Answer:
-37x+26
Step-by-step explanation:
The x-coefficients have the sequence ...
-2, -7, -12, ...
which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...
-2 + (-5)(8 -1) = -37
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The constants have the sequence ...
5, 8, 11, ...
which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...
5 +(3)(8 -1) = 26
The 8th term of the sequence is -37x +26.
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The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
In the above, we have used n=8 to find the 8th term.
Answer: x=sqrt10-2, x=-sqrt10-2
Step-by-step explanation: square root both sides of the equation.
x+2=sqrt10,-sqrt10
subtract 2 from both sides of the equation
x=sqrt10-2, -sqrt10-2
Answer: 756
Step-by-step explanation:
The president can be elected in 28 different ways. After a student is elected president, there are 27 students left to elect a vice president from. So there are 28 x 27 = 756 different arrangements.
1/6 plus 1/18, which equals to 2/9. Suppose we roll 4 on the first roll (the probability of rolling 4 is 1/12). On each successive roll the probability of rolling 7 is 1/6 and the probability of rolling 4 is 1/12.
[i.dk how this can help but if you got a 7 or 11 rolling on the first round you would probably win]