As a manager in a flooring store, you respond to a customer's inquiry regarding available sizes of square
tiles. The customer needs square tiles that measure
1.5 feet on each side. Your store sells square tiles with
lengths measured in centimeters.
What is the side length in centimeters of a square tile that measures 1.5 feet on each side rounded to the nearest hundredth? 
7.09
10.63
45.72
68.58
70.87

step-by-step explanation:

the shape,the size and the distance

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

step-by-step explanation: 2

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