Answer:
y = x/3 - 2 or f(x) = x/3 - 2
Step-by-step explanation:
f(x) = y
y = 3x + 6
To solve for inverse change y to x and x to y and solve for y.
x = 3y + 6 //Subtract 6 on both side
x - 6 = 3y //Divide 3 on both side
x/3 - 6/3 = y //Simply
y = x/3 - 2
 
        
             
        
        
        
Answer:
Prob.3
Denote r: radius of circle O
Formula for calculating AOB sector:
Area = pi*r^2*angle/360
Area = pi*r^2*45/360 = 18 pi
=> r^2 = 18*360/45 = 144
=> r = 12
For prob.4, give it a try, follow the formula I gave. Good luck !
(answer : r = 6)
 
        
             
        
        
        
349.304347826097 that is the answer
        
                    
             
        
        
        
Answer:
The x-intercepts will be, x= 7 or x =9
Step-by-step explanation:
f(x)= x^2 -16x+63 
At the x-intercept, f(x) is zero. 
Therefore;
x² - 16x + 63 = 0
solving it quadratically;
product = 63 
Sum       = -16 
x² - 9x - 7x + 63 = 0
x(x-9) - 7( x-9) = 0
(x-7) (x-9) = 0
x = 7 or x = 9
Therefore; 
The x-intercepts will be, x= 7 or x =9
 
 
        
                    
             
        
        
        
Answer:
value of x = 4
Step-by-step explanation:
here's the solution : -
=》6 - 2x = 5x - 9x + 8
shifting like terms aside,
=》6 - 8 = 5x - 9x + 2x 
\_(●_●)_/
=》-2 = -2x
=》x = -2 / -2 
=》x = 1