Kevin plans to put concrete on a rectangular portion of his driveway. the portion is 10 feet long and 3 inches high. the price of concrete is $98 per cubic yard. the total cost of the concrete kevin needs is $72.59. which of the following is closest to the width of the portion of the driveway on which kevin plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb

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.