Answer:
10. x = 3 ± 2√6
11. x = 4 ± √6
12.
and 
Step-by-step explanation:
10. Given the quadratic equation (x - 3)² + 14 = 38
We have to solve it by square root.
Now, (x - 3)² + 14 = 38
⇒ (x - 3)² = 38 - 14 = 24
⇒ (x - 3)² = (2√6)²
Now, square rooting both sides we get,
(x - 3) = ± 2√6
⇒ x = 3 ± 2√6 (Answer)
11. Given the quadratic equation x² - 8x + 10 = 0
We have to solve it by completing the square.
Now, x² - 8x + 10 = 0
⇒ x² - 2(4)(x) + 4² = 4² - 10
⇒ (x - 4)² = (√6)²
Now, square rooting both sides we get,
x - 4 = ± √6
⇒ x = 4 ± √6 (Answer)
12. Given the quadratic equation 5x² + 7x - 3 = 0
We have to solve it by quadratic formula.
Hence,
and 
⇒
and
(Answer)
Answer: 
Step-by-step explanation:
By definition the domain of an inverse function
is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).
If you have a function
, then to find the inverse function, follow these steps:
1. Make 


2. Solve for the variable "x":

3. Exchange the variable "x" with the variable "y":

4. Exchange "y" with
. Then the inverse function is:

Answer:
C
Step-by-step explanation:
The number of tips that the server gets is <em>dependent</em> on how many customers she serves.
Hope this helps!