13 5/8 + 7/8 = 14 1/2
5/8 + 7/8 = 1 4/8 = 1 1/2 
1 1/2 + 13 = 14 1/2
 
        
             
        
        
        
To find an inverse, switch the x and the y and solve for the new y.  Yours switched is x = 3y.  Now solving for y we divide both sides by 3 to get y = x/3
        
             
        
        
        
Answer:
The function touches the damping factor 
at x= and x=
 and x=
The x-intercept of f(x) is 
at x=
Step-by-step explanation:
Given function is f(x)= and damping factor as y=
 and damping factor as y= and y=
 and y= 
 
To find when function touches the damping factor:
For f(x)= and y=
 and y=
Equating the both the equation,


x=
For f(x)= and y=
 and y=
Equating the both the equation,


x=
Therefore, The function touches the damping factor x= and x=
 and x=
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=
y=

Hence,  is always greater than zero.
 is always greater than zero.
Therefore,
x=
Thus, 
The x-intercept of f(x) is at x=
 
        
             
        
        
        
Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 |  1     4     6    -36
      1      6    18     0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i² 
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
 
        
             
        
        
        
Answer:
$55.36
Step-by-step explanation:
15% of 65.25 is 9.89
then that'd be 65.25 - 9.89 = 55.36
hope this helps/is right.