The length of a rectangular lot is 6 feet less than 4 times its width. its area is 256 sqaure feet.

The formula for the area of a rectangle is length times width, or A=l·w

The Area A=256 
The width is w
The lenght is given as 6 feet less than 4 times its width, or in math language this is l=4w-6

Let's go back to the formula
A=l·w ⇒ 256=(4w-6)·w
simplify ⇒ 256=4w²-6w
put everything on the same side and set the equation equal to zero 
⇒ 4w²-6w-256=0
Solve for w using quadratic formula

You are going to get two answers after using the quadratic formula: one positive and one negative. Just remember it doesn't make sense to get a negative answer if we are talking about width, so use the positive answer only

w≈8.7851 units

Width is x
Length is 4x-6
total area=256
256=length*width
256=x*(4x-6)
256=4x^2-6x
256=4x^2-6x
0=4x^2-6x-256
You can solve the equation-
you should get (3+-√1033)/4- Hope this helps

A. -4

B. 4

C. no values

Step-by-step explanation:

When x increases by 2, m(x) increases by 1.  So m(x) is linear.  Pick two points to find the slope:

(3 − 2) / (10 − 8) = ½

Use point-slope form to write the equation:

m(x) − 2 = ½ (x − 8)

m(x) − 2 = ½ x − 4

m(x) = ½ x − 2

Part A

h(4) − m(16) = ½ (4 − 2)² − (½ (16) − 2)

h(4) − m(16) = 2 − 6

h(4) − m(16) = -4

Part B

h(0) − m(0) = ½ (0 − 2)² − (½ (0) − 2)

h(0) − m(0) = 2 − (-2)

h(0) − m(0) = 4

Part C

m(x) − h(x)

(½ x − 2) − ½ (x − 2)²

½ x − 2 − ½ (x² − 4x + 4)

½ x − 2 − ½ x² + 2x − 2

-½ x² + 2½ x − 4

Complete the square.

-½ (x² − 5x) − 4

-½ (x² − 5x + 25/4) − 4 + ½ (25/4)

-½ (x − 5/2)² − 7/8

This is always negative, so m(x) is always less than h(x).