A) The solutions to this set of equation is where the graphs cross. They cross at point (-3, -2).
B) The solutions for f(x) would be points that fall on the graph of f(x). Two possible points are (-3, -2) and (-7, 3)
C) These 2 functions cross at (4, 1). That is the solution.
Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
Answer:
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Step-by-step explanation:
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Answer:
1/12, 1/10
Step-by-step explanation:
P(Bead bracelet and red shoes) - 3/3 x 2 x 2
3/12=1/4 for bead bracelet
Red shoes - 1/3
Total probability for P(Bead bracelet and red shoes=1/4 x 1/3=1/12
P(Elastic bracelet and black shoes)
2/3 x 2 x 2
2/12=1/6 for elastic bracelet
Black shoes - 3/5
Total probablility for P(Elastic bracelet and black shoes)=1/6 x 3/5=3/10=1/10
Hope I helped!
No your supposed to do the math and cancel out each nunber until you find y