Answer:
50 (mph) = rate of passenger train
Step-by-step explanation:
Let the rate of the freight train = R
Let the rate of the passenger train be R + 30
The freight train has been traveling for 2 + 3 = 5 hours
And the passenger train has been traveling for 3 hours
And they have traveled the same distance when the passenger train overtakes the freight train
So using rate * time = distance we have that
R(5) = (R + 20) 3 simplify
5R = 3R + 60 subtract 3R from both sides
2R = 60 divide both sides by 2
R = 30 (mph) = rate of freight train
R + 20 = 50 (mph) = rate of passenger train
A, C, D, G
_____
B - the graph is of a quadratic function (apparently). It has a minimum value of -9 as shown on this graph. The maximum is +∞, which is not of interest.
E - the intercepts are (-4, 0) and (2, 0).
F - the vertex is (-1, -9). The solutions are the zeros or x-intercepts (generally), unless the question is asking specifically for the extreme value and where it is located. That is, the solutons to (x +1)^2 -9 = 0 will be -4 and 2.
Answer:
B.3.5 m
Step-by-step explanation:
