Answer:
Option: A is correct.
Step-by-step explanation:
Since we are given a information that:
A contractor needs to fence a rectangular backyard for a client.
(1) The length of the backyard should be at least(gretaer than or equal to)
150 ft.
The length of the backyard is denoted by 'y' as in the graph.
Hence according to statement (1) we have:
y≥ 150
(2) The distance around should be no more than 450 ft.
This means that the perimeter has to be less than or equal to 450 ft.
Hence, 2x+2y ≤ 450.
So such inequalitiies on graphing will give the graph same as in A option.
Hence option A is correct
3<em>x</em> ² - 2<em>x</em> + 1 = 2<em>x</em> ² - 3<em>x</em> + 7
<em>x</em> ² + <em>x</em> - 6 = 0
(<em>x</em> + 3) (<em>x</em> - 2) = 0
<em>x</em> + 3 = 0 <u>or</u> <em>x</em> - 2 = 0
<em>x</em> = -3 <u>or</u> <em>x</em> = 2
ANSWER
80 units²
EXPLANATION
One way to solve this is to find the area of the blue square and the subtract the areas of the red triangles:
The blue square is 12 units long by 12 units wide. Its area is:

Then, the area of the big triangle, which has a base 12 units long and a height of 10 units, is:

The smaller triangle has a base of 4 units and a heigth of 2 units. Its area is:

So the total area of the figure is: