Answer:
B. 18
Step-by-step explanation:
The 4 machines can produce x units in 6 days. This means they have a daily total rate of x/6 units per day. 
Since the machines are similar and that they work at the same rate, this means that the individual rates of each machine would be x/6/4 = x/24 units per day.
Now we are looking at producing 3x units in 4 days. This means that we want to produce 3x/4 units in a single day. Now, since each machine would work at a rate of x/24, we need to know the number of machines we need. To know this number, we simply divide what is to be achieved by the individual rate:
This is 3x/4 divided by x/24. This mathematically means 3x/4 * 24/x = 18 machines 
 
        
             
        
        
        
Answer:
radius = 6
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ←r is the radius
x² + y² = 36 ← is in this form
with r² = 36 ⇒ r =  = 6
 = 6
 
        
             
        
        
        
Answer:
x = 0 and x = 1 
Step-by-step explanation:
Given that,
A football is kicked into the air. The height of the football can be modeled by the equation :

Where
h is the height reached by the ball after x seconds
When it touches the ground, h = 0
So,

So, it will touch the ground at x = 0 and x = 1 seconds.
 
        
             
        
        
        
The first two negatives cancel out and you're left with positive 4. Now go inside the square root and do the exponent. -4*-4 = 16. Then do the -4*3*1 = -12. Do 16-12 = 4. now the square root of 4 = 2. at the dominator is 2*3 = 6. right now they problem should look like 4+- 2/ 6. from there you split the problem in two. so you have 4+2/6   &     4-2/6     then you solve both problems.
           6/6               2/6
             1                  1/3
1 & 1/3 are your answers. I hope this helped!