Answer:
f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares
g(x) = x+9/x-9
g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)
= ( x + 9)(x +9)
= ( x + 9)²
= x² + 18x + 81
Hope this helps.
 
        
             
        
        
        
Answer:
L=6x^2-4x+5
P=12x^2-4x-2
Step-by-step explanation:
A=WL
So, we know the area is 6x^2-8x-30 and the width is 2x-6
Substitute
(6x^2-8x-30)=(2x-6)(L)
L=(6x^2-8x-30)/(2x-6
Divide
L=6x^2-4x+5
P=2L+2W
Substitute
P=2(6x^2-4x+5)+2(2x-6)
P=12×^2-8x+10+4x-12
Simplify
P=12x^2-4x-2
 
        
             
        
        
        
Answer:

Step-by-step explanation:
we know that
In this problem 
The value of x represent the radius of the circle
so
Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O
see the attached figure to better understand the problem



square root both sides

 
        
             
        
        
        
The given ratio is:

To find the unit cost per ounce, we can use proportions as follows:

Now, solve for x:

The cost per ounce (unit cost) is then $0.12/oz
 
        
             
        
        
        
D.34 more weeks left of saving because you have $166 more dollars to go after your $50 dollar scholarship program and the 16 weeks of saving $84 dollars.