According to a national survey of asthma: On June 30, 2010, the number of residents of Florida who had been diagnosed with asthma at any time during their life was X. The population on June 30, 2010, was Y. During the same year, the number of new cases of asthma was Z. The point prevalence of asthma on June 30, 2010, using the midpoint population (population on June 30, 2010) as the denominator would be expressed as:a) (X/Y) × 100b) (Z/X) × 100c) (Z/Y) × 100d) (X*Z) x 100

a) (X/Y) * 100

Step-by-step explanation:

In this case, the relevant data would be the number of Florida residents who had been diagnosed with asthma at any time in their life (which would be X) and the population of Florida (which would be Y).

Therefore to know the% of diagnosed or the point prevalence of asthma, it is necessary to divide X / Y, because X is the specific and Y would be the general. Therefore, the answer is a) (X/Y) * 100

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!