Answer:
1665 hertz
Step-by-step explanation:
30 x 3.33 = 1 (1 meter) so 500 x 3.33 = 1665 (1 meter of movement)
 
        
             
        
        
        
Answer:
x-intercepts: (2, 0) and (−5, 0)  
y-intercept: (0, −10)
Step-by-step explanation:
y = x^2 + 3x − 10
y-intercept when x = 0 so y = -10, so y-intercept : (0, -10))
x-intercept when y = 0 so 
x^2 + 3x − 10 = 0
(x +5)(x - 2) = 0
x + 5 = 0; x = -5
x - 2 = 0; x = 2
So x-intercepts: (-5, 0) and (2,0)
 
        
             
        
        
        
Step-by-step explanation:
Take the first derivative 


Set the derivative equal to 0.




 or 

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function 

So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function


So the local min occurs at -2, at x=1
 
        
             
        
        
        
Perimeter is adding all 4 sides together:
8 + 8 + 9x + 9x
Simplify by coming like terms to get:
18x + 16 
The answer is d. 18x + 16