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Answer:
y = 3x -18 ( where y = balls sent back by Rudolf; x= balls given to Rudolf)
Step-by-step explanation:
x (Balls given) y( Balls sent back)
8 6 Δy/Δx = (27-6)/(15-8) = 3
15 27
25 57 Δy/Δx = (57-27)/(25-15) = 3
Observing the number sequence shows constant gradient and as such we can use equation of a straight line to relate the two variables.
Using the equation of a straight line we have:
(y-y1)/(x-x1) = (y2-y1)/(x2-x1)
y-6/x-8 = (27-6)/(15-8)
y-6/x-8 = 3
y-6 = 3(x-8)
y-6 = 3x - 24
y = 3x-18
X = 16y^2 + 1
x - 1 = 16y^2
(x - 1)/16 = y^ 2
( (x-1) / 16 ) ^1/2 = y
( (x-1) ^ 1/2 ) / 4 = y
Solution:
we have been asked to find the product of (x+y+3)(x+y-4).
we will multiply term by term as below
Hence the the product of (x+y+3)(x+y-4) is 
