Solve by addition or substitution.x + y = 15x - y = -3
A. (-6, 10)
B. (5, 10)
C. (6, 9)
D. ?
Answer: C
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Express the vector in the form v = v1i + v2j + v3k.
if P1 is the point (4, -5, 6) and P2 is the point (6, -8, 2)
A. v = -2i + 3j + 4k B. v = -2i + 3j - 4k C. v = 2i - 3j - 4k D. v = -2i - 3j + 4k
Find the extreme values of the function subject to the given constraint.
A. Maximum: 18 at 
minimum: -18 at 
B. Maximum: 9 at 
minimum: -9 at 
C. Maximum: 18 at 
minimum: -9 at 
D. Maximum: 9 at 
minimum: -18 at 
Solve the problem.The number of male lawyers, in thousands, in a certain country in a particular year can be approximated by the function 
where x represents the number of years after 1985. The number of female lawyers , in thousands, in a certain country in a particular year can be approximated by the function 
where again x represents the number of years after 1985. (i) Find (f + g)(x). Explain, in your own words, what this function represents.(ii) Find (f + g)(40). Explain, in your own words, what this number represents.
A. (i) (f + g)(x) = 173.4x + 224.3; this is the total number of lawyers, in thousands, in a certain country x years after 1985. (ii) 7160.3; there will be 7,160,300 lawyers in a certain country in the year 2025. B. (i) (f + g)(x) = 21.7x + 376; this is the total number of lawyers, in thousands, in a certain country x years after 1985. (ii) 1244; there will be 1,244,000 lawyers in a certain country in the year 2025. C. (i) (f + g)(x) = 397.7x; this is the total number of lawyers, in thousands, in a certain country x years after 1985. (ii) 15,908; there will be 15,908,000 lawyers in a certain country in the year 2025. D. (i) (f + g)(x) = 225.4x + 172.3; this is the total number of lawyers, in thousands, in a certain country x years after 1985. (ii) 9188.3; there will be 9,188,300 lawyers in a certain country in the year 2025.
Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
A. open infinite interval; {x|x > -1}; (-1, ?) B. open infinite interval; {x|x < -1}; (-?, -1) C. closed infinite interval; {x|x ? -1}; (-?, -1] D. closed infinite interval; {x|x ? -1}; [-1, ?)