Answer:
The answer to your question is the last option
Step-by-step explanation:
Quadratic equation
2 = - x + x² - 4
Order the equation from the highest power to the lowest power. Do not consider 2 because it is not consider in the options given.
x² - x - 4 = 0
Identify a, b and c
(1) x² -(1) x - 4 = 0
a = 1 b = -1 c = - 6
Substitution

Answer:
and

Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
--- (1)
And the amount spent can be represented as:
--- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
implies 
And
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:

Hence, the equations are:
and

Solving for c and h
Make c the subject in 

Substitute 5 - h for c in 



Collect Like Terms


Solve for h


-- approximated
Recall that:



Answer:
the ratio is 6:4 if we were reduce it, it will be 3:2
Answer:
15.5
Step-by-step explanation:
The equation to find area is Length × Width= Area
we have the area and the length, 12.5 × width= 293.75
to find the width, you will have to reverse engineer and divide the area by the length instead.
193.75 ÷ 12.5 =15.5
just to double check, 15.5 × 12.5 = 193.75
the width is 15.5