The demand for a new computer game can be modeled by p left parenthesis x right parenthesis equals 43.5 minus 9 ln xp(x)=43.5−9lnx where p(x) is the price consumers will pay, in dollars, and x is the number of games sold, in thousands. recall that total revenue is given by upper r left parenthesis x right parenthesis equals x times p left parenthesis x right parenthesisr(x)=x•p(x). complete parts (a) through (c) below. a) find r(x). r(x)-□ b) find the marginal revenue, r'(x) r'(x) c) is there any price at which revenue will be maximized? why or why not?

Liz is shipping a package to her friend.the maximum weight of a medium flat-rate box is 20 pounds,including the box which weighs 6 ounces.write and solve an inequality to describe the possible weight ,w, of the contents that liz will ship to her friend if she must use a medium flat-rate box.

Which letters from the table represent like terms? a and b b and c a and d b and d

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions