Answer:
x = -4
Step-by-step explanation:
3x + 5 = x - 3
Subtract x from each side
3x+5-x = x-3-x
2x+5 = -3
Subtract 5 from each side
2x+5-5 = -3-5
2x = -8
Divide each side by 2
2x/2 = -8/2
x = -4
 
        
                    
             
        
        
        
Answer:
The correct option is D)  .
 .
Step-by-step explanation:
Consider the provided cubic function.
We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.
A "zero" of a given function is an input value that produces an output of 0.
Substitute the value of zeros in the provided options to check.
Substitute x=-2 in  .
 .

Therefore, the option is incorrect.
Substitute x=-2 in  .
 .

Therefore, the option is incorrect.
Substitute x=-2 in  .
 .

Therefore, the option is incorrect.
Substitute x=-2 in  .
 .

Now check for other roots as well.
Substitute x=√2 in  .
 .

Substitute x=-√2 in  .
 .

Therefore, the option is correct.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
The length of one revolution of the sprocket is ...
   C = 2πr = 2π(1.5 in) = 3π in
Then the length of 3250 revolutions is ...
   3250(3π in) = 30,630.53 in
About 30,631 inches of chain travel past the sprocket in one minute.
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There are 12 inches in a foot, so the number of feet is ...
   30,630.53 in/(12 in/ft) = 2552.54 ft
About 2553 feet of chain travel past in one minute.