Answer:
20 feet
Step-by-step explanation:
1st piece = x
2nd piece = 2x
3rd piece = 6x
x+2x+6x=180
9x=180
x=20
so the first piece is 20 feet, the second is 40, and the third is 120.
 
        
                    
             
        
        
        
Concave up is U-shaped. 
There will be a inflection/critical point f'(x) =0 then a negative slope f'(x) = neg then another inflection/critical point f'(x) =0 at the bottom of the U-shape then a positive slope to last inflection/critical point. The interval for the Concave Up shape is the first and last inflection points. 
        
             
        
        
        
Answer:
Step-by-step explanation:
1) 4x + 3 <= 3x - 5
Subtract 3 from both sides
4x + 3-3  <= 3x - 5 -3
4x  <= 3x - 8
Subtract 3x form both sides
4x - 3x <= 3x -3x - 8
x <= -8
 
        
                    
             
        
        
        
Answer:
Proportion of games an NFL team wins.
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
Step-by-step explanation:
Proportion is a relationship between measures.
Examples in real life are:
Proportion of games an NFL team wins.
For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.
Other possible examples are:
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
...
 
        
             
        
        
        
Answer:
A) y-4=-1/2(x+6)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-4)/(2-(-6))
m=-4/(2+6)
m=-4/8
simplify
m=-1/2
y-y1=m(x-x1)
y-4=-1/2(x-(-6))
y-4=-1/2(x+6)