Answer: If anything below sea level is a negative integer then anything above sea level is a positive integer. An integer that could represent a helicopter could be anything from +1 to +1000 and on.

7 0

1 year ago

The back of George's property is a creek. George would like to enclose a rectangular area, using the creek as one side and fenci

Setler79 [48]

Answer:

The maximum possible area of the pasture = 2450 square feet

Step-by-step explanation:

Let the length of the creek be 'L'

and, the width of the rectangular area be 'B'

Data provided:

The rectangular area is enclosed using the creek as one side and fencing for the other three sides

Thus, 2B + L = 140 feet

L = 140 - 2B .........(1)

Now,

Area of the rectangular land, A = L × B

using (1)

A = ( 140 - 2B) × B

A = 140B - 2B²

Now to maximize the area, differentiating the area with respect to width 'B'

we have

$\frac{\textup{dA}}{\textup{dB}}$ = 140 - 2 × 2 × B ...........(2)

for point of maxima or minima , $\frac{\textup{dA}}{\textup{dB}}$ = 0

thus,

140 - 2 × 2 × B = 0

4B = 140

B = 35 feet

differentiating (2) with respect to B, for verifying the maxima or minima

$\frac{d^2\textup{A}}{\textup{dB}^2}$ = 0 - 2 × 2 = -4

since, $\frac{d^2\textup{A}}{\textup{dB}^2}$ is negative,

therefore,

B = 35 feet is point of maxima

from (1)

L = 140 - 2B

L = 140 - 2 × 35

L = 140 - 70 = 70 feet

Hence,

The maximum possible area of the pasture = L × B

= 70 × 35

= 2450 square feet

6 0

4 years ago

Can someone answer this question?

viktelen [127]

7>x>1
7 is greater than x, and x is greater than one

OR

1one is less than x, x is less than 7

8 0

4 years ago