The trick with answering your 10s, 100s, 1000s, etc, is just adding zeroes onto the ends of the first number. So, since this is 14 times 1000, you would add 3 zeroes onto 14. So your answer is 14,000. Hope this helped!
Since the exponent 9 refers to both f and g, it is quite simple to find the product of this expression - you just raise both f and g to the power of 9.
So, to write it down, the correct answer should be: f^9 g^9
A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -12 ----> add 8 from both sides
x + 12 = 0
We can do the same for the other zero.
x = 2 ----> subtract from both sides
x - 2 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 12)(x - 2)
f(x) = x^2 + 12x - 2x - 24
f(x) = x^2 + 10x - 24
The answer to your questions 36.576 meters
