Find the vertex, focus, and directrix of the parabola with the given equation.x2 - 14x + 12y + 109 = 0
A. vertex: (7, 5)
focus: (4, 5)
directrix: x = 10
B. vertex: (7, 5)
focus: (7, 2)
directrix: y = 8
C. vertex: (7, -5)
focus: (7, -8)
directrix: y = -2
D. vertex: (7, -5)
focus: (10, -5)
directrix: x = 4
Answer: C
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Which subtraction model (take-away, missing addend, comparison, or measurement) corresponds best to the problem?Joyce promised to make fruit baskets for her school bazaar. On Monday, she made 143 baskets and on Tuesday, she made 185 baskets. How many more baskets did she make on Tuesday than on Monday?
A. Comparison B. Missing addend C. Take-away D. Measurement
Solve the equation by factoring.x3 + 6x2 - x - 6 = 0
A. 1, -6, 6 B. 36 C. -1, 1, -6 D. -6, 6
Solve by making a u-substitution.x4 - 6x2 + 8 = 0
A. {±2, ±2
}
B. {2, 
}
C. {±2, ±2}
D. {±2, ±
}
Evaluate.Given that loga7 = 1.946, and loga3 = 1.099, find loga
.
A. 0.468 B. -3.045 C. -0.468 D. -0.847