A runner is participating in a 10.3 mile race. If the runner stopped at a water station that is twice as far from the starting l
2 answers:
We have the representation of this problem in the figure below. As we have a 10.3 mile race, then the equation is fulfilled as:
We know that there is <span>a water station that is twice as far from the starting line as from the finish line, then:
</span>
So:
∴
and
<span>Finally, the distance of the runner from the finish line is:
</span>
We know that there is <span>a water station that is twice as far from the starting line as from the finish line, then:
</span>
So:
∴
and
<span>Finally, the distance of the runner from the finish line is:
</span>
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Given:
The parent function is:
The other function is:
To find:
The statement that describes a key feature of function g.
Solution:
We have,
Using these two functions, we get
Putting , we get
The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.
We know that as
and it will never intersect the line
. It means the horizontal asymptote of the function g is
Therefore, the correct option is A.
Answer:
69 feet
Step-by-step explanation:
we have
where
h(t) is the height of the ball
t is the time in seconds
we know that the given equation is a vertical parabola open downward
The vertex is the maximum
so
the y-coordinate of the vertex represent the maximum height of the ball
Convert the quadratic equation into vertex form
The equation in vertex form is equal to
where
(h,k) is the vertex of the parabola
the vertex is the point (2,69)
therefore
The maximum height is 69 ft