Answer:
It costs $15 a month to play the video game.
The initial cost is $45.
The y-variable represents the cost in dollars.
The x-variable represents the number of months.
Step-by-step explanation:
If you break the function down, you're going to have:
<u>Total = Monthly Cost + Initial Cost</u>
In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:
- 15 for the first month (x = 1)
- 30 for the second month (x = 2)
- 45 for the third month (x = 3), and so on
Our initial cost is always going to be a set amount, thus our constant, $45.
This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.
Hope this helps!
Answer:
Step-by-step explanation:
The given function are;
f(x) = x² - 3·x - 12, and g(x) = -x - 12
Therefore;
g(-8) = -(-8) - 12 = 8 - 12 = -4
∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16
Therefore;
Answer:
48 + 12√3 units
Step-by-step explanation:
ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)
1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD = 12
2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)
P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units
