Irving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to Bananatown, located 109 miles east and 24 miles north. Carol lives in Coconutville, located 73 miles east and 49 miles south of Appletown. Highway 86 runs directly north from Coconutville, and junctions with Highway 42 before heading further north to Durianville. Carol and Irving are planning to meet up at park-and-ride at the junction of the highways and carpool to Bananatown. Irving leaves Appletown at 8am, driving his usual 45 miles per hour. If Carol leaves leaves Coconutville at 9am, how fast will she need to drive to arrive at the park-and-ride the same time as Irving?

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!

i think 5 miles per hour

step-by-step explanation:

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step-by-step explanation:

faster, im not sure why but i know it is faster