizontal asymptote