Let the universe for both variables x and y be the set {2, 4, 6, 8, 10}. Let p(x,y) = "4 divides the sum x + y". Give the truth value of the indicated statement; explain your answer, and give a counterexample in case the statement is false.?x ?y p(x, y)
What will be an ideal response?
There is no value x in the set such that 4 divides x+y for all y.
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Solve the problem.Chelsea Avanos is searching for a job. She lives in Winston-Salem, North Carolina, and has interviews in Tacoma, Washington; Pittsburgh, Pennsylvania; and Gainesville, Florida. The costs for one-way flights between these cities are summarized below:
a) Represent this traveling salesman problem with a complete graph showing the prices of the flights on the appropriate edges.b) Use the Brute Force algorithm to find the least expensive route for Chelsea to travel to each city and return home to Winston-Salem.c) What is the minimum cost she can pay?
What will be an ideal response?
Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = -2x+3 + 4
A. domain of f: (-?, ?); range of f: (-?, 4);
horizontal asymptote: y = 4
B. domain of f: (-?, ?); range of f: (-?, -4);
horizontal asymptote: y = -4 
C. domain of f: (-?, ?); range of f: (-4, ?);
horizontal asymptote: y = 4
D. domain of f: (-?, ?); range of f: (-?, -4);
horizontal asymptote: y = -4
Solve the problem.f varies jointly as q2 and h, and f = -54 when q = 3 and h = 2. Find f when q = 2 and h = 5.
A. f = -30 B. f = -15 C. f = -60 D. f = -12
Simplify. Do not use negative exponents in your answer.5-3 ? 54
A. 5
B. - 
C. 
D. -5