Solve for x:
x^9 = n x
Subtract n x from both sides:
x^9 - n x = 0
Factor x and constant terms from the left hand side:
-x (n - x^8) = 0
Multiply both sides by -1:
x (n - x^8) = 0
Split into two equations:
x = 0 or n - x^8 = 0
Subtract n from both sides:
x = 0 or -x^8 = -n
Multiply both sides by -1:
x = 0 or x^8 = n
Taking 8^th roots gives n^(1/8) times the 8^th roots of unity:
Answer: x = 0 or x = -n^(1/8) or x = -i n^(1/8) or x = i n^(1/8) or x = n^(1/8) or x = -(-1)^(1/4) n^(1/8) or x = (-1)^(1/4) n^(1/8) or x = -(-1)^(3/4) n^(1/8) or x = (-1)^(3/4) n^(1/8)
The awnser is 60 because
It is a cube so it has the smae amout of sides
Well if the flat fee is $4 and you pay $2 per mile and she spent a total of $32, the answer would have to be 14 miles
When exponents are separated by a parenthesis it means you need to add them. Because the parenthesis is around the entire number then you raise everything inside the parenthesis to the outside exponent. Then anything raised by 0 as an exponent is automatically 1.
You think of this visually as 3a*3a*3a= 27a^9 is your answer
1) In a proportion: y/x=k
k is your constant of proportionality.
x is your independent variable and y is your dependent variable.
Since you need 3 oz of flour for each 2 oz of sugar, y=3 and x=2.
So k=1.5 (3/2)
3)
a) y/x as a showed above. This question is very similar to #1.
b) y/x=k
