(9) Once you have a factored a trinomial into two binomials how can one check that their answer is correct?
Commutative Property
Associative Property
Distributive Property
Multiplicative Inverse Property

If you heat soup on a stove, what happens to the movement of the soup's particles? a. the particles move slower. b. the particles move faster. c. there's no change in the speed of particles. d. the particles stop moving.

And whereas our provinces in north america, have been frequently ravaged by indian enemies, more especially that of south-carolina, which in the late war, by the neighboring savages, was laid waste with fire and sword and great numbers of english inhabitants, miserably massacred, and our loving subjects who now inhabit them, by reason of the smallness of their numbers, will in case of a new war, be exposed to the late calamities; inasmuch as their whole southern frontier continueth unsettled, and lieth open to the said savages. and whereas we think it highly becoming our crown and royal dignity, to protect all our loving subjects, be they ever so distant from us; to extend our fatherly compassion even to the meanest and most unfortunate of our people, and to relieve the wants of our above mentioned poor subjects; and that it will be highly conducive for accomplishing those ends, that a regular colony of the said poor people be settled and established in the southern territories of carolina."- from  charter of georgia, 1732 based on the passage, it can be determined that the main reason the king of england wishes to establish a new southern colony is becausea)he wants to provide a safe haven for all of his loyal british subject'sb)he wants to protect the fathers of each family in order to keep them safe.c)he wants to make sure there will be enough soldiers in the event of another war.d)he wants to use the new colony to protect the other colonies from attack

Mankiw attributes – chapter 1 and his 10 principles – differences in living standards within a countryover time and across countries at a moment in time to: a. the presence or absence of inflation and unemployment.b. the allocation of resources between private markets and the public sector.c. those that have dealt successfully with the efficiency v. equality tradeoff and those that haven’t.d. differences in productivity.e. ones that think at the margin and respond to incentives and those that don’t.