As we can tell, the first number is 3, so we'll have a y-intercept in our equation and overall. Secondly, we can tell it's increasing by 7 each time, so we can tell that's the rate. But, it won't just be 3+7x, if we plug 1 in, it would be 10 and not 3. We need to put in the parenthesis 3+7(x-1). If we put one in, we would receive three. Let's make sure this works.
3+7(5-1)
3+7(4)
3+28
31
31 is the fifth terms.
So the expression would be 3+7(x-1).
Let's find the 100th term.
3+7(100-1)
3+7(99)
3+693
696
So the 100th term would be 696.
Answer:
Lisa's team have played 24 home games and 25 away games.
Step-by-step explanation:
Given:
Let
represents games played at home.
also
represent games played away.
Total number of games played = 49
∴ 
Now according to given data:
Number of home games won = 
Number of away game won = 
Total games won =26
Hence

Now multiplying equation 1 by 3 we get,

Now Subtracting equation 2 by equation 3 we get,

Substituting value of x in equation 1 we get.

Hence Lisa's team have played 24 home games and 25 away games.
Positive 3, If You're starting at -6 and you add the first 6 it's at 0, now you have 3 more to add to make 9. And that gives you positive 3. or if you do 9 - 6 you can get your answer that way too.
Answer:
5/12
Step-by-step explanation:
12 pieces of cake is the original amount and 5 kids ate it 5 pieces that means 5/12 of the cake it gone.