Step-by-step explanation:
End behavior of a polynomial function is the behavior of the graph of f(x) as x tends towards infinity in the positive or negative sense.
Given function:
f(x) = 2x⁶ - 2x² - 5
To find the end behavior of a function:
- Find the degree of the function. it is the highest power of the variable.
Here the highest power is 6
- Find the value of the leading coefficient. It is the number before the variable with the highest power.
Here it is +2
We observe that the degree of the function is even
Also the leading coefficient is positive.
For even degree and positive leading coefficient, the end behavior of a graph is:
x → ∞ , f(x) = +∞
x → -∞ , f(x) = +∞
The graph is similar to the attached image
Learn more:
End behavior brainly.com/question/3097531
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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:
what is radius
Step-by-step explanation:
tell me what is the radius
Answer:
Height = 8 cm
Step-by-step explanation:
Volume of cylinder = π×r²×h
288π = π × 36 × h
(Divide both sides by π)
288 = 36 × h
(Divide 288 by 36)
8 = h
Answer:
176+216+75=467
500-467=33
so 33 is the answer
Step-by-step explanation:
