Find the first term and the common difference.524, 513, 502, 491, . . .
A. a1 = 524, d = -524
B. a1 = 524, d = 524
C. a1 = 524, d = -11
D. a1 = 524, d = 11
Answer: C
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Identify the equation without applying a rotation of axes.5x2 - 2xy + 2y2 - 2x - 4y + 8 = 0
A. hyperbola B. parabola C. ellipse D. not a conic
For the points P and Q, find the coordinates of the midpoint of the segment PQ.P(5
, 
), Q(-
, 4
)
A. 
B. 
C. 
D. 
Two artists make winter yard ornaments. They get $81 for each wooden snowman they make and $74 for each wooden Santa Claus. On average, Nina must work 4 hours and Roberta 3 hours to make a snowman. Nina must work 2 hours and Roberta 4 hours to make a Santa Claus. If neither wishes to work more than 20 hours per week, how many of each ornament should they make each week to maximize their income? The information is summarized in the table below. SnowmanSanta ClausTime availableProfit (dollars)8174 Nina's time (hours)4220Roberta's time (hours)3420? Please enter your answer as three numbers in the following order: number of snowmen, number of ornaments of Santa Claus, maximum income. Separate the three numbers with commas.
What will be an ideal response?
Solve the equation by making an appropriate substitution.x-2 + 3x-1 + 2 = 0
A. 
B. {-1, -2}
C. {1, 2}
D. 