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Firstly we should add log to both sides of the equation, knowing that modifying one side can be balanced by doing the exact same thing on the other side. On the right hand side, using logarithmic identiti...

Pythagorus Theorem states that the side of a 'Right Angled Triangle' can be found by using the formulae c² = a² + b² , where c is considered as hypotenuse. In our case the...

5x - 2 > 3x + 11
5x - 3x > 11 + 2 
2x > 13
x > 13/2 
x > 6.5

First list what the question gives you. 

p=36    r=3      t=-2

Sub in the values that you know into the equation.

Q= 36/ 3(4--2)

Q= 36/18

Q=2

6x^2 + 5x +7 =y

dy/dx = 12x + 5 

To solve for a point of inflection:

dy/dx = 12x + 5 = 0

x=-5/12

y=143/24