<h3>
Answer: -7</h3>
Explanation:
Pick any term. Subtract off the previous one to find the common difference.
- term2 - term1 = 6-13 = -7
- term3 - term2 = -1-6 = -7
- term4 - term3 = -8-(-1) = -8+1 = -7
And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.
We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.
Divide both sides by -3, and replace 
with 
. Then
Factorize the quadratic in to get
which in turn means
But 
for all real 
, so we can ignore the first solution. This leaves us with
If we allow for any complex solution, then we can continue with the solution we ignored:
Answer:
x > -99/4
Step-by-step explanation:
I must assume that you meant (-2/5)x -9<9/10.
This inequality has 3 terms. The LCD is 10. Multiply each term by 10 and reduce the result:
10(-2/5)x - 10(9) < 10(9/10), or:
-4x - 90 < 9
Adding 90 to both sides results in:
-4x < 99
Here we must divide by a negative number (that is, by -4). This requires reversing the direction of the inequality sign:
x > -99/4 is the final solution.
Answer:
126
Step-by-step explanation:
7x6=42
7x6÷2=42÷2=21
42+21=63
63+63=126
