The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞
<h3>How to determine the domain?</h3>
This is the set of input values on the table.
All input values (i.e. the x values) on the table are greater than 0 i.e. x > 0
Using the inequality notation, the domain of the table is x > 0
<h3>How to determine the range?</h3>
From the table, the logarithmic function outputs all zero, positive and negative numbers.
This means that the range is the set of all real numbers i.e. -∞ to ∞
Using the inequality notation, the range of the table is -∞ < f(x) < ∞
Read more about domain and range at:
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Answer:
70 m
Step-by-step explanation:
AB makes a 30-60-90 triangle with the wall.
AC makes a 45-45-90 triangle with the wall.
In a 30-60-90 triangle, the short leg (opposite of the 30° angle) is half the hypotenuse.
In a 45-45-90 triangle, the legs are the same length.
So the distance between the left wall and the laser is 60/2 = 30 m.
The distance between the right wall and the laser is 40 m.
The total distance is therefore 70 m.
A should be the correct answer. Let me know if I’m right!
To find the expected value of your gain in each prize, subtract the price of the ticket from the prize:
If the prize is $500: $500 - $2 = $498
If the prize is $250: $250 - $2 = 248
If the prize is $160: $160 - $2 = $73
But if you did not win any cash prize, you do not have any gain because
0 cash prize - $2 ticket = -$2 which is a loss