//I'll use the discriminant rule for this.
b^2 - 4ac = 0 when one real root
Therefore, k^2 - 4*3*4= 0
k^2 = 48
k= +-4√3
        
             
        
        
        
If I'm correct the answer would be C.) hope this help
        
             
        
        
        
                               time       *      rate          =       distance 
Downstream           4           *       x              =          4(x) 
Upstream                6           *     x - 2           =        6(x - 2)
distance downstream = distance upstream:
                               4(x) = 6(x - 2)
                                4x  = 6x - 12
                               -2x  =   -12
                                  x   =    6
Distance Upstream: 4x   = 4(6)   = 24
Distance Upstream: 6(x - 2)  = 6(6 - 2)   = 6(4)   = 24
Total distance traveled is Upstream + Downstream = 24 + 24 = 48
Answer: 48 miles
 
        
             
        
        
        
Answer:
P(B|A)=0.25  , P(A|B) =0.5
Step-by-step explanation:
The question provides the following data:
P(A)= 0.8
P(B)= 0.4
P(A∩B) = 0.2
Since the question does not mention which of the conditional probabilities need to be found out, I will show the working to calculate both of them.
To calculate the probability that event B will occur given that A has already occurred (P(B|A) is read as the probability of event B given A) can be calculated as:
P(B|A) = P(A∩B)/P(A)
       = (0.2) / (0.8)  
P(B|A)=0.25
To calculate the probability that event A will occur given that B has already occurred (P(A|B) is read as the probability of event A given B) can be calculated as:
P(A|B) = P(A∩B)/P(B)
           = (0.2)/(0.4)
P(A|B) =0.5
 
        
             
        
        
        
To find the slope and y intercept, use the y=mx+b formula where m is the slope and b is the y intercept<span>.
</span><span>y=mx+b
</span>Pull the values of m and b using the y=mx+b formula<span>.
</span><span>m=7/2,</span>b=−2 where m is the slope and b is the <span>y-intercept</span>