The width, w, of a rectangular playground is x +3 . the area of the playground is x^3-7x+6 . what is an expression for the length of the playground? (1 point)

Length is :

Step-by-step explanation:

The width of the rectangular playground is given as = x+3

The area of the playground is given as =

We have to find the length.

The area of the rectangle is given as :

So, length can be found as :

=>

Solving this we get,

Factoring we get (x-1)(x-2)(x+3)

Using the rational root theorem and assuming a0=6 and a(n)=1

Divisors of a0 = 1,2,3,6

Divisor of a(n) = 1

1/1 is the root of equation. So, factoring out x-1 we get

dividing we get -6

So, result becomes

Factoring this we get:

Cancelling x+3

We get the length as = or

9 x 8 divided by (5-3)=36

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.