The outer exponent is 4 so there will be 5 terms all together. By rules of exponents
C(4,0)(3^4)(2^0)(x^8)(y^0) + C(4,1)(3^3)(2^1)(x^6)(y^3) + C(4,2)(3^2)(2^2)(x^4)(y^6) + C(4,3)(3^1)(2^3)(x^2)(y^9) + C(4,4)(3^0)(2^4)(x^0)(y^12)
The coefficient of the 3rd term: C(4,2)(3^2)(2^2) = 6 x 9 x 4 = 216
Remember that if f and g are inverses of one another, then
f(g(x)) = g(f(x)) = x
1/2. Take a = 0 and b = 1 (or any non-zero number) so that
f(x) = x + 0/1 ⇒ f(x) = x
If g is to be an inverse of f, we need
g(f(x)) = g(x) = x
so that c = 1 and d = 0.
3. With f(x) = x + a/b and g(x) = cx - d, we have
g(f(x)) = g(x + a/b) = c (x + a/b) - d = cx + ac/b - d
and of course, with a,b,c,d as before, we get g(f(x)) = x.
4. This would be a very uninteresting graph for the example I've cooked up here, just containing the line y = x...
Answer:
<1 = 73
Step-by-step explanation:
All triangle interior angles add up to 180 so:
<1 + 55 + 52 = 180
<1 + 107 = 180
<1 = 180 - 107
<1 = 73
If we know that the employee ears $200 for 14 goes of work we can divide 200 by 14 to figure out how much he is payed per hour. It isn't a full number, so we'll round to the fourth decimal place. That would give us $14.2858. Now that we know how much they are payed per hour, all we nee to do is multiply 14.2858 by 35, which gives us our answer, $500!
The employee is payed $500 for 35 hours of work.
