3p² - 2p - 5 = 0
3p² + 3p - 5p - 5 = 0
3p(p + 1) -5(p + 1) = 0
(3p - 5)(p + 1) = 0
p = 5/3 or -1
Hope this helps!
        
                    
             
        
        
        
Answer:
x^2 - 64
Step-by-step explanation:
A difference of squares is a special product in the form (a^2 - b^2)..their factored form is (a - b)(a + b)..
Thus here a = x and b = 8, thus if x + 8 is a factor, then x - 8 is also a factor..
(x + 8)(x - 8) <-- expand this out using difference of squares rules..
= (x)^2 - (8)^2 
= x^2 - 64 <-- answer...
You could also expand that using FOIL (FOIL - first, outer, inner, last)..
(x + 8)(x - 8) 
= (x)(x) + (x)(-8) + (8)(x) + (8)(-8) 
= x^2 - 8x + 8x - 64 <-- the -8x and 8x cancels out..leaving you with..
= x^2 - 64
 
        
                    
             
        
        
        
Answer:
Just #1
Step-by-step explanation:
 
        
             
        
        
        
Inverse variation is of the form:
y=k/x, which we can express as:
yx=k  we are given the point (2/3, 7) so we can solve for k
7(2/3)=k
14/3=k
y=14/(3x), so when x=7/3
y=(14/3)/(7/3)
y=(14/3)(3/7)
y=2
        
             
        
        
        
Answer:
a) 0.497
b) 0.0047
Step-by-step explanation:
a) The probability that the person actually has the disease

b) The probability that the person actually does have the disease