Answer:
The solutions of the equation are 0 and 0.75.
Step-by-step explanation:
Given : Equation 
To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?
Solution :
Equation 

Either
or 
When
When 
Solve by quadratic formula, 





The solutions of the equation are 0 and 0.75.
For verification,
In the graph where the curve cut x-axis is the solution of the equation.
Refer the attached figure below.
This can be solver by creating a small equation with x being the number and solving for x. The equation would be 8 + 2( x + 3 ) = -6
Solve for x:
8 + 2( x + 3 ) = -6
Distribute the 2
8+ (2x+6)=-6
Subtract 8
2x+6= -14
Add 6
2x= 8
Divide by 2
x=4
So the number you are looking for is 4
I hope this helps!
Answer:
52 cards/hour
Step-by-step explanation:
416 cards
Rodney's card production rate is --------------- = 52 cards/hour
8 hours