Answer:
sqroot(111) is irrational.
Step-by-step explanation:
Natural are 1, 2, 3, 4...
Whole are 0, 1, 2, 3...
Irrational are decimals that don't end or repeat. Sqroot(111) is 10.535653752...
Nonreal have an i, the imaginary number.
Rational are fractions (or can be written as a fraction) or decimals that end or repeat.
Answer:
larger than 7 ounces
Step-by-step explanation:
Like when adding/subtracting fractions at any other time, you need a common denominator, in this case (x-1)(x+1)=x^2-1 so:
(2(x+1)+3(x-1))/(x^2-1)=4 multiply both sides by (x^2-1)
2x+2+3x-3=4x^2-4 combine like terms on left
5x-1=4x^2-4 subtract (5x-1) from both sides
4x^2-5x-3=0 using the quadratic formula for expediency
x=(5±√73)/8
x≈-0.443 and 1.693
Answer:
44000
Step-by-step explanation:
Let w be the initial value of Otto's internet stock, in dollars. At the beginning of the year, the total value of his portfolio is w+10,000 dollars. At the end of the year, the total value of his portfolio is 1.1w+9,000 dollars. Since increasing by 6% is equivalent to multiplying by 1.06, we have
1.06(w+10,000)=1.1w +9,000
Distributing and collecting terms, we find w=40,000. At the end of the year, his internet stock is worth 40,000* 1.1=44,000 dollars.
*credits: AoPS
