Answer:
Yes, 4 squared is a rational number.
Step-by-step explanation:
4 squared = 4 x 4 = 16
 
        
                    
             
        
        
        
A)  f(x) is decreasing because the base is less than 1.
      0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.
g(x) is increasing because the base is greater than 1.
you are multiplying by 4 each time, making the value bigger.
B )  The y-intercept is where x=0.
      Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.
    f(x) = 3 ,   g(x) = 6
C)  Just plug in x=4 to each function in a calculator.
 f(4) = 0.295
g(4) = 1536
        
             
        
        
        
Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10).  To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
 
        
             
        
        
        
Answer:
x<1.5
explanation: move 4 to other side subtract it with 26.5 then divide it by 15
 
        
                    
             
        
        
        
Hope this helps. <3 (sorry if it’s a little blurry)