Answer:
The number 0 is excluded from the domain of f(x) because f(x) is a rational function which is not defined if the denominator is zero.
Step-by-step explanation:
The Rational Function is defined as:
with Q(x) ≠ 0
Because a rational function is not defined when the denominator is zero.
In this case, Q(x) (the denomitador of the given function) is x. Therefore the domain of the given function is given by all real numbers except the restrictions of the function (where the function is not defined).
f(x) is not defined at x=0, that's why the zero is excluded.
Answer: just use a calculator ._.
Step-by-step explanation:
This is a very good question to know about. People who make tests really like it.
The way to solve it is to make the slower car stop and use the difference in speed = to the rate. then do it as an ordinary d = r*t problem.
The difference in speeds is 44 - 36 = 8 miles/ hour.
d = 260 miles
r = 8 mph
t = ???
t = d/r
t = 260/8
t = 32.5 hours.
Thats 32 1/2 hours.
Answer:
yes
Step-by-step explanation:
Using mixture formula:
Let volume be v, % be p
1 should be the first mixture, 2 should be the second mixture, 3 should be the final mixture.
p₁v₁ + p₂v₂ = p₃v₃
p₁ = 25%, v₁ = 40 p₂ = 60%, v₂ = ? p₃ = 30%, v₃ =?
Let v₂ = x, v₃ = total volumes = v₁ + v₂ = (40 + x)
Using:
p₁v₁ + p₂v₂ = p₃v₃
25*40 + 60*x = 30*(40 + x)
1000 + 60x = 1200 + 30x
60x - 30x = 1200 - 1000
30x = 200
x = 200/30
x = 20/3
Recall x = v₂, so she has to add 20/3 milliters of the 60% solution in order to obtain 30% solution.
I hope this explains it.