Acertain 3-ft by 3-ft rubber shop-floor mat costs $43. a 3-ft by 4-ft foam mat costs $27. which of these mats has the lower cost per square foot, and how much lower is it?

Step-by-step explanation:

A certain 3-ft by 3-ft rubber shop-floor mat costs $43. Since both sides of the mat are equal, it means that the mat is a square. Area of a square is expressed as Length^2.

The length of the 3-ft by 3-ft is

3^2 = 9ft^2

If 9ft^2 cost 43

Then 1ft^2 costs $

x = 43/9 = $4.78 per square foot

A 3-ft by 4-ft foam mat costs $27

Since both sides of the foam mat are unequal, it means that the foam mat is a rectangle . Area of a rectangle is expressed as Length × width

The length is 4-ft and the width is

3-ft

Area of the foam mat = 4×3 = 12 ft^2

If 12ft^2 cost 27

Then 1ft^2 costs $y

y = 27/12 = $2.25 per square foot

The foam mat is cheaper because it has a lower cost per square foot

Difference in cost is $4.78 - 2.25

= $2.53

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option