Answer:
Option b is correct
.
Step-by-step explanation:
Domain is the set of all possible values of x where function is defined.
Given the function:
To find the domain of the given function:
Exclude the values of x, for which function is not defined
Set denominator = 0
By zero product property;
and
⇒x = 0 and
⇒x = 0 and
Therefore, the domain of the given function is:
Answer:
The initial amount Sam charges is [$4 greater than] the initial amount Sully charges. Sam’s hourly rate is [$2 less than] Sully’s hourly rate.
A graph is attached for reference.
Step-by-step explanation:
Given is the graph that represents the amount in dollars that Sam charges in terms of the number of hours he works.
Where two points are (0,40) and (1,60).
Finding the slope,
Let us find the equation now,
Substituting (0,40) as (x1,y1) and slope m = 20
Here the 'y' intercept represents the initial charge of Sam.
On comparing the equations of Sam and Sully we observe that Sam initial charge is dollars.
And Sully's initial charge is dollars.
Thus Sam's initial charge is $4 greater than Sully's.
Similarly,
Slope represents their per hour charge.
The coefficient of 'x' represents their slope,
Slope in case of Sam,
is
And
Slope in case of Sully,
is
Thus on observing the slope 20 and 22, we say that the per hour charge of Sam is $2 less than that of Sully's.
Jessica's annual salary is $68571.43.
Data;
This is the ratio of a number to the entire value and multiplied by 100
The percentage set aside for housing is given as 28% which is $1600.
Let find 28% of x which is equal to 1600
cross multiply both sides and solve for x
Divide both sides by the coefficient of x
Her monthly income is $5714.28.
Let's multiply this by 12 (months in a year) to determine her gross monthly income.
From the above calculations, Jessica's annual salary is $68571.43.
Learn more on percentage here;