Show that [lg(n+ 1)] =[lg n] + 1 for integers n≥1. hint: group values of n into ranges of theform (2^(k)) ≤ n < (2^(k+1))

What is the solution to the division problem below x3+x2-11x+4/x+4

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

Rewrite the point-slope equation in slope-intercept form: y - 3 = 2(x + 4)