Answer:
yes, there are an infinite number of solutions
Step-by-step explanation:
The attached graph shows values of A and B (x and y) that can make this equation be true. Any of the points on any of the curves will satisfy the equation. (The repetition continues indefinitely in all directions.)
F(x) = x²-81
g(x) = (x-9) -1(x+9)
= (x-9) -x-9
g(x) • f(x)
= [x²-81 ] • [ (x-9) -x-9 ]
=[ x²-81 ] • [ (x-x -9-9) ]
= [ x²-81 ] •[0-18]
= [ x²-81] •[ -18]
= -18•x² +-81•-18
= -18x²+1458
Answer: Yes, because the total height will be 185 ft, which is less than the 310 ft limit.
Step-by-step explanation:

Answer:
x ≈ - 6.74, 0.74
Step-by-step explanation:
x² + 6x - 5 = 0 ( add 5 to both sides )
x² + 6x = 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 5 + 9
(x + 3)² = 14 ( take square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ± 
Then
x = - 3 -
≈ - 6.74 ( to the nearest hundredth )
x = - 3 +
≈ 0.74 ( to the nearest hundredth )