Answer:

with the video game cost of x = $6
This agrees with the last option in the list of possible answers
Step-by-step explanation:
Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

is given by:

In our case, the quadratic expression that generates the parabola is:

then the x-position of its vertex is:

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

This value is the highest weekly profit (y = $246).
Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position
:

Therefore the answer is:

with the video game cost of x = $6
Answer: 29.75%
Step-by-step explanation:
X/100 *80.33=23.90
80.33x=2390
X=2390/80.33 = 29.75
The ratio between the surfaces areas of the two prisms is equal to 6.25.
<h3>
How to get the ratio of the surface areas?</h3>
The ratio between the volumes of the prisms is:

This number is equal to the cube of the scale of dilation applied to the dimensions of the smaller prism, so the scale factor is:
![\sqrt[3]{15.625} = 2.5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B15.625%7D%20%3D%202.5)
And the ratio between the areas should be the square of the scale factor, then we will have that the ratio between the surface areas of the two prisms is:

If you want to learn more about scale factors, you can read:
brainly.com/question/3457976
The route will take four hours and fifteen minutes. If you start at 9:50 and count four hours, you'll get to 1:50, add ten to get to 2:00, then add 5 minutes to get to 2:05. Four hours plus ten minutes plus five minutes, 4:15.
Answer:
L(f(t)) = 
Step-by-step explanation:
f ( t ) = 10 cos ( 12t + 60°) u(t)
attached below is a detailed solution of the given problem
L(f(t)) = 