Let P(x) be the statement "x is a clear explanation," (x) be the statement "x is satisfactory," (x) be the statement "x is an excuse." Let the domain for x consists of all English written text. Express each of the statements below using quantifiers, the predicates P(x), (x), (x) and logical connectives, including negations if needed. a. Some clear explanations are excuses. b. There are no satisfactory excuses. [Note this is equivalent to: All excuses are not satisfactory.]

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.