Answer: 2x^2+ 9x +16+ 24x- 17/ x^2- 2x +1
Step-by-step explanation:
 
        
             
        
        
        
"fifty thousand six hundred and seventy nine" and 50,000 + 600 + 70 + 9
        
             
        
        
        
Answer:

Step-by-step explanation:
<u>Exponential Function</u>
When we need to express the exponential relation between two variables, we use the equation

where C, r are constants to be determined by using the given points from the table
For x=0, y=2, thus

We find that C=2
The equation is now

Now we use the point x=1, y=1

We find that 

Thus, the equation is

Rearranging

The required equation is

We can easily verify the last two points are also obtained by using the equation
 
        
             
        
        
        
Rachel bought a collection of buttons.
2/4 of the buttons are yellow.  2/4 * 8 = 1/2 * 8 = 4 yellow buttons
2/8 of the buttons are red. 2/8 * 8 = 1/4 * 8 = 2 red buttons
Therefore, because we know that 4 of the buttons are yellow and 2 of the buttons are red, and we know that 4 > 2, we know that more yellow buttons were bought.
        
             
        
        
        
Answer:
675 gallons of syrup
96 cans
Step-by-step explanation:
Capacity of tank = 1,000 gallons
Danielle filled 65 5-gallon cans with syrup. 
Gallons filled = 65 × 5 gallons
= 325 gallons of syrup
Gallons left in the tank = 1,000 - 325 gallons of syrup
= 675 gallons of syrup
3 12-packs Of regular cola = 3 × 12 packs = 36 packs
4 12- packs of diet cola = 4 × 12 packs = 48 packs
 2 6-packs of orange soda = 2 × 6 packs = 12 packs
Total cans = 36 + 48 + 12
= 96 cans