The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.
And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.
From the above information, we can easily conclude that the Correct representation is done in graph 4
Answer:
The competition took 12.5 minutes.
Step-by-step explanation:
Let the time taken by Achilles to complete the competition is h hours.
Now, Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.
So, the competition was 13h miles long.
Now, Turtle will take h hours to complete h miles of the competition.
Now, given that (13h - h) = 2.5
⇒ 12h = 2.5
⇒ h = 0.208 hours.
⇒ h = 12.5 minutes.
Therefore, the competition took 12.5 minutes. (Answer)
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Add sides 3x
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Answer:
42 miles.
Step-by-step explanation:
It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.
Speed of Mr. Rivers = 48 mph
Speed of Mrs. Rivers = 36 mph
We need to find the distance between them at 10:30 a.m.
10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour
Distance covered by Mr. Rivers in half hour = 48 × 0.5 = 24
Distance covered by Mrs. Rivers in half hour = 36 × 0.5 = 18
Total distance covered by both in half hour = 24 + 18 = 42
Therefore, they are 42 miles far from each other at 10:30 a.m.
