Factor by grouping.15x2 + 18xy + 20xy + 24y2
A. (15x + 4y)(x + 6y)
B. (3x + 4y)(5x + 6y)
C. (3x + 4)(5x + 6)
D. (3x - 4y)(5x + 6y)
Answer: B
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Use the graph of a known basic function and a combination of transformations to sketch the function.f(x) = -2(x + 1)2 - 4
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Find an equation of the sphere with center (6,-3,6) that touches the xy-plane.
What will be an ideal response?
Solve the problem.Suppose that an insect population density, in thousands, during year n can be modeled by the recursively defined sequence: .Use technology to graph the sequence for n = 1, 2, 3, . . . , 20 . Describe what happens to the population density function.
A. The insect population stabilizes near 11.65 thousand. B. The insect population stabilizes near 12.58 thousand. C. The insect population increases every year. D. The insect population stabilizes near 8.45 thousand.
An executive invests $31,000, some at 6% and some at 9% annual interest. If he receives an annual return of $2,310, how much is invested at each rate? ?
A. $16,000 at 9%, $15,000 at 6% B. $17,100 at 6%, $13,900 at 9% C. $16,000 at 6%, $15,000 at 9% D. $16,500 at 6%, $14,500 at 9% E. $17,000 at 6%, $14,000 at 9%