Answer:
A.  -41/15.
Step-by-step explanation:
15x^2 + 23x - 41 = 0
Product of the roots of ax^2 + bx + c = c/a.
Thus the product of the roots of this equation = -41/15.
 
        
             
        
        
        
Answer:
a=5
Step-by-step explanation:
a^2+b^2=c^2
c^2-b^2=a^2
13^2-12^2=a^2
169-144=a^2
25=a^2
5=a
 
        
             
        
        
        
19+x/2=4
multiply 2 on both sides
19+x=4 times 2
19+x=8
subtract 19 on each side
x=8-19
subtract
x=-11
        
             
        
        
        
Answer:
0.00597
Step-by-step explanation:
Given,
Total number of cards = 52,
In which flush cards = 20,
Also, the number of spade flush cards = 5,
Since,

Thus, the probability of a hand containing a spade flush, if each player has 5 cards




= 0.00597  
 
        
             
        
        
        
<span>Divide by 3 get a remainder of 2
5, 8, 11, 14, 17, 20, ...
Divide by 5 get a remainder of 2
7 , 12, 17, 23, ...
Divide by 7 get a reminder of 5
12, 19, 26, 33, ...
 
And find a number in all three lists
</span>
<span>Not the most convenient way for sure, but since 47 works it will not take too long</span><span>
</span>