Ka - ö © 1 6.4.3 test (cst): data and mathematical modeling a company produces items in small batches. the machinery needs to warm up before the items can be produced. the scatterplot shows the time needed to produce batches of different numbers of items. production time (minutes) (5.60) items produced based on the line of best fit, which of these statements is true? o a. it takes about 20 minutes for the equipment to warm up. o b. as the number of items in a batch increases by 1, the production time increases by 20 minutes. o c. it takes about 60 minutes for the equipment to warm up. o d. as the number of items in a batch increases by 1, the production time increases by 12 minutes previous

step-by-step explanation:

yes

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!

ou would have 12 of each

it would be a on edgenuit y

the diagram below is your final answer