Answer: OPTION A.
Step-by-step explanation:
Given the following function:
You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.
Since it is a Quadratic function its graph is parabola.
So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.
You can find the x-coordinate of the Vertex with this formula:
In this case:
Then, substituting values, you get:
Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:
Therefore, you can conclude that:
<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>
You have to use the quadratic formula to solve this. when you do, you get x values of 1.079 and -.5791. You did not provide choices but that's what it comes out to.
Answer:
Change in Y over change in X. So down 8 and over 2. Simplified it would be 4/1
Answer:
1/8.
Step-by-step explanation:
The probability of of a head (and a tail) in one toss of a coin being obtained is 1/2.
Each toss is independent of the others so we multiply the probabilities.
So Prob(Head - tail - head) = 1/2*1/2*1/2 = 1/8.
We have to isolate x. We can achieve that using inverse operations.
6 = 2(x + 8) - 5x
Simplify.
6 = 2x + 16 - 5x
Combine like terms.
6 = -3x + 16
Subtract 16 from both sides.
-10 = -3x
Divide both sides by -3.
3 1/3 = x
x is equivalent to 10/3, 3.33 repeating, or 3 1/3.
