Factor out the variable that is raised to the smaller exponent.-5x-2 + x2
A. x-2(-5 + x-2)
B. x-2(-5 + x4)
C. x-2(5 - x4)
D. x-2(-5 + x-4)
Answer: B
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Solve.An express train travels 267 miles between two cities. During the first of a trip, the train traveled through mountainous terrain. The train traveled
per hour slower through mountainous terrain than through level terrain. If the total time to travel between the cities was 7 hours, find the speed of the train on level terrain.
A. 51 mph B. 41 mph C. 31 mph D. 21 mph
Use the labeled point to write the point-slope form for the line.
A. y - 1 = - (x + 4)
B. y - 2 = - (x + 4)
C. y - 2 = - (x - 4)
D. y + 1 = - (x - 4)
Factor by grouping, if possible.4x3 - 16x2 - 5x + 20
A. (x - 4)(4x2 - 5) B. (x + 5)(4x2 + 4) C. (x + 4)(4x2 + 5) D. (x - 5)(4x2 - 4)
Solve using a system of linear equations in three variables.A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 13 hours to paint, and 7 hours to fire. If the workshop has 124 hours for preparation time, 86 hours for painting, and 132 hours for firing, how many of each can be made?
A. 8 wreaths, 6 trees, 4 sleighs B. 9 wreaths, 7 trees, 5 sleighs C. 6 wreaths, 4 trees, 8 sleighs D. 4 wreaths, 8 trees, 6 sleighs