The question follows the special product rule of polynomials.
(a-b)(a+b) = a^2 - b^2
From the given, (3-2i)(3+2i), then the answer will be 3^2 - (2i)^2
simplifying the answer:
9 - 4i^2
Take note that i = square root of -1
Then, i^2 = -1
So, 9 - (4 * -1)
= 9 - -4
= 13.
So the answer is 13.
A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
Answer:
hi, hope you are good!, hope you have the greatst holidays ever!
Step-by-step explanation:
8
Step-by-step explanation:
- Critical Path Analysis is presented using the circle and arrow diagrams.
- Earliest Start Time = the earliest possible time of starting the activity
- An arrow running between two event circles shows the activity needed to complete that task.
- All arrows run left to right
- Time for doing just task E = 8 hours (as shown in the figure)
Pemdas you multiply first meaning you multiply 4 and 4 getting 16 then adding 34 which is the answer to the problem
