A) The domain remains the same.
Since, in y = - 2 f(x) , the y is whats being multiplied and therefore changed, not the x or domain.
Therefore D[-6,10] <span>
The range is what changes by a factor of -2.
If the original range was [-8,12], then the new one is
[(-8 x -2),(12 x -2)] = [16 , -24].
However, you must flip the numbers to make the interval true, giving you R [-24,16]</span>
That questions answer depends on the size and composition of the horseshoe
so their are 6 adults and 24 kids because when you add 18+6 and get 24
then you multiply 6(24) because adult tickets are 24 and get 144
then you multiply 24(12) because student tickets are half as much as parents so they are 12 and you multiply by 24 kids and get 288
then you add 288 student tickets total price +144 adult ticket total price =432 total cost fro all tickets
P(x)=R(x)-C(x)
=(-0.5x²+800x-100)-(300x+250)
=-0.5x²+800x-100-300x-250
=-0.5x²+800x-300x-100-250
=-0.5x²+500x-350 (2)
Each side is 9 cm. a square has equal sides, so 36 divided by 4= 9