Use grouping to factor the polynomial.x4 - 8x3 + 3x - 24

A. (x3 + 3)(x - 8)
B. (x3 - 3)(x - 8)
C. (x2 + 3)(x - 8)
D. (x3 + 3)(x + 8)


Answer: A

Mathematics

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Convert as indicated.0.8 kg to ounces

A. 28.48 oz B. 36 oz C. 17.6 oz D. 1.76 oz

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Solve the following systems of linear equations using Gaussian elimination.

14x -3y + 4z = 88 7x + 4z = 47 7x - 3y + 4z = 53

Mathematics

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = 

A. f(x): D = , R is all real numbers;
f-1(x): D is all real numbers, R = 
B. f(x): D = , R = ;
f-1(x): D is all real numbers, R = 
C. f(x): D = , R = ;
f-1(x): D = , R = 
D. f(x): D = , R = ;
f-1(x): D = , R = 

Mathematics

Solve the problem.When a dead body is discovered, one of the first steps in the ensuing investigation is for a medical examiner to determine the time of death as closely as possible. If the temperature of the medium has been fairly constant and less than 48 hours have passed since death, Newton's law of cooling can be used. Newton's law of cooling states, , where k is a constant, T is the temperature of the object after t hours, and TM is the (constant) temperature of the surrounding medium. Assuming the temperature of a body at death is 98.6°F, the temperature of the surrounding air is 69°F, and at the end of one hour the body temperature is 89°F, when will the

temperature of the body be 77°F? Round to the nearest tenth of an hour. A. 1.9 hr B. 0.4 hr C. 0.7 hr D. 3.3 hr

Mathematics