Answer:
- 1/64 (x+4)² (x-3) (x-4) = 0
Step-by-step explanation:
f(x) = a (x+4)²(x-3)(x-4)   ... curve touch (-4,0) and not cross x axis
x=0   f(x) = -3
a (4)² * (-3) * (-4) = -3
a = - 1/64
- 1/64 (x+4)² (x-3) (x-4) = 0
 
        
             
        
        
        
Answer:
The equation has one solution.
Step-by-step explanation:
6x + 35 = -6x - 35
subtract 6x from both sides of the equation
35 = -35 - 12x 
add 35 to both sides of the equation
70 = -12x
divide -12x on both sides of the equation
x = 5.833333333
 
        
             
        
        
        
Answer: 
the probability that two 18 year old boys chosen at random will have heights greater than 185cm is 0.403
Step-by-step explanation:
P( x > 193) = 0.15
= 1- p(x less than or equal 193)
= 1 -p( z < (x- u) /sigma)
= 1- p( z< (193 - 187)/ sigma)
= 1- p( z< 6/ sigma)
P(z< 6/sigma) = 1 - 0.15
P(z < 6/sigma)= 0.85
6/sigma =1.036
Sigma= 6/1.036
Sigma= 5.79
P( x> 185) = 1- p( x< 185)
 = 1- p (z < (185- 187)/5.79)
 = 1- p( z< -0.345)
 = 1- 0.365
 = 0.635
P (x> 185) = 0.635 × 0.635
 =0.403
 
        
             
        
        
        
I don't know the first one but the second one is The second national bank was chartered in 1816.