Actually answer or I will report please. Tara was hiking up a mountain. She started her hike at an elevation of 1200 meters and ascended at a constant rate. After 4 hours, she reached an elevation of 1700 meters. Let y represent Tara's elevation (in meters) after x hours. What is the equation of the line that models the relationship between the elevation and number of hours.

option 1

Step-by-step explanation:

she starts at 1200 so that is the base and if she steadily ascends for 4 hours to reach 1700m that means she travelled 500m in 4 hours so we can divide them to get 125 m per hour.

4. y= 4x + 500

Step-by-step explanation:

4 represents x hours and 500 represents the distance she has gone because she started at 1200 and ended up at 1700. 1200 + 500 = 1700.

Brainliest Please

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!

246

step-by-step explanation: