Let x represent the number of country songs that Sierra puts on a playlist on her portable media player. Let y represent the number of rock songs that she puts on the playlist. For parts (a)-(e), write an inequality to represent the given statement. a. Sierra will put at least 6 country songs on the playlist. b. Sierra will put no more than 10 rock songs on the playlist. c. Sierra wants to limit the length of the playlist to at most 20 songs. d. The number of country songs cannot be negative. e. The number of rock songs cannot be negative. f. Graph the solution set to the system of inequalities from parts (a)-(e).
Let x represent the number of country songs that Sierra puts on a playlist on her portable media player. Let y represent the number of rock songs that she puts on the playlist. For parts (a)-(e), write an inequality to represent the given statement. a. Sierra will put at least 6 country songs on the playlist. b. Sierra will put no more than 10 rock songs on the playlist. c. Sierra wants to limit the length of the playlist to at most 20 songs. d. The number of country songs cannot be negative. e. The number of rock songs cannot be negative. f. Graph the solution set to the system of inequalities from parts (a)-(e).
Solution Summary: The author explains that the required inequality is xge 6, which represents the number of country songs Sierra puts on her portable media player.
Let
x
represent the number of country songs that Sierra puts on a playlist on her portable media player. Let
y
represent the number of rock songs that she puts on the playlist. For parts (a)-(e), write an inequality to represent the given statement.
a. Sierra will put at least
6
country songs on the playlist.
b. Sierra will put no more than
10
rock songs on the playlist.
c. Sierra wants to limit the length of the playlist to at most
20
songs.
d. The number of country songs cannot be negative.
e. The number of rock songs cannot be negative.
f. Graph the solution set to the system of inequalities from parts (a)-(e).
10
The hypotenuse of a right triangle has one end at the origin and one end on the curve y =
Express the area of the triangle as a function of x.
A(x) =
In Problems 17-26, solve the initial value problem.
17. dy = (1+ y²) tan x, y(0) = √√3
could you explain this as well as disproving each wrong option
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