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Answer: It should be 825
Step-by-step explanation:
Parabola form : (y-k) = a(x-h)², where h and k are the vertex(h , k)
The vertex is given (2 , - 9), the equation of the parabola becomes:
y+9 = a(x-2)²
But we know this curve passes through (5, - 18)
Plug the respective values of x & y in the equation:
-18 +9 = a(5-2)² → - 9 = 9a & a = -9/9 and a= - 1
Answer:
a) yes, as the number of seats (2352) is larger than the total audience (1912)
b) 440 empty seats
Step-by-step explanation:
a) total number of seats = number of rows x number of seats in each row
total number of seats = 49 x 48
total number of seats = 2352 seats
total audience = 1854 students + 58 teachers
total audience = 1912 people
b) empty seats = total number of seats - total audience
empty seats = 2352 - 1912
empty seats = 440
