The cost in dollars to manufacture x pairs of shoes is given by 12,000+19x. This month, the manufacturer produced 1000 more pairs of shoes than last month. The average cost per pair dropped by $0.43.

Write an expression for the average cost per pair of shoes.

The expression for the average cost per pair of shoes is;

12000/(1000+x) + 19 = 12000/x + 19 - 0.43

Cost per pair of shoe is $21.067

Step-by-step explanation:

Here we have cost of x pair of shoes = 12000 + 19x

Therefore the average cost = 12000/x + 19

When x + 1000 is produced we have

x + 1000 = 12000 + 19(1000+x)

Therefore average cost = 12000/(1000+x) + 19

Therefore 12000/(1000+x) + 19 = 12000/x + 19 - 0.43

Therefore x = 4806.315 and we have

5806.3 = cost $ 122320

Which gives the cost per pair = $21.067.

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!

mean, 40.6

step-by-step explanation: