## anonymous one year ago qUESTION?

1. anonymous

2. Michele_Laino

your sequence, is an arithmetic sequence, whose constant is: -42-(-38)=-38-(-34)=-4

3. Michele_Laino

so we can write the general formula of the n-th term as below: ${a_n} = {a_1} + \left( {n - 1} \right)d$ where a1 is the first term and d=-4

4. anonymous

its c

5. anonymous

right?

6. Michele_Laino

now, if we set n=10, we can write this: $\begin{gathered} - 34 = {a_1} + 9 \times \left( { - 4} \right) \hfill \\ \hfill \\ - 34 = {a_1} - 36 \hfill \\ \end{gathered}$ what is a1?

7. anonymous

2?

8. Michele_Laino

that's right!

9. Michele_Laino

by definition, the second term is: $\begin{gathered} {a_2} = {a_1} + d \hfill \\ {a_2} = 2 + \left( { - 4} \right) \hfill \\ \end{gathered}$ what is a2?

10. anonymous

-2?

11. Michele_Laino

that's right! so, what is the right option?

12. anonymous

B!

13. Michele_Laino

correct!

14. anonymous

thankkk youuu!!

15. Michele_Laino

:)

16. anonymous

could you help me with 2 more please? @Michele_Laino

17. Michele_Laino

yes!

18. anonymous

19. anonymous

20. Michele_Laino

first question: the equation of your line is: $\Large \frac{x}{{ - 4}} + \frac{y}{1} = 1$

21. anonymous

I'm thinking B

22. Michele_Laino

we have to rewrite that equation in this form: ax+by=c what do you get?

23. anonymous

-4x + 1y =1?

24. Michele_Laino

I got this: $- x + 4y = 4$

25. anonymous

ill go with what you have since your more experienced

26. Michele_Laino

it is a simple computation, if I multiply both sides by 4, I get this: $\Large 4 \times \left( {\frac{x}{{ - 4}} + \frac{y}{1}} \right) = 4 \times 1$ please simplify

27. anonymous

do i graph what you got?

28. Michele_Laino

our points, namely the shaded region, is represented by the subsequent inequality: ax+by>c

29. Michele_Laino

so, what is that inequality in our case?

30. anonymous

b??

31. Michele_Laino

yes!

32. anonymous

OMGGG THANK YOUUU!! can you help me with the second one too pls?!

33. Michele_Laino

ok!

34. anonymous

wait

35. anonymous

wrong attachment!

36. anonymous

37. Michele_Laino

second question: If i sum, side by side, the first and the second equation together, I get this: $\Large \left( {x + 3y} \right) + \left( {7x - 8y} \right) = 5 + 6$ please simplify, what do you get?

38. anonymous

8x -5y= 11

39. Michele_Laino

that's right! so what is the right option?

40. anonymous

B

41. anonymous

right?

42. Michele_Laino

right!

43. anonymous

THANK. YOU. SO. MUCHHH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

44. Michele_Laino

now we have to find the solutions of this system: $\left\{ \begin{gathered} 7x - 8y = 6 \hfill \\ 8x - 5y = 11 \hfill \\ \end{gathered} \right.$

45. Michele_Laino

right?

46. anonymous

what do you mean?

47. Michele_Laino

sorry, I believed that we have to find the solutions also

48. Michele_Laino

we have completed our exercise

49. anonymous

its ok lol. thanks though. i really appreciate it

50. Michele_Laino

:)