Answer:
x = 9
Step-by-step explanation:
Given
5x - 31 = 23 - x ( add x to both sides )
6x - 31 = 23 ( add 31 to both sides )
6x = 54 ( divide both sides by 6 )
x = 9
 
        
                    
             
        
        
        
Answer:Since the volume of a cylinder formula involves the radius, you can solve for the radius and double it to find the diameter.
Write the formula. Volume=π⋅radius2⋅height.
Substitute the dimensions of the shape into the formula. Use 3.14 as the value for π. 791.28=3.14⋅r2⋅28.
Solve the equation for the variable.
Step-by-step explanation:
 
        
                    
             
        
        
        
Circumference of Circle=C, =2(pi)(radius)
Radius of Circle=r
Side of square=x
f(x)=area of circle
g(r)=area of square
16 feet=C+4x
C=16-4x
2(pi)(r)=16-4x
2(pi)(r)=2(8-2x)
(pi)(r)=8-2x
r=(8-2x)/(pi)
x=(8-(pi)r)/2
f(x)=(pi)(r^2)
f(x)=(pi)((8-2x)/(pi))^2
f(x)=((8-2x)^2)/(pi)
f(x)=((64-32x+4x^2))/(pi)
g(r)=((8-(pi)r)/2)^2
g(r)=((64-16(pi)r+(pi)^2(r^2))/4
        
             
        
        
        
Answer:
yep thats right i think sorry hop i could help
 
        
             
        
        
        
Answers:
Domain = {-24, -6, -4, 4, 21, 47}
Range = {24, 55, 45, 77, 3, 93}
Don't forget about the curly braces.
The domain is the set of all allowed x inputs. So we simply list all the x coordinates of the points given. That's all there is to it. The range is the list of all possible y output values, so we just list the y coordinates. Toss out any duplicate y values. Sorting each set is optional because order doesn't matter in a set.