Answer: A)1/2
Step-by-step explanation: m = y2-y1/x2-x1
I will use the values (1,2) and (3,3) from the table
1=x1, 2=y1, 3=x2, 3=y2
m = 3-2/3-1
m=1/2
(16x^1/6y^-2)^3/2 / (x^-1/6y^6)^3/2
=(4^2)^3/2 (x^1/6)^3/2 (y^-2)^3/2 / (x^-1/6)^3/2(y^6)^3/2
= 4^3 x^1/4 y^-3 / x^-1/4 y ^9
= 64 x^(1/4 +1/4) y^(-3-9)
= 64 x^1/2 y^-12
= 64 x^1/2 / y^12
answer is D.64 x^1/2 / y^12
2x² - 3x - 20
40
2 20
4 10
5 8
2x² - 8x 5x - 20
2x(x - 4) 5(x - 4)
(2x + 5) (x - 4)
2x + 5 = 0 x - 4 = 0
2x = -5 x = 4
x = -5/2
C) x = -2.5 and 4
The common difference is 2.5 because each number is getting 2.5 added to it to get the next number.