<h2>
Hello!</h2>
The answers are:
a) The name of function is f.
b) Independent variable : x , dependent variable : y/f(x)
c) The rule that assings exactly one output to the very input is called "function".
d) ![f(4)=\frac{3}{4+2}=\frac{3}{7}](https://tex.z-dn.net/?f=f%284%29%3D%5Cfrac%7B3%7D%7B4%2B2%7D%3D%5Cfrac%7B3%7D%7B7%7D)
<h2>Why?</h2>
Usually, the name of a function
is what is out of the parentheses, so the name of the function is "f".
The independent variable of a function is the variable we assign the different values, so, for this case, the independent variable is designated with the letter "x"
The dependent variable is the function itself, it's also called "y", it's called "dependent" variable because its values will always depend on the "independent variable"
A function is a rule that states that there is exactly one output (range value) to the very input (domain value). A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.
Evaluating a function consists of assign values to the independent variable(x), hence:
![f(4)=\frac{3}{4+2}=\frac{3}{7}](https://tex.z-dn.net/?f=f%284%29%3D%5Cfrac%7B3%7D%7B4%2B2%7D%3D%5Cfrac%7B3%7D%7B7%7D)
Have a nice day!
Y=19, It's a straight horizontal line.
The difference between the average speed in km/h of their trains are 53.538 km/h.
Step-by-step explanation:
The given is,
Davit's train travels 90 km in 50 minutes.
Mila's train travels 210 km. It leaves at 12:05 and arrives 13:35.
Step:1
From the given,
Time required to milas train travels 210 km
= 12:05 - 13:35
= 1.30 hours
Step:2
Time to Davit's train travels 90 km is need to convert in hours from minutes,
= 50 minutes
=
hours
= 0.833 hours
Step:3
Average rate of Davits train,
= ![\frac{Distance traveled}{Time taken}](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%20traveled%7D%7BTime%20taken%7D)
= ![\frac{90}{0.833}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B0.833%7D)
= 108 km/h
Step:4
Average rate of Mila's train,
= ![\frac{Distance traveled}{Time taken}](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%20traveled%7D%7BTime%20taken%7D)
= ![\frac{210}{1.30}](https://tex.z-dn.net/?f=%5Cfrac%7B210%7D%7B1.30%7D)
= 161.538 km/h
Step:5
The difference between the average speed of the both trains in km/h,
= 161.538 - 108
= 53.538 km/h
Result:
The difference between, the average speed of their trains are 53.538 km/h.