When given a system of equations, the "solutions" are defined where two equations intersect, or meet.
A. The point where the lines p(x) and g(x) meet is (3, -1), and thus this is considered the solution set.
B. Because there are three lines in total, g(x) is able to intersect both lines one time, and so it has two pairs of solutions.
The first is (3, -1), which has already been established with p(x).
The second is (0, 5), and this is where it intersects with f(x).
C. The solution to f(x) = g(x) is 0, as this is the only x value where both equations are equal.
Hope my answer helped!
Answer:
0.3157
Step-by-step explanation:
Given that according to a certain news poll, 71% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly,
Let A be the event that it should be the government's responsibility to provide a decent standard of living for the elderly, and B the event that it would be a good idea to invest part of their Social Security taxes on their own
P(B) = 41%=0.41
A and B are independent
Hence P(both)=
the probability that a person agreed with both propositions
= Probability for both A and B
= P(A) P(B) since A and B are independent
= 0.3157
Answer:
The length of the hallway is 10 m.
Step-by-step explanation:
Given:
Time taken to cover 1 km = 2.5 hours
Distance covered in 2.5 hours = 1 km
Therefore, speed of robot = 
Now, speed is constant.
Now, time taken to cover the length of hallway = 90 s
Speed of the robot = 0.4 km/h
Converting 0.4 km/h to m/s, we multiply by the factor
. This gives,

Now, distance of the hallway is equal to the product of speed and time. So,
Distance of hallway = Speed
Time
Distance of hallway = 
Therefore, the length of the hallway is 10 m.
Answer:
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Step-by-step explanation: