What is the constant of proportionality in the equation x/y=2/9?
1 answer:
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Answer:
A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours.Express the total distance traveled in terms of x.
Total distance covered by the man in terms of 'x' = (12.5x-285)miles
Step-by-step explanation:
Given:
Speed of a man = 'x' miles/hour
Time taken = hour
So, distance = product of speed and time.
Distance covered in term of 'x'
Now,
Speed = miles/hour
Time taken= hours
Distance =
=
= miles
Total distance covered by the man = Summation of and
=
= miles
So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.
Answer:
The last choice is correct.
Step-by-step explanation:
The given function is
This is a parabola with a=1>0.
The graph will therefore open up.
By comparing to
The vertex is at (h,k)= (-3.8,-2.7)
Therefore the graph crosses the x-axis and the y-axis.
Also the vertex is in the 3rd quadrant because both x and y are negative in this quadrant.
Answer:
On a coordinate plane, a parabola opens up. It starts in quadrant 2, crosses the x axis where the vertex is in quadrant 3, and crosses the x-axis back into quadrant 2.