PLS DONT ANSWER WITHOUT AN EXPLANATION , YALL PLS HELP 6. Suppose you place two pennies at 7 inches and one penny at 9 inches on your ruler.

a. Draw a dot plot representing these three pennies.

b. Estimate where to place the fourth penny on your ruler so that the ruler balances at 6, and mark the point on the dot plot above. Mark the balance point with the symbol ∆.

c. Explain why your answer in part (b) is true by calculating the distances of the points from 6. Are the totals of the distances on either side of the mean equal?

b) well because you get well

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

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.