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Describe a real-life situation in which you may want to solve a system of linear equations. What do the y-intercepts represent in your example? What does the solution (or intersection) represent in your example?
Relation between two variables is described by linear equation. A real life example of linear equation is renting a car. Let rent for a car is $10 per day and $0.20 per mile it travelled. This scenario can be described with the help of a linear equation. A linear equation is generally represented as y = mx + c, where m is the slope and c is y-intercept. In the example above, y-intercept is 10 and slope is 0.20. Setting up the equation, y = 0.20x + 10 where x represents number of miles travelled. So if 10 miles are covered the total expense will be y = 0.20(10) + 10. This will result y = $12. So, this is the total expenditure of the trip.
Will the sum or difference of two radical expressions always yield a radical expression? Will the product or quotient of two radical expressions always yield a radical expression? Explain.
The sum or difference of two radical expressions will be the result of these radical expressions either added or subtracted. Meaning if we have square root 2 plus square root 3, this will not be equal to square root of 5, but instead it will be the result of square root two plus the result of square root 3. Whereas the product of the same numbers will be the same as if we multiplied those numbers under the square root. So radical 2 times radical 3 will be the same as radical 6.