The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Street that are not within the tolerated widths must be repaired. Which of the following inequalities can be used to assess which streets are within tolerance? (W is the width of the street). a) |W-25|≥0.5

b) |W-0.5|≥25

c) |W-25|≤.05

d) |W-0.5|≤25

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hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb