Answer:
The eastbound train travels at 92 mph and the westbound train travels at 96 mph.
Step-by-step explanation:
We know that Velocity = distance / time
If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.
After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.
Substituting the values of the problem and solving for x we have
Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.
The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>
The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
Learn more about the limit of a function x here:
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Answer:
Ask something & it will be answered
Step-by-step explanation:
Answer:
Alex's ride is $15.25
The equation to find this is
1.25m + 4 = cost
m = miles traveled
Answer:
y = -2/3 x + 25/3
Step-by-step explanation:
The slope = (y_2 - y_1) / (x_2 - x_1) = (9 - 7) / (-1 - 2) = -2/3.
Our equation needs to be in y = mx + b form.
We can plug in (2, 7) as our (x, y) and find b:
7 = -2/3 (2) + b
b = 7 + 4/3 = 25 / 3.
Therefore, our equation is y = -2/3 x + 25/3
