Answer:
To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given
24/45=0.533...
8/15=0.533...
48/90=0.533...
5/9=0.5556
As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
All solutions or infinite. 
Step-by-step explanation:
Turn 2y = -4x + 6 into standard form - divide by 2
Y = -2x + 3
2x + y = 3
Substitute the y equation in for y.
2x - 2x + 3 = 3
The x variables cancel out. 
3 = 3
Which is true so it means all solutions. 
Hope this helps. 
 
        
             
        
        
        
Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x  or 
 for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}}  y = 3 4 2 x can be written in mathematical form as 
 ; y = 342x 
on comparing with equation (1) we get a =3 and b =4 
⇒y = 34^x or 
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as 
 ; y = 342x 
on comparing with equation (1) we get a =0.5 and b =5 
⇒y = 
 
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as 
 
on comparing with equation (1) we get a =64 and b =8
y = 
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}  can be written in mathematical form as 
 = 
 = 
on comparing with equation (1) we get a =3 and b =3
y = 
 
 
        
             
        
        
        
3x^2 + 6x - 2 = 0
discriminant = b^2 - 4ac; where a = 3, b = 6 and c = -2
d = 6^2 - 4(3)(-2)
d = 36 + 24
d = 60