Factor completely. If the polynomial cannot be factored, say it is prime.12x3 + 8x2y - 15xy2 - 10y3

A. (4x2 + 5y2)(3x - 2y)
B. (12x2 - 5y2)(x + 2y)
C. (4x2 - 5y)(3x + 2y)
D. (4x2 - 5y2)(3x + 2y)


Answer: D

Mathematics

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Find the extreme values of the function subject to the given constraint.  

A. Maximum: 36 at    minimum: 0 at  
B. Maximum: 36 at    minimum: -36 at  
C. Maximum: 26 at    minimum: -26 at  
D. Maximum: 26 at    minimum: 0 at  

Mathematics

Determine the end behavior of the graph of the function. ? ?

A.  as, and as
B.  as, and as
C.  as, and as
D.  as, and as
E.  as, and as

Mathematics

Solve the problem.A certain electronic air cleaner is capable of filtering x liters of air per second and the percentage of the contaminants that are removed from the air may be calculated by  where  (i) Graph f in [0, 85, 5] by  (ii) Use the intersection-of-graphs method to estimate the x-values where 75% to 90% of the pollutants are removed.

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A.

75% to 90% are removed when
about 42 to 50 liters of air are
filtered.
B.

75% to 90% are removed when
about 25 to 30 liters of air are
filtered.
C.


75% to 90% are removed when
about 35 to 43 liters of air are
filtered.
D.


75% to 90% are removed when
about 26 to 31 liters of air are
filtered.

Mathematics

Graph the system of inequalities.x2 + y2 ? 36-6x + 4y ? -24

A.

B.

C.

D.

Mathematics