A map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 18 square inches. What is the actual area of the lake?

182 Square Miles.

Step-by-step explanation:

The area of the lake is actually 182 square miles 1 inch represents one side 3 miles long the other side is also 3 miles. 3×3=9 square miles. 1 Square Inch on the map represents 9 Square Miles.

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

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.