An object is dropped from a certain height. The relationship between the distance the object fell d, in feet, and the duration of the drop t, in seconds, can be modeled by a square root function. Some values of d and t are presented in the table below

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step-by-step explanation:

positive

step-by-step explanation:

the quadrant is facing upwards

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.

answer: (x+2) (x+3) are the binomials for your question : )