The range is [4, infinity], {y|y greater than or equal to 4}
Answer:
(2x – 7) × (2x + 7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (4x² – 49) m²
Dimension =?
The picture in the question above has a rectangular shape. Thus, the area is given by:
Area (A) = Length (L) × Width (W)
A = L × W
The dimension of the shape will be:
L × W
Now, we shall determine the dimension (L × W) as follow:
Area (A) = (4x² – 49) m²
Dimension (L × W) =?
A = L × W
L × W = 4x² – 49
Recall:
4 = 2²
49 = 7²
Thus,
L × W = 2²x² – 7²
L × W = (2x)² – 7²
Different of two squares
L × W = (2x – 7)(2x + 7)
L × W = (2x – 7) × (2x + 7)
Dimension = (2x – 7) × (2x + 7)
Therefore, the possible dimension (L × W) of the shape is (2x – 7) × (2x + 7)
Answer:
According to steps 2 and 4. The second-order polynomial must be added by 
and 
to create a perfect square trinomial.
Step-by-step explanation:
Let consider a second-order polynomial of the form 
, 
. The procedure is presented below:
1) (Given)
2) 
(Compatibility with addition/Existence of additive inverse/Modulative property)
3) 
(Compatibility with multiplication)
4) 
(Compatibility with addition/Existence of additive inverse/Modulative property)
5) 
(Perfect square trinomial)
According to steps 2 and 4. The second-order polynomial must be added by and to create a perfect square trinomial.
Given:
Kim picked 250 pounds of pears yesterday and 287 pounds of pears today.
To find:
The percentage increase of amount of pears picked by Kim.
Solution:
We know that,
Therefore, the percentage increase of amount of pears picked by Kim is 14.8%.
