Answer:
x^2 + (x + 2)^2 = 202
x^2 + x^2 + 4x + 4 = 202
2x^2 + 4x + 4 = 202
2x^2 + 4x - 198 = 0
x^2 + 2x - 99 = 0
x = -2/2 ± √((2/2)^2 - (-99))
x = 9 or x = -11
-11 is not a positive number so the number is 9.
Answer:
One fourth of the caps are blue with tassels.
Step-by-step explanation:
Take 7/11 of the caps with tassels, which boils down to (7/11)(11/28), or 1/4.
One fourth of the caps are blue with tassels.
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
There are 16 ounces in a pound. So in 4 1/8 pounds, there would be 66 ounces.
