Answer:
The domain of the function is all real numbers 
and the range is all positive real numbers 
Step-by-step explanation:
We have the following function 
and we want to find the domain and the range.
The function we have is an example of an exponential function 
with b > 0 and b ≠ 1. This types of functions in general have the following properties:
- It is always greater than 0, and never crosses the x-axis
- Its domain is the set of real numbers
- Its Range is the Positive Real Numbers
The domain of a function is the specific set of values that the independent variable in a function can take on.
When determining domain it is more convenient to determine where the function would not exist.
This function has no undefined points nor domain constraints. Therefore the domain is .
The range is the resulting values that the dependent variable can have as x varies throughout the domain. Therefore the range is .
We can check our results with the graph of the function.
Answer:
5 hours
Step-by-step explanation:
The formula to relate speed, distance and time is:
D = V * t
Where D is the distance, V is the speed and t is the time.
As they are in opposite directions, we need to sum the speed.
So the total speed is:
V = 63 + 59 = 122 mph
So using this value and V and using D = 610, we have:
610 = 122 * t
t = 610 / 122 = 5 hours
So they will be 610 miles apart after 5 hours.
Answer:
Step-by-step explanation:
Triangle proportionality theorem,
Answer:
The null and alternative hypothesis for this test are
Step-by-step explanation:
If we perform a hypothesis test, we can reject or not reject the null hypothesis.
To conclude that the tires have a decreased stopping distance (μ<215), we should state the null hypothesis 
and then go on with the analysis to reject it (or not).
If the null hypothesis is rejected, the claim of the manufacturer is rigth.
The alternative hypothesis would be 
, that would turn rigth if the null hypothesis is rejected.
