Add 2y to both sides; subtract 7 from both sides; double each term in the resulting equation.
Multiply numerator and denominator by the complex conjugate of 1-2i; namely by 1+2i.
Note that (1-2i)(1+2i) = 1 + 4 = 5; i.e. it no longer depends on i.
See if if you can take it from there.
None of your choices provide the correct solution to what you have written!
3n+2 + 3n+3 - 3n+1 → 3n+1(31 + 32 - 30) → 3n+1(3 + 9 - 1) → 11*3n+1
I think you must have meant 3n+2 / (3n+3 - 3n+1) → 31 / (32 - 30) → 3 / (9 - 1) → 3/8 (where 3n+1 has been factored out of the terms in both numerator and denominator).
Perhaps this graph will help:
If a = 1 there are solutions x = -1 and x = 2
If a = -1 the quadratic reduces to a linear equation with solution x = -4
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Or look at it as 100% of 180 + 10% of 180 + 5% of 180
100% of 180 = 180
10% of 180 = 18
5% of 180 = Half of 10% of 180 = 18/2 = 9
180+18+9 = 207
The question is: "What is the coefficient of a4b4 in the expansion of (a2/3 + 2b)6?"
In general: (x + y)6 = x6+6*x5*y+15*x4*y2+20*x3*y3+15*x2*y4+6*x*y5+y6
In your case x = a2/3 and y = 2b
I'm sure you can take it from here.
"Let f(x) be a function which contains 2 in its domain and range. Suppose that f(f(x)) * (1+f(x)) = -f(x) for all numbers x in the domain of f(x). What is the value of f(2)?"
\(f(f(x))*(1+f(x))=-f(x)\\f(f(x))=\frac{-f(x)}{1+f(x)}\\\text{Let }y=f(x)\\f(y)=\frac{-y}{1+y}\\f(2)=\frac{-2}{1+2}\rightarrow -\frac{2}{3}\)
1 Pascal is 1 Newton per square meter, so 124500/1.5 N/m2 = 83000 Pa
You will need to specify what Z1 and Z2 are!