TC072

Thank you CPhil and Guest! I get it now :)

Thanks Melody! 

1. Just divide by 2 to get y=-8x+10 or 8x+y=10

2. 2x+y=6

3. -6y=30-5x, 6y=5x-30, y=(5/6)x-5

4.2y=-4-3x, y=(-3/2)x-2

5. first multiply by 2 to get integers, 2y=3x+40, 2y-3x=40

Hope this helped :)

So for the beginning number we have 3 possibilities and the second number have 4 possibilities, the 3rd one have 3, the 4th one have 2, and there is only one possibility for 5, so there is 3*4! arrangements, however, since there is two 8s and two 0s, we have to divide by 2!*2!, which gets the final answer of 18. Hope this helped :)

G(x)=145+13.50x. Since 145 is needed to even open the GYA booth and 13.50 is the hourly wage. Hope this helped :)

circumferance= pi*diameter, so the radius is 8, 8*8=64, 64pi is the area for base, 192pi/64pi=3, and 3*3=9, the ratio of the heights are 9/30, which is 3/10. If you're confused just search up how to calculate the column of a cone. Hope this helped.

Correct me if I'm wrong, I think the answers are just factors of 90, which are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. so there are 12 possible measurements. Hope this helped

\(x^3<=3x, x^2=3, x=\pm\sqrt3\), hope this helped :)

So inversely proportional means that \(x^2y\) is always the same, and \(6\times6=36, 36\times27=972\), \(972/8=121.5\), so x is the square root of 121.5

So I think that since there is just 2 domains we can substitute it in the function, so I(x)=f(-1-1)/(-1-3))= 1/2, and I(x)=f(1-1)/(1-3))=0, so the 2 possible domains for I is 1/2 and 0. Not sure if this is correct or not.