Answer:
The required equation is:

Explanation:
Let us assume that the hole is at y = 0m, with x as the time.
From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)
At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)
We know that the vertex of the parabola y = ax² + bx + c is at

therefore we have:

We then have the following equations:



From the 3rd equation we have
1 X 2a = b.
Therefore we have:


We can simplify both equations and get:


The first equation now becomes:


With a, we can find the values of c and b.


Then the equation is:

y = -6
Okay lets substitute x = 0
7 x 0 + 2y = -12
solve the equation for y
y = -6
Answer:
The function g(x) will not contain point (0,1).
Step-by-step explanation:
If a function contains a point then its inverse also contains the point.
Now, in this question florin(x) is a function that contains the point (0, 1).
And the inverse of the function florin(x) will also contain the point (0, 1).
But this inverse function is not g(x).
So, the function g(x) will not contain point (0,1). ( Answer )
Answer:the fraction of the total parade vehicles that are motorcycles is 2/9
Step-by-step explanation:
Let x represent the total number of parade vehicles.
Two thirds of the parade vehicles were vintage vehicles. This means that the total number of vintage vehicles would be
2/3 × x = 2x/3
1⁄3 of the vintage vehicles were motorcycles. This means that the total number of motorcycles would be
1/3 × 2x/3 = 2x/9
Therefore, the fraction of the total parade vehicles that are motorcycles would be
2x/9/x = 2/9