Answer:
x ∈ (-3, -1)
Step-by-step explanation:
In the graph, the vertical axis represents the y-value, while the horizontal axis represents the x-value.
y < 0 (y smaller than zero) happens in the region where the graph is below the horizontal axis.
Only by looking at the graph, we can see that y < 0 (the graph is below the horizontal axis) for the values of x in the interval (-3, -1)
Then all the values of x such that y < 0 are:
x ∈ (-3, -1)
division to 4 is the last step
In order to know at what price the two services offered would be the same, we can actually use the process of trial and error starting from 1 onwards. The first one is 50.45 per month plus a standard fee of 60 for installation. So this will be 60+50.45x (number of days). After that. there is the other one that has free installation but charges 57.95. So it can be expressed as 57.95x. Now after trial and error with numbers as x, I came upon 8. If x is 8, then the first one will be 60+50.45 (8) = 463.6. For the second, 57.95(8) will also equal to 463.6. So the day in which the two services will charge the same is during the 8th day.
6 times 10 is 60, keep in mind anything multiplied by 10, just add a 0 to it, and that is the answer.
Answer:
192 km
Step-by-step explanation:
Lets find the speed the train moves with in one hour
speed = distance/time
speed = 80 4/5 /1
speed = 80 4/5 km/hr
Now, lets find how much distance it will cover in 4 3/4 hours
distance = speed * time
distance = 80 4/5 * 4 3/4
distance = 192 km