(1 point) the length of a rectangular pool is 6 meters less than twice the width. if the pool's perimeter is 90 meters, what is the width? a) write an equation to model the problem. use x to represent the width of the pool.

Let width,w =x

Now it says that length is 6 less than twice width

twice of width means 2x

6 less than twice width means 6 less than 2x,thus we have 2x-6

so length,l =2x-6

Given, perimeter =90

The formula for perimeter,P =2l+2w

So we plug in value of w and l into it and P=90

2l+2w =P

2(2x-6) + 2x =90

4x-12 +2x =90

6x -12 =90

6x= 12+90

6x=102

x=(102/6)

x=17

so width = x =17

length =2x-6 =2(17)-6 =34 -6 =28

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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step-by-step explanation: