Jeremy earns $15.00 per hour and is also paid $75.00 bonus.
what is the linear equation?

w = 15h + 75

Step-by-step explanation:

Given: Jeremy works $15.00 per hour and is paid $75.00 bonus

We can use the linear equation  for the work Jeremy has done at a rate of $15 per hour and will add $75 as a bonus. It will then find out the wage earn for those number of hours

let h = number of hours

Total Wages = w

Wages = Hourly earnings + bonus

For 1 hour, earning  = $15

For h hours, earning will be = 15h

Therefore the equation:

w = 15h + 75

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!

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.