54044.55 ÷ 100 = 540.4455
        
                    
             
        
        
        
5; 6; 4; 14; 6
12; 2; 2; 68; 21
4; 10; 6; 32; 34
3;4;66;2;5
36;18;3 1/2;12/5;2
that's all i believe
        
                    
             
        
        
        
you first plug (substitute) in y 
-3x - 3(-5x-17)=3
then distribute 
-3x+15x+51=3
now combine like terms
12x+51=3
subtract to get 12x by itself
12x=3-51 or 12x=-48 
lastly divide by 12 to find x
12x/12=-48/12
x=-4 
now find y by plugging x into the other equation 
y=-5(-4)-17 
y=3
(-4,3)
 
        
             
        
        
        
Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral

The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75
 
        
             
        
        
        
Answer:
k12
Step-by-step explanation: