Hello from MrBillDoesMath!
Answer: 500
Discussion:
The idea is to represent p(x) with a squared component...
3 + 4x - 4x^2 =
3 - ( 4x^2 - 4x) =
Add and subtract 1:
(3+1) - (4x^2-4x +1) =
4 - (2x-1)^2
To maximize profit we need to minimize the term (2x-1)^2 as it is always positive (or zero) and subtracts from the number 4. The minimum of (2x -1)^2 occurs when 2x -1 = 0 or x = 1/2. Since x is the number of speakers in thousands, (1/2)x = 500 speakers.
Note: this problem can be more easily addressed in a Calculus course by taking the first derivative of p(x), setting it to zero, and solving for x (which yields x = 1/2 too)
Thank you,
MrB
1) slope is (8-1)/(4-(-6))=7/10
2) slope is (3-5.2)/(3.25-(-42.25))=-2.2/45.50=-22/455
3) the slope of 1 means the line is inclined to the horizontal axis at an angle of 45 degrees. There are an infinite number of such parallel lines, but only one y=x passes through the origin.
Answer:
B
Step-by-step explanation:
If Sean wants to but both the muffin and cookie then this addition. 3 +m shows the correct expression. the answer is b
Y.
The function shows one transformation, which is right one.
Original (parent) function would be √ X with the coordinates: (0,0), (1,1), (4,2), and so on. Looking at (1,1), it’s noticed that it’s now (2,1), which shows that the x has been affected due to the transformation of shifting right one unit.
Answer:
all you gotta do is times it
Step-by-step explanation: