Let x = Craig's time
Let y = Tom's time
Create a system of equations to solve this problem.
8 = x + y
y = 4x
Substitute 4x into the y variable in the first equation.
8 = x + 4x. Combine like terms
8 = 5x. Divide each side by 5.
1.6 = x
Craig takes 1.6 hours to clean the house
Answer:
The roots of the given equation are x = 0 and x = -8.
General Formulas and Concepts:
<u>Algebra I</u>
Terms/Coefficients
Quadratic Equations
- Solving quadratic equations
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
y = x² + 8x
<u>Step 2: Find Roots</u>
- [Quadratic] Factor: y = x(x + 8)
- [Quadratic] Set up [Solve]: 0 = x(x + 8)
- [Quadratic] Define: x = 0, -8
∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.
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Topic: Algebra I
The curve can be described by
the domain is all numbers except x = -4 because when -4 is plugged in for x the equation divides by 0 which is impossible
