Answer:
, it is the amount of money earned per number of hours of work, x
Step-by-step explanation:
Here we have two functions:
This function represents the amount of money (the earning) per unit x
Then we have the function
which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.
Here we want to find the composite function
which means that we use the output of 
as input for 
. In this context, this means that the function represents the amount of money earned per number of hours of work, x.
Substituting g(x) into the x of f(x), we find:
Answer: The correct option is A.
Step-by-step explanation: We are given a polynomial which is a sum of other 2 polynomials.
We are given the resultant polynomial which is : 
One of the polynomial which are added up is : 
Let the other polynomial be 'x'
According to the question:
Solving the like terms in above equation we get:
Hence, the correct option is A.
Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45
Answer:
45 degree
Step-by-step explanation:
We are given that
Angle PSR=99 degrees
Angle PSQ=(3x+18) degrees
Angle QSR=(9x-27)degrees
According to question
Angle PSR=Angle PSQ+angle QSR
Substitute the values
Substitute the value of x
Angle PSQ=
Hence, the measure of angle PSQ=45 degree
Serious high school. This is one of the few differential equations I can solve.
The usual particular solution is 
because 
is its own derivative.
An independent solution is 
which has a negative sign in the first derivative which turns back to positive in the second.
The arbitrary linear combination spans the solution space:
But we only are asked for the basis.
Answer:
