Answer:

Step-by-step explanation:
The given expression is:

We expand the parenthesis using the distributive property to obtain;

Recall that;

We apply this property and multiply out the constant terms to obtain;

Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.
Step-by-step explanation:
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>
Answer:
12
Step-by-step explanation:
a=3b
b=2c
c=4d
a*c/b*d = (3(2(4d)))*(4d)/(2(4d))*d
= 96d^2/8d^2
= 12
Answer:
6 7/24
Step-by-step explanation: