3. We can see that 
1+100=101
2+99=101
3+98=101
.................
and so on
From 1 to 100, there are 50 pairs that has the sum is 101
Z=101×50=5050
4. We can see that
1-2=-1
3-4=-1
5-6=-1
...........
and so on
There are 10 pairs that has sum is -1
Z= 10×(-1)=-10
        
             
        
        
        
Number of boys enrolled is 105
<em><u>Solution:</u></em>
Given that, At a local preschool there is s as ratio of 3 boys to every 4 girls
There are 245 total preschoolers
Ratio of boys and girls = 3 : 4
Number of boys : number of girls = 3 : 4
Let the number of boys be 3x
Let the number of girls be 4x
Total number of preschoolers = 245
Therefore,
number of boys + number of girls = 245
3x + 4x = 245
7x = 245
x = 35
Number of boys = 3x = 3(35) = 105
Thus number of boys is 105
 
        
             
        
        
        
ALL LINES CAN BE REPRESENTED IN THE FORM  .
.
We know that:

and

Observe that:

So:

But we know that  , so:
, so:




Since:



So the line is:

 
        
             
        
        
        
The correct answer should be 3.
        
             
        
        
        
First what you should do for this case is to rewrite the expression carefully to find the correct answer.
 You must respect the properties of the roots.
 Group the terms correctly.
 Answer option 2 See attached graph.