The width of a rectangle is y feet long. the rectangle is 4 feet longer than it is wide. what is the area of the rectangle? which expression represents the area?

expresses the area.

Step-by-step explanation:

Let the width of a rectangle be 'y' feet.

Let the length of a rectangle be 'y+4' feet.

As we know the area of rectangle :

Area of rectangle is given by

Hence, expresses the area.

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.