Answer:
x ≥ 1  (how to graph is listed below)
Step-by-step explanation:
To find where we need to plot the line, we first need to solve the inequality for x:
-2x - 3 ≤ -5
(Add three to both sides)
-2x ≤ -2
(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)
x ≥ 1
To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign.     ex. ≥, ≤)
Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)
 
        
             
        
        
        
Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
 48x - ky = 11
<u>-48x        </u>  <u> -48x</u>
          -ky = -48x + 11
           
    
             
 
Slope:  
 
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  (k + 2)x + 16y = -19
<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>
                  16y = -(k + 2)x - 19
                   
                   
Slope: 
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  and
 and  are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.
 are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.
 *
 *   = -1
 = -1
 = 1
 = 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769
 
        
             
        
        
        
The answer is C ten years. 2.5 percent of 2000 is 50 so take 50 and divide it by 500 which equals 10
        
                    
             
        
        
        
1/2
Step-by-step explanation:
there are two numbers 3 and 6 so 2/6 is 1/3
 
        
             
        
        
        
Answer:
Step-by-step explanation:
r and h are the radius and height
Volume = πr²h = πr²4 = 2247
r ≈ 13.4 cm