David drove 870 miles in 12 hours. At what rate did David drive per hour?
2 answers:
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Answer:
Step-by-step explanation:
The given rational function is
Let us expand the numerator to get;
We can observe that, the degree of the numerator is the same as the degree of the denominator.
Therefore the horizontal asymptote is the ratio of the coefficient of the leading terms:
The horizontal asymptote is
Answer:
(x, y) = (-6, -4)
Step-by-step explanation:
The solution can be found quickly using a graphing calculator. It is the point of intersection of the two lines.
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If you like, you can solve the system algebraically. The second equation can be rewritten to give ...
y = x +2
Substituting this into the first equation gives ...
5/3x -2(x +2) = -2
-1/3x -4 = -2
Adding 4 and multiplying by -3 gives ...
x = -3(-2+4) = -6
Then our equation for y tells us ...
y = -6 +2 = -4
The solution is (x, y) = (-6, -4).
