Factor the four-term polynomial by grouping.24x2 + 20x + 18x + 15

A. (24x - 3)(x - 5)
B. (4x - 3)(6x - 5)
C. (24x + 3)(x + 5)
D. (4x + 3)(6x + 5)


Answer: D

Mathematics

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Provide an appropriate response.For the function f(x) = 3x2 - 4x + 5, find f(a + 1).

A. 3a2 + 2a + 4 B. 3a2 + 4a + 6 C. 3a2 + 4a + 4 D. 3a2 + 2a + 6

Mathematics

Solve. Express the result in scientific notation. If necessary, round the decimal factor to two decimal places.Approximately 9 × 103 employees of a certain company average $30,000 each year in salary. What is the total amount earned by all the employees of this company per year?

A. $2.7 × 109 B. $27 × 108 C. $27 × 109 D. $2.7 × 108

Mathematics

Solve the problem. A wild animal preserve can support no more than 130 elephants. 49 elephants were known to be in the preserve in 1980. Assume that the rate of growth of the population is   = 0.0007P(130 - P)where t is time in years. Find a formula for the elephant population in terms of t.

A. =   where t is the number of years since 1980
B. =   where t is the number of years since 1980
C. =   where t is the number of years since 1980
D. =   where t is the number of years since 1980

Mathematics

Find the solution to the differential equation that satisfies the stated condition. = sin (2x + ?), y(0) = 3

A. y = - cos (2x + ?) + 2
B. y = 2 cos (2x + ?) + 3
C. y = -  cos (2x + ?) + 
D. y = -  cos (2x + ?) + 3

Mathematics