The number of people in the auditorium can be less than or equal to 420 so let p represent the number of people
The inequality is p≤420
False a rectangle could never be a square
Focus of the parabola is (-5,5) and directrix is y = -1.
Let's assume a point (x,y) on parabola.
According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.
Answer:
see explanation
Step-by-step explanation:
Using the laws of logarithms
• log x - log y = log(
)
•
x = n ⇔ x = 
Hence
(
) = 2, hence
= x² ( multiply both sides by 4 )
8x - 3 = 4x² ← rearrange into standard form
Subtract 8x - 3 from both sides
4x² - 8x + 3 = 0 ← in standard form
(2x - 1)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
One can be, they both have the same absolute value no matter what.