Write a system of equations for the problem, and then solve the system.If a plane can travel 310 miles per hour with the wind and only 290 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
A. Plane: 10 mph; wind: 300 mph
B. Plane: 300 mph; wind: 20 mph
C. Plane: 300 mph; wind: 10 mph
D. Plane: 400 mph; wind: 10 mph
Answer: C
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Solve. Write the answer as a mixed number as needed.Amy decided to bake bread and a cake. For the bread she needed 3
cups of flour. For the cake she needed 1
cups of flour. She had only 3
cups of flour. How much more flour did she need?
A.
1 cups |
B.
2 cups |
C.
1 cups |
D.
1 cups |
Write the whole number in standard form.50,000 + 800 + 10
A. 80,150 B. 50,810 C. 581,000 D. 5801
Solve the problem.A function f(x) is of the form f(x) = a(x - h)2 + k. What can you say about the values of a, h, and k if the graph of f(x) lies entirely below the x-axis?
A. a, h, and k must all be negative B. a and k must be negative C. h and k must be negative D. a and h must be negative
Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.-5x + 6y - z = -8 x + 8y + 5z = 86-8x + y + z = -35
A. {(6, -5, -8)} B. {(7, 3, 8)} C. {(6, 5, 8)} D. {(5, 8, 5)}