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:
A-$1.65
Step-by-step explanation:
You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the left over amount from subtracting the chips you get how much each hot dog is worth.
The answer is 75 because if u multiply 75 by 1/3 you get 25 then 25 times 2/5 u get 10 75 is your answer
Answer:
the equation would be f(x)= -9x+3 or y=-9x+3
Step-by-step explanation:
Answer:
4 star fruit.
Step-by-step explanation:
16/8 = 2
each star fruit is 2 dollars
so 8/2 = 4
you can buy 4 star fruit for 8 dollars.
