P(x)=f(x)*g(x)
P(x)=(x-400)(1,200-2x)
P(x)=1,200x-2x^2-480,000+800x
P(x)=-2x^2+2,000x-480,000
Answer: Option <span>D. P(x) = -2x2 + 2,000x - 480,000</span>
        
                    
             
        
        
        
Its a square pool and its perimeter is 100 yards.
We know that a square has 4 sides with the same length so we can give a square perimeter by the sum of their 4 sides
Lets call the side "l" and since we have 4 of them we need to sum it 4 times
l + l + l + l = perimeter
4l = perimeter
We know the perimeter
4l = 100
Divide both sides by 4
4l/4 = 100/4
l = 25
So the side length is equal to 25 yards
 
        
             
        
        
        
Answer:
A= 41°   a=9.84...  b=11.32...
Step-by-step explanation:
given B = 49° and C = 90°
and A + B + C = 180
so  49+90+A=180
A= 41°
we also know c (small)  is 15 units
and maybe you know this  SOH CAH TOA?   no, i'm not calling anyone names :P  this is just the mnemonic to memorize how sin , cos and tan fit sin(Ф)=Opp/Hyp   Cos(Ф)=Adj/Hyp  Tan(Ф)=Opp/Adj
Hyp is the hypontenuse of the triangle ( the long side). Opposite (Opp) means the side opposite from what ever angle you are starting at..adjacent (Adj) means what ever angle is next to where you are starting from. 
use Cos(49) to find the side a
a is an adjacent side to the 49 angle.  We know the Cos and we know the Hyp .. so solve for adj...  
Cos(Ф)=Adj/ Hyp
Hyp*Cos(Ф)=Adj    
15*Cos(49)= Adj
9.84...=Adj=a
now lets' use sin for the opposite side or b
sin(Ф)=Opp/Hyp
Hyp*Sin(Ф) = Opp
15*sin(49)= Opp
11.32...= Opp =b
  
 
        
             
        
        
        
Answer:
x = 2 ; y = 3 
Step-by-step explanation:
3x = 6 
x = 2 
4y = 12 
y = 3