For questions 9 through 12, plug in the term you're looking for in for x: 9. y=10(20)-2=298 10. y=10(9)-2=88 11. y=5(2^5)=160 12.y=5(2^7)=640
For questions 13 through 16, plug the values 1 through 5 in for x, one at a time: 13. y=4^1=4, y=4^2=16, y=4^3=64, y=4^4=256, y=4^5=1,024 14. y=(-3)^1=-3, y=(-3)^2=9, y=(-3)^3=-27, y=(-3)^4=81, y=(-3)^5=-243 15. y=-3^1=-3, y=-3^2=-9, y=-3^3=-27, y=-3^4=-81, y=-3^5=-243 16. y=10^1=10, y=10^2=100, y=10^3=1,000, y=10^4=10,000, y=10^5=100,000
For question 17, plug 4 in for n: 17. f(4)=5^4=625
Both graphs have the same slope, that is the same, but the thing that is different is he second equation starts at a y-int of -7, versus the first starting at 0.
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.