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.
Alright, lets get started.
We have given angle A = 40°
We are also given angle B is complement of A.
Complementary angles are two angles whose sum is 90, it means
angle B = 
angle B = 
angle B = 50° Answer
Now given, angle C is supplement of angle B.
Supplementary angles are two angles whose sum is 180°.
Means angle C = 
angle C = 
angle C = 130° : Answer
Means angle B = 50° and angle C = 130°
Hope it will help :)
Answer:
698 apples
Step-by-step explanation: 78*9 equals 702. She sold 4 less than that so you need to subtract 4. 702-4=698 apples Berta sold.
Malik can remain honest with his partner Samuel and respect his opinion.
Answer:
f=15
Step-by-step explanation:
f/6=2.5
f=2.5*6
f=15
