Domain is the set of numbers you can subsitute for the input (in this case x) and for it to be allowed (dividing by zero is not allowed so if you have y=6/x then x is not allowed to be zero, it can be anything else though)
ok, so from experience the x^2-4x-12 part is supposed to be all under the parenthaseeese and if so, go to part AAAAAAAAAAAAA
if it isn't and only x^2 is below the fraction, then go to BBBBBBBB
AAAAAAAAA

so the domain must be valid
one rule that we have is that you cannot divide by zero
therefor we find what numbers make the denomenator zero and don't allow them
x^2-4x-12=0
factor
(x-6)(x+2)=0
x-6=0
x=6
x+2=0
x=-2
so since -2 and 6 make the thingummy zero, we say that
domain={all real numbers except for -2 and 6}
BBBBBBBBBBBBBBB

so remember that you cannot divide by zero
therefor you have to make sure the deomenator is not equal to zero by finding those values and restricting them from the solution set
so
x^2=0
squaer root both sides
x=0
domain={all real numbers except for 0}
so if the x^2-4x-12 is under the dividing line, then the answer is domain={all real numbers except for -2 and 6}
if the x^2 only is under the dividing line then the answer is domain={all real numbers except for 0}
Answer:
A. 4,800 feet below sea level
Step-by-step explanation:
10,000 feet below sea level = -10,000 feet
"rises 5,200 feet" = +5,200 feet
=-10,000 + 5,200 = -4,800 feet
=4,800 feet below sea level.
Answer:
Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.
Step-by-step explanation:
Let, the company make x liters of drink A
The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .
Given drink A contains 20% real fruit.
Therefore x liters of drink A contains
liters
liters real fruit.
Drink B contains 5% real fruit juice.
(80+x) liters of drink B contains
liters
liter real fruit.
The company used 56.5 liters of real fruit juice to make Drink A and Drink B.
According to the problem,


⇒80+5x = 56.5×20
⇒80+5x=1130
⇒5x=1130-80
⇒5x=1050

⇒x=510
Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.
Answer:
n = 19/18
Step-by-step explanation:
Given:
11/6 = n + 7/9
Find n
11/6 = n + 7/9
Subtract 7/9 from both sides of the equation
11/6 - 7/9 = n + 7/9 - 7/9
11/6 - 7/9 = n
(99-42) / 54 = n
n = 57/54
n = 19/18