Answer:
(1 - 4x)³
Step-by-step explanation:
The first 2 terms are a difference of cubes and factor in general as
a³ - b³ = (a - b)(a² + ab + b²), thus
1 - 64x³
= 1³ - (4x)³
= (1 - 4x)(1 + 4x + 16x²)
Thus
1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms
= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)
= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms
= (1 - 4x)(1 + 4x + 16x² - 12x)
= (1 - 4x)(1 - 8x + 16x²) ← perfect square
= (1 - 4x)(1 - 4x)²
= (1 - 4x)³ ← in factored form
Answer:
a) If the diameter is 400 feet wide, then the radius is half that, which is 200 feet wide.
b) The circumfernce is π times the diameter, which is 400 feet. 400×π≈1256.64
c) She is not correct. She squared 400, which is 160000, when she should have squared 200, which is 40000. Then, multiply by π.
40000 × π ≈ 125663.7
Answer:
the bottom right
Step-by-step explanation:
48 fluid ounce it is $0.40 per fl oz, while the other one is $0.60 per fl oz
