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:
The value of g that makes the statement true is 11.
Step-by-step explanation:
The statement is 26 = 7(g - 9) + 12 wich is an equation. In order to find the value of g that satisfies the equation we need to isolate the variable of interest, in this case g. We have:
7*(g-9) + 12 = 26
7*(g-9) = 26 - 12
7*(g-9) = 14
(g-9) = 14/7
(g-9) = 2
g = 2 + 9 = 11
The value of g that makes the statement true is 11.
Answer:
9
Step-by-step explanation:
so we know that its a right triangle and 8 and 
are not the hypotenuse.
the equation for this is 
+
=
with c being the hypotenuse.
+
=
64+17=
81=c
=c
9=c
the algebraic expression would be;
x - 6 = x
hope it helped :D
