We are given with two equations bearing a square root sign within. In this case, the goal of f(x) is to have a value of x not greater than 1 and not less than -1. g(x) should have x only equal to positive numbers. Hence the domain for (f+g) is equal to the positive numbers greater than or equal to 1.in 2. we multiply both functions to give sqrt of x*(1-x2). the domain should be also positive numbers greater than or equal to 1.
Answer:
The answer is -(4/5)y - 3.
Step-by-step explanation:
The steps are :
Answer:
$104.27 is the amount at 3% and $20895.73 is the amount at 4.4%
Step-by-step explanation:
We are given that Josie owes $21000 in student loans.
Let x be principal at 3% rate of interest
Time = 1 year
Formula:
A=1.03x
Interest = Amount - Principal
Interest = 1.03x-x=0.03x
So, (21000-x) is the principal at 4.4% rate of interest
Formula:
A=21924-1.044x
Interest = 21924-1.044x-21000-x=924-2.044x
The total interest she owes for one year was $714.00
So, 0.03x+924-2.044x=714
x=104.27
So, $104.27 is the amount at 3%
The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73
Hence $104.27 is the amount at 3% and $20895.73 is the amount at 4.4%
Answer:
Situation 3 is not functional
Step-by-step explanation:
Here, we want to determine if there exists a functional relationship between the properties in each situation.
For there to exist a functional relationship, then one of the factors in the situation must be dependent on the other factor in the situation.
Let us consider the situations individually now;
Situation 1
There exists a functional relationship here. This is because the higher the minutes used, the higher the cell phone bill and the lower the minutes used, the lower the cell phone bill. This is because there exists a fixed rate of charge per minute
Situation 2
There exists a functional relationship here too.
This is because, the we cannot find the perimeter of the square without knowing the measure of the sides of the square. That is why there is a mathematical formula that links the perimeter of the square to the sides of the square.
In a case where we have the perimeter as P and the sides as L
Then the functional equation linking both is;
P(l ) = 4 L
Situation 3;
There is no functional relationship here. The amount owed per each credit card is tied to the credit card in question.
There is no way the total amount owed by a person is distributed across the number of credit cards the person have. Each credit card has its own money charged on it monthly due to the activities on it which is independent on the activities of the other credit cards