Answer:
The number of different possible values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.
Step-by-step explanation:
Given : For an integer n, the inequality has no real solutions in x.
To find : The number of different possible values of n ?
Solution :
The given inequality is have no solution then the discriminant must be less than zero.
i.e.
Here, a=1, b=n and c=15
i.e.
The integer values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.
Answer:
-338
Step-by-step explanation:
So we have the sequence:
5, -2, -9, -16...
First, note that this is an arithmetic sequence.
This is because each individual term is the previous term <em>added</em> by a common difference.
We can see that this common difference is -7, because each subsequent term is 7 <em>less</em> than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.
So, to find the 50th term, we can write an explicit formula for our sequence.
The standard form for the explicit formula for an arithmetic sequence is:
Where a is the initial term, d is the common difference, and n is the nth term.
We can see that our initial term a is 5. And we also already determined that the common difference d is -7. So, substitute:
Now, to find the 50th term, all we have to do is to substitute 50 for n. So:
Subtract within the parentheses:
Multiply:
Subtract:
So, the 50th term is -338.
And we're done!
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.
Step-by-step explanation:
Have a good Day!
