Answer:
The domain of a function is the complete set of possible values of the independent variable.
In plain English, this definition means:
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain, remember:
The denominator (bottom) of a fraction cannot be zero
The number under a square root sign must be positive in this section
Step-by-step explanation:
Answer:
this would be 5
Step-by-step explanation:
beacuse it has a different answer every time
Answer:
See explanation
Step-by-step explanation:
4x = 12x + 32
Subtract 12x from both sides
-8x = 32
Divide each side by -8.
x = -4
Answer:
20 is 80% of 25
Step-by-step explanation:
We assume, that the number 25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25, so we can write it down as 100%=25.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=25
2) x%=20
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 20 is what percent of 25
100%/x%=25/20
(100/x)*x=(25/20)*x - we multiply both sides of the equation by x
100=1.25*x - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80
Answer:
Step-by-step explanation:
P(x) = R(x) - C(x)
Where,
P(x) = Total profit
R(x) = Total revenue
C(x) = Total cost
R(x)equals150.97 x minus 0.3 x squared
R(x) = 150.97x - 0.3x^2
Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.
C(x) = 4529.10 + 0.5x^2
P(x) = R(x) - C(x)
= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)
= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2
= 150.97x - 0.8x^2 - 4529.10
P(x) = -0.8x^2 + 150.97x - 4529.10
