Answer:
x-int (2, 0)
y-int (0, 3)
General Formulas and Concepts:
- The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
- The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.
Step-by-step explanation:
<u>Step 1: Locate x-intercept</u>
x-int (2, 0)
<u>Step 2: Locate y-intercept</u>
y-int (0, 3)
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:
something is incorrect in your question.
Step-by-step explanation:
The sum of all three angles in any triangle is only 180°.
Answer:
2/6 or 1/3
Step-by-step explanation:
Nothing it is just basic mathematics
Answer:
Step-by-step explanation:
1) Remove parentheses.
2) Regroup terms.
