Suppose that the domain for x consists of all english text.

p(x): "x is a clear explanation,"

q(x): "x is satisfactory," and

r(x): "x is an excuse,"

express each of these statements using quantifiers, logical connectives, and p (x), q(x),and r(x).

a) some clear explanations are satisfactory

b) all excuses are unsatisfactory

c) some excuses are not clear explanations.

d) does (c) follow from (a) and (b)?

The table represents a linear function. what is the slope of the function? –6 –4 4 6

The equation of a circle is (x + 4)2 + (y + 6)2 = 16. determine the length of the radius. 10 4 16 8 my flower basket delivers flowers within a 20 mile radius of their store. if this area is represented graphically, with my flower basket located at (5, 2), what is the equation that represents the delivery area? (x - 2)2 + (y - 5)2 = 20 (x - 5)2 + (y - 2)2 = 20 (x + 5)2 + (y + 2)2 = 400 (x - 5)2 + (y - 2)2 = 400

Which of the statements about the graph of the function y = 2x are true? check all of the boxes that apply. the domain is all real numbers x because the exponent of 2 can be any real number when the x-values increases by 1 unit, the y-value multiplies by 2. the y-intercept is (0, 1). the graph never goes below the x-axis because powers of 2 are never negative. the range is all real numbers.