Cynthia is making a budget. She makes a monthly net income of $2,300; plus, she earns an additional $640 each month for providing weekend child care. She lists her dedicated expenses.

An employee working 40 hours per week earns a salary of $600 per week but gets a second job offer to work 40 hours per week, hourly at $20 an hour. Which position generates the most income and how much more does that position make? Show your work or explain how you got your answer.

Joshua Smith's income was $56,500. Compare his taxes due if he files as single to the amount due if he files as head of household. Show your work or explain how you got your answer.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: