Answer:
Step-by-step explanation:
According to intermediate value theorem, if a function is continuous on an interval ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
, and if 
is any number between 
and 
, then there exists a value, 
, where 
, such that 
In the given question,
Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.
Here,
Put 
Put 
6 inches from the original piece of ribbon is left.
Answer:
152.16 yd²
Step-by-step explanation:
2(8 x 5.6) + 2(8 x 2.3) + (2.3 x 8) = 152.16 yd²
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Step-by-step explanation:
8.8 more than the quotient of five and X
Solution,
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.
