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:
Step-by-step explanation:
circumference = 2πr
2πr = 30π inches
Area = πr² = π*15*15 = 225π square inches
Answer:
c
Step-by-step explanation:
it is because in (a) the square root of 112. is 10.58 which is in between 10 and 11
(B) the square root of 180 is 13.42 which is between 13&14
(c) the square root of 12 is 3.46 which is not between 4&5
Answer:
-65/24
Step-by-step explanation:
-26/8 * 5/6 .To divide by a fraction, multiply bhy the reciprocal of that fraction. -13/4 * 5/6. Reduce the fraction with two. multiply -13/4*5/6 and you get -65/24
67912 rounded to the nearest 10th is 67910
