Answer:
The length of the box is (x + 1)
The height of the box is (x + 1)
Step-by-step explanation:
The given function representing the volume of the box is presented as follows;
V = x³ + 6·x² + 9·x + 4
The function representing the width of the box, W = x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1
x³ + 4·x²
2·x² + 9·x + 4
2·x² + 8·x
x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)
The width of the box = (x + 4)
The length of the box = (x + 1)
The height of the box = (x + 1).
Answer:
Estimate = 0.4
Quotient = 0.355 ---> Approximated to nearest thousandth
Step-by-step explanation:
Question like this is better answered using attachment;
See Attachment
When 1.066 is divided by 3,
The quotient is 0.3553......
When estimating to tenths,
We stop the quotient at 0.35 then round it up.
This gives 0.4
When estimating to nearest thousandth,
We stop the quotient at 0.3553 then round it up;
This gives 0.355
Answer: - 2
Step-by-step explanation:
(1/36)^n = 216^n+5
(1/6^2)^n = (6^3)^n+5
(6^-2)^n = (6^3)^n+5
Opening the brackets
6^-2n = 6^3n+15
-2n = 3n + 15
collecting like terms
-2n - 3n = 15
-5n = 15
divide both sides by - 5
n = 15/-5
n = - 3
Answer:
Length of rectangular patio = 28 feet
Step-by-step explanation:
Given that:
Length of rectangular patio = x
Width of rectangular patio = 
Perimeter of rectangular patio = 
Perimeter of rectangular patio = 2 (length + width )
Putting values in the formula
Dividing both sides by 12
Hence,
Length of rectangular patio = 28 feet
