The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.

Which dot plot could represent the same data as the frequency table?

The answer would be the second plot

Step-by-step explanation:

The frequency table show how many sick patients there are in a single age range. In the first two plots, the total dots between numbers 24, 25, 26, 27, 28, and 29 add up to 3, and the other 2 plots do not, so those are not correct.

When we add up the total of dots from ages 30-34 on the first plot, there are only 4 sick patients. On the second graph, there are 6 total patients in that age range. Therefore, the dot plot that corresponds with the frequency table is the second one.

f

step-by-step explanation:

f

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!