The length of a rectangle is 5 inches less than three times its width. the perimeter is 86 inches. find the dimensions, in inches, of the rectangle.

8x - 10 = 86 {combined like terms}

8x = 96 {added 10 to both sides}

x = 12 {divided both sides by 8}

3x - 5 = 31 {substituted 12, in for x, into 3x - 5}

width = 12 in.

length = 31 in.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

the graph is negative for all real values of x where   -6 < x < -2.

step-by-step explanation:

this refers to the values of f(x) in the area below the x-axis.