Answer:
x>29
Step-by-step explanation:
Multiply each term by -1
-x * -1 < -29 * -1
x > 29
 
        
                    
             
        
        
        
Answer:
Horizontal distance = 0 m and 6 m
Step-by-step explanation:
Height of a rider in a roller coaster has been defined by the equation,
y = 
Here x = rider's horizontal distance from the start of the ride
i). 
       
       ![=\frac{1}{3}[x^{2}-2(3x)+9-9+24]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Bx%5E%7B2%7D-2%283x%29%2B9-9%2B24%5D)
       ![=\frac{1}{3}[(x^{2}-2(3x)+9)+15]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5B%28x%5E%7B2%7D-2%283x%29%2B9%29%2B15%5D)
       ![=\frac{1}{3}[(x-3)^2+15]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5B%28x-3%29%5E2%2B15%5D)
       
ii). Since, the parabolic graph for the given equation opens upwards, 
     Vertex of the parabola will be the lowest point of the rider on the roller coaster.
     From the equation,
     Vertex → (3, 5) 
     Therefore, minimum height of the rider will be the y-coordinate of the vertex.
     Minimum height of the rider = 5 m
iii). If h = 8 m,
     
     
     (x - 3)² = 9
     x = 3 ± 3
     x = 0, 6 m
     Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m
 
        
             
        
        
        
Answer:
105
Step-by-step explanation:
theres 3 feet in a yard
 
        
                    
             
        
        
        
Answer:
The correct option is;

Step-by-step explanation:
The given expression is presented as follows;
 
Which can be expanded into the following form;

From which we have;


Therefore, substituting the value of n = 50 we have;

 
Which gives;



Therefore, we have;
 .
.