Answer: the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Step-by-step explanation:
since f(x) = x + 4 and g(x) = x - 1
then f/g = x + 4/x - 1
the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.
∴ x - 1 ≠ 0
the value of x when g(x) = 0 is
x - 1 = 0
x = 1
∴ x ≠ 1
Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Answer:
Step-by-step explanation:
So we have the expression:
Distribute. Multiply (4x+5) to each term:
Distribute:
Combine like terms:
Add and simplify:
And this is in descending order, so it's in standard form.
Answer:
1.42 hours
Step-by-step explanation:
In this case we must take into account that the speed would be to fill a pool for a time, that this case is in hours, therefore it would be like this:
1/5 for the first pipe
1/2 for the second pipe
Now, we will use both at the same time, therefore:
1/5 + 1/2 = 1 / x
0.7 = 1 / x
x = 1 / 0.7
x = 1.42
That is to say that if we use both we will take a total of 1.42 hours
the answer would be 80,because 800 divided 10 is 80.
Answer:
I and III only
Step-by-step explanation:
In the equation, the set number must be the price for shoes, as it does not increase whatsoever; only the amount of games played increases the price. The fixed price is 4.25, making II false. Since the price must increase with the number of games played, 5.75b must be the amount of money per game. 5.75 is the price of one game and b is the amount of games bowled. Therefore, only I and III are correct
