Answer:5
Step-by-step explanation:
For any exponential function, f(x) = abx, the range is the set of real numbers above or below the horizontal asymptote, y = d, but does not include d, the value of the asymptote.
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
Answer:
Step-by-step explanation:
The two x angles on the right are supplementary which means they add up to 180 degrees
5x + 12 + 7x - 24 = 180
12x - 12 = 180
12x = 192
x = 192/12
x = 18
5x + 12 and y are corresponding angles and are therefore equal
5(18) + 12 = 90 + 12 = 102
Therefore y = 102
Answer:
Empirical probability
Step-by-step explanation:
Empirical probability is data collected from experiment and real-life situation.
The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.

- <u>Therefore, the correct answer is empirical probability.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:

Step-by-step explanation:
First of all we need to know the relation between 1 dollar and 1 cent in order to express everything in the units required in the question.
We know that
, so the amount paid for the item with single dollars has to be multiplied by 100 to express its value in cents.

Now that we have everything in cents, we can make the subtraction:

Replacing the value in cents we get:
