$f(x)=\dfrac{x-9}{x^2-81}\\\\\text{The domain:}\\\\x^2-81\neq0\qquad\text{add 81 to both sides}\\\\x^2\neq81\to x\neq\pm\sqrt{81}\\\\x\neq-9\ \wedge\ x\neq9\\\\Answer:\ \boxed{\text{All real numbers except -9 and 9}}\to\boxed{x\in\mathbb{R}-\{-9,\ 9\}}$

7 0

3 years ago

Kedar earns a monthly salary of $2,200 plus a 3.75% commission on the amount of his sales at a men's clothing store. What would

fenix001 [56]

4,500 x 3.75% = 168.75

2,200 + 168.75 = He would earn $2,368.75 this month

Wish I had this job XD

4 0

3 years ago

Q # 6 please help to resolve

Rus_ich [418]

The numbers of choices in each category are multiplied together. We assume the order of paint choices matters: using color 1 in area A and color 2 in area B is not the same as using color 2 in area A and color 1 in area B.

P(7,2)*4*3*2 = 42*4*3*2 = 1008 ways

_____
P(n, k) = n!/(n-k)!
P(7, 2) = 7*6 = 42

4 0

2 years ago