Let the attendees in opposition be x. This means that the attendees in favour are x+6.
That means x+x+6=42, which is 2x+6=42, so 2x=36 and x=18. Therefore, there are 18 attendees who opposed it.
To find the X intercept make y =0. Then factor out a negative on the side with the equation for each of the terms, so it becomes
0=-(x^2+x+3)
0=(x^2+X+3)
0-3=(x^2+X)
-3=x(X+1)
-3=X, X intercept -3,0
-3=(X+1)
-4=X, X intercept -4,0.
These are possible X intercepts you can check by using quadratic formula as well.
Answer:
6.5
Step-by-step explanation:
Answer:
57, 53, 49, 45
Step-by-step explanation:
Substitute for the n for n=1,2,3,4 so the first term is 57-4(1-1) so =57-4(0) so
a(1) = 57-0 = 57 so that is the 1st term
2nd term 57-4(2-1) so =57-4(1) so a(2) = 57-4 = 53, etc.
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6) The graph in the attached figure
Step-by-step explanation:
Part 1) we have


The equation of the line into point slope form is equal to

substitute



Part 2) we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so

the slope of the line 1 is equal to

Find the slope m2


Find the equation of the line 2
we have


The equation of the line into point slope form is equal to

substitute



Part 3) we have

The equation of the line into point slope form is equal to

substitute



Part 4) we have

-----> y-intercept
we know that
The equation of the line into slope intercept form is equal to

substitute the values

Part 5) we have that
The slope of the line 4 is equal to 
so
the slope of the line perpendicular to the line 4 is equal to

therefore
in this problem we have


The equation of the line into point slope form is equal to

substitute



Part 6)
using a graphing tool
see the attached figure