1. Define "Conjugate radical binomials."

Step-by-step explanation:

For a+b, it's a−b. A conjugate is a binomial where the second term is the opposite of the second term of another binomial. In other words, if I have the expression a+b, the conjugate of my expression is a−b. If I were to add the second terms of these two expressions, I would get 0.

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.