Answer:
36 miles.
Step-by-step explanation:
We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.

Substitute the given values:




The total distance is 72 miles, so the distance going up would be half of 72.

Therefore, Karina went 36 miles up the mountain.
The rational function shown in the graph is:

<h3>
How to determine the function?</h3>
First, we can see that we have an asymptote at x = 5, so the denominator becomes equal to zero when x = 5.
Then the rational function is something like:

We also can see that when x = 6, the function intercepts the x-axis, then we must have that:
g(6) = 0
So we can define:
g(x) = x - 6
So the rational function is:

If you want to learn more about rational functions, you can read:
brainly.com/question/1851758
<h3>
Answer:</h3>
5.51 seconds
<h3>
Step-by-step explanation:</h3>
y = 0 when the stone hits the ground. At that point, t can be found from ...
... 0 = -16t^2 +486
... 0 = t^2 -30.375 . . . . divide by -16
... 30.375 = t^2 . . . . . . add the opposite of the constant
Take the square root to get ...
... √30.375 = t ≈ 5.51 . . . . seconds
Answer:
1. False
2. True
3. True
4. True
Step-by-step explanation:
Answer:
2 wrongly solutions and 18 right solutions
Step-by-step explanation:
The computation is shown below:
= 20 (problems) × 10 (points)
= 200 points
And it received 176 points
So the difference is of
= 200 - 176
= 24
In the case of wrong solution, the points that are lost is
= 10 + 2
= 12
Now the solutions done wrongly is
= 24 ÷ 12
= 2
And, the solutions does rightly is
= 20 - 2
= 18