Provide an appropriate response.Solve the system of equations using the substitution method:x - 4y = 10-3x + 12y = -15
A. inconsistent; no solution
B. x = 10, y = 0
C. x = 0, y = -2
D. dependent; many solutions
Answer: A
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Find the gradient field F of the function f.f(x, y, z) = x4e5x + y5z5
A. F = (4 + 5x)x3e5xi + 5y4z5j + 5y5z4k B. F = (4 + 5x)x3e5xi + 5y4j + 5z4k C. F = (1 + x)x3e5xi + y4z5j + y5z4k D. F = (4 + 5x)x3e5xi + (x4e5x + 5y4z5)j + (x4e5x + 5y5z4)k
Solve.Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25/week. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekly profit when 92 cans of soda are sold in a week.
A. P = 0.75x - 25; $44.00 B. P = 0.75x + 25; $94.00 C. P = 0.65x + 25; $84.80 D. P = 0.65x - 25; $34.80
Use the inverse of the coefficient matrix to solve the system of equations. y + z = 5,3x -z = 8, 2x + y + 3z = 9; A-1 = - 
A. 
B. 
C. 
D. 
List the intercepts of the graph. 
A. (4, 0), (0, -4), (0, 1), (0, 5) B. (-4, 0), (1, 0), (5, 0), (0, 4) C. (4, 0), (0, 4), (0, 1), (0, -5) D. (4, 0), (1, 0) (-5, 0), (0, 4)