It looks like it could be:
0 + 2 = 2
2 + 4 = 6
6 + 6 = 12
The next logical answers would be:
12 + 8 = 20
20 + 10 = 30
30 + 12 = 42
And so on...
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Factor. X^2 + 12X X(X + 12) = 0 X = 0 ------------- X + 12 = 0 X = - 12 --------------
x2+8x+12 = 0 When factorized: (x+6)(x+2) = 0 Therefore: x = -6 or x = -2
lim(x->0) of sin(x)^2/x we use L'Hospital's Rule and derive the top and the bottomd/dx(sin(x)^2/x)=2*sin(x)*cos(x)/1lim(x->0) of 2*sin(x)*cos(x)=2*0*1=0
2x - 3y = 12When x = 0, y = -4, so that y-intercept is -4.2x - 3y = 122(0) - 3y = 12-3y = 12 (divide both sides by -3)y = -4When y = 0, x = 6, so that x-intercept is 6.2x - 3y = 122x - 3(0) = 122x= 12 (divide both sides by 2)x = 6
x^2 - 6x + 6 = 0 Quadratic formula give (6 +/- sqrt(36 - 24))/2 ie 3 +/- (sqrt 12)/2 = 3 +/- 3.464/2 = 3 +/- 1.732 = 4.732 or 1.268