The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
m = 30 - 3r = 0
r = 10
The domain is therefore [0, 10].
The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30].
The function is discrete because r and m cannot take every value in the number line.
Step-by-step explanation:




Answer:
is not possible
Step-by-step explanation:
<u><em>The question in English is</em></u>
we are building a road that links the points a = (12 ,21) and b =(17,23) another point is in c =(3,9) it is possible that a single road allows to join these three points?
we know that
The formula to calculate the slope between two points is equal to

step 1
Find the slope ab
we have
a = (12 ,21) and b =(17,23)
substitute


step 2
Find the slope ac
we have
a = (12 ,21) and c =(3,9)
substitute


simplify

step 3
Compare slopes ab and ac
The slopes are different
That means ----> is not possible that a single road allows to join these three points
Answer:
Rate of slower bus; 90 km/h
Rate of faster bus; 102 km/b
Step-by-step explanation:
We know that formula do distance is;
Distance = speed/time
We are told that One bus travels 12h slower than the other.
Let speed of slower bus be x.
Thus;
Speed of faster bus = x + 12
Speed of slower bus = x
After 3 hours, distance by faster bus = 3(x + 12)
Speed of slower bus = 3x
Since the towns are 576 km apart, then;
3(x + 12) + 3x = 576
Divide through by 3 to get;
x + 12 + x = 192
2x + 12 = 192
2x = 192 - 12
2x = 180
x = 180/2
x = 90 km/h
Faster bus speed = 90 + 12 = 102 km/h
Answer:
8
Step-by-step explanation:
50 is at rank 8.5, but since its a 53% chance. it would be below the .5 area and round to 8