The equation a = x(x-4) describes the area, a, of a rectangular flower garden, where x is the width in feet.
what would be the width in feet of the flower garden if the area is 12 square feet?
a.2

b.6

c.4

d.7

The flower garden width would be 6 ft

Step-by-step explanation:

A = 12 ft^2 = x(x + 4) becomes:

x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0

Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16

Taking the square root of both sides yields x + 2 = ±4.

In this context only a positive x value makes sense:  x = 2 + 4  =>  x = 6.

The flower garden width would be 6 ft.  The other dimension would be 6 - 4, or 2, ft.

answer:   n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11

+5             +5

2n ≥ -6

2/2 ≤ -6/2

n ≤ -3

-6 - 10n > 44

+6           +6

-10n > 50

-10/-10 50/-10

n < -5

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