Question

qUESTION?

Answer 1

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

Answer 2

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

Answer 3

its c

Answer 4

right?

Answer 5

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?

Answer 6

2?

Answer 7

that's right!

Answer 8

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?

Answer 9

-2?

Answer 10

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

Answer 11

B!

Answer 12

correct!

Answer 13

thankkk youuu!!

Answer 14

:)

Answer 15

could you help me with 2 more please? @Michele_Laino

Answer 16

yes!

Answer 17

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

Answer 18

I'm thinking B

Answer 19

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

Answer 20

-4x + 1y =1?

Answer 21

I got this:
\[ - x + 4y = 4\]

Answer 22

ill go with what you have since your more experienced

Answer 23

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

Answer 24

do i graph what you got?

Answer 25

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

Answer 26

so, what is that inequality in our case?

Answer 27

b??

Answer 28

yes!

Answer 29

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

Answer 30

ok!

Answer 31

wait

Answer 32

wrong attachment!

Answer 33

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?

Answer 34

8x -5y= 11

Answer 35

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

Answer 36

B

Answer 37

right?

Answer 38

right!

Answer 39

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

Answer 40

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

Answer 41

right?

Answer 42

what do you mean?

Answer 43

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

Answer 44

we have completed our exercise

Answer 45

its ok lol. thanks though. i really appreciate it

Answer 46

:)