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2 answers:
Answer:
Step-by-step explanation:
To find the the distance between A and B, use , where
is distance,
is rate/speed, and
is time.
The raft travels from A to B in 6 hours at a rate of 3 mph. Thus, the distance from A to B must be:
miles.
Since the motorboat travels the same distance in 2 hours, its rate/speed must be:
Because the raft is drifting, the speed of the current must be in the direction of the raft (from A to B). Thus, let the motorboat's speed be
:
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y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.
Equation B reveals its extreme value without needing to be altered.
The extreme value of this equation is a maximum at the point (2, 5).
Vertex form is
y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.
Equation B reveals its extreme value without needing to be altered.
The extreme value of this equation is a maximum at the point (2, 5).