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.
For the answer to the question above, I believe the answer is simply <u><em>8.
</em></u>
2 groups divided into four participants. So all in all people needed is 8.
I hope this helped you. Have a nice day!
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Answer:
- 10√2 - 5√5
Step-by-step explanation:
- 2√50
√50 = √( 2 x 5 x 5 ) = 5√2
- 2√50
= - 2 x 5√2
= - 10√2
- √125
= - √( 5 x 5 x 5 )
= - 5√5
- 2√50 - √125
= - 10√2 - 5√5
Option 2: is the correct answer
Step-by-step explanation:
Given fraction is:
In order to simplify, we can see that the function is already in compact form
So,
We can simplify the given fraction.
We can see that the numerator can be further simplified
Hence,
Option 2: is the correct answer
Keywords: Polynomials, expressions
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