Prove the formula that: ((∃x)(F(x)∧S(x))→(∀y)(M(y)→W(y)))∧( (∃y)(M(y)∧¬W(y)))
⇒(∀x)(F(x)→¬S(x))

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

Find the domain and range of the following function f(x) = 51x - 21+ 4