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:
This cannot be done, but it can be factored as: 6(5x + 1)
Step-by-step explanation:
This expression cannot be distributed any further.
The distributive property is used when multiplying polynomials (multiplying one or more terms by two or more terms). In which case, each term in multiplied by each of the terms in the bracket, for example: .
5(x + 2) = 5x + 10
We can factor this expression however to go the opposite direction:
30x + 6
Since 30 and 6 are both divisible by 6, we can factor it out of each term.
Divide 30x by 6 and divide 6 by 6.
6(5x + 1)
Answer:
See below in bold.
Step-by-step explanation:
1. The sequence is 1000, 2000, 4000, 8000.
2. The common ratio is 2000/1000 = 2.
3. Number of bacteria after 7 hours is 1000(2)^(7- 1)
= 64,000.
4. 1000(2)^(x-1) > 1,000,000
2^x-1 > 1000
x- 1 log 2 > log 10
x- 1 > 9.96
x > 10.96
During the 11th hour.
