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What is the Difference between true and false roots?

True roots are the actual solutions to an equation, meaning they satisfy the equation when substituted back in. False roots, on the other hand, may arise from the algebraic manipulation of an equation but do not satisfy it when checked. For example, if an equation is manipulated incorrectly, it might yield a false root that does not hold true upon verification. In the context of polynomial equations, true roots correspond to the x-values where the polynomial crosses the x-axis, while false roots do not have this geometric interpretation.


A parallelogram that has a right angle is called a rhombus true or false?

False. Not that it's never true - squares like to satisfy the conditions of all quadrilaterals at once, so you'll always find an overlap there - but a rhombus does not need to have a right angle.


When working with functions you may think of fx as equal to y True or false?

True


What does it mean to describe all of the numbers that satisfy both inequalities?

I assume you have inequalities that involve variables. If you replace the variable by some number, you will get an inequality that is either true or false. A value for the variable that results in a true statement is said to "satisfy" the inequality. For example, in: x + 3 > 10 If you replace x by 8, you get a true statement, since 11 is greater than 10; if you replace x by 7, you get a false statement, since 10 is not greater than 10. In this case, there are two inequalities; you have to find all numbers that satisfy both inequalities; in other words, that convert both inequalities into true statements.


What is 3x-2 equals 3x-5 Solve for X?

Answer: no solution3x - 2 = 3x -53x - 3x - 2 = 3x - 3x - 5 (Subtract 3x from each side.)-2 = -5 Huh??When you are solving an equation, and the variable disappears, there are two possibilities:If you are left with a true statement (such as 2 = 2), then the equation is an identity, and any value of x will satisfy the equation. The number of solutions is infinite.If you are left with a false statement, as in this case, no value of x will satisfy the equation. There is no solution.