Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.Select one:a. {(10, 0, 0)}b. No solution; inconsistentc. Infinitely many solutions; dependentd. {(2, -1, -4)}The correct answer is: {(2, -1, -4)}

Solve the problem.The motion of an object traveling along a straight path is given by s(t) = at+ 210 of 14

15Incorrect0.00 points out of 6.25s(t) = atv t+ s, where s(t) is the position relative to the origin at time t. Three observed data points are given. Find the values of a, v, and s(1) = 19, s(3) = 87, s(5) = 171000Question 16Correct6.25 points out of 6.25Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 22 nights. She spent twice as many nights in Dallas as she did in Washington. The total cost for 22 nights (excluding tax) was $3,100. Determine the number of nights that she spent in each city.The motion of an object traveling along a straight path is given by s(t) = atv t+ s, where s(t) is the position relative to the origin at time t. Three observed data points are given. Find the values of a, v, and s(1) = 19, s(3) = 87, s(5) = 171000+ s.

Solve the problem.Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 22 nights. She spent twice as many nights in Dallas as she did in Washington. The total cost for 22 nights (excluding tax) was $3,100. Determine the number of nights that she spent in each city.

The correct answer is: 6 nights in Washington, 4 nights in Atlanta, and 12 nights in 20000

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Question 17Correct