Expression 12: "z" equals StartFraction, left parenthesis, negative 2 "b" plus StartRoot, 4 "b" squared minus 4 "c" "d" plus 4 "c" "a" , EndRoot , right parenthesis Over 2 "c" , EndFraction equals 4.0 3 6 4 6 7 3 5 7 4 4z=−2b+4b2−4cd+4ca2c
equals=
4.0 3 6 4 6 7 3 5 7 4 44.03646735744
12
Expression 13: "v" equals StartFraction, left parenthesis, negative "b" plus StartRoot, "b" squared minus 4 "c" "d" plus 4 "c" "a" , EndRoot , right parenthesis Over 2 "c" , EndFraction equals 5.9 9 2 9 5 5 4 3 1 1 8v=−b+b2−4cd+4ca2c
equals=
5.9 9 2 9 5 5 4 3 1 1 85.99295543118
13
Equil Price: left parenthesis, 0 , "a" minus "b" "v" , right parenthesis equals left parenthesis, 0 , 4.0 0 7 0 4 4 5 6 8 8 2 , right parenthesis Has graph. To audio trace, press ALT+T.0,a−bv
Label:
equals=
left parenthesis, 0 , 4.0 0 7 0 4 4 5 7 , right parenthesis0,4.00704457
14
Hidden Label: left parenthesis, "z" , left parenthesis, "a" minus 2 "b" "z" , right parenthesis , right parenthesis equals left parenthesis, 4.0 3 6 4 6 7 3 5 7 4 4 , 1.9 2 7 0 6 5 2 8 5 1 3 , right parenthesis Has graph. To audio trace, press ALT+T.z,a−2bz
P* left parenthesis, 0 , "a" minus "b" "z" , right parenthesis equals left parenthesis, 0 , 5.9 6 3 5 3 2 6 4 2 5 6 , right parenthesis Has graph. To audio trace, press ALT+T.0,a−bz
Label:
equals=
left parenthesis, 0 , 5.9 6 3 5 3 2 6 4 , right parenthesis0,5.96353264
17
Hidden Label: left parenthesis, "z" , left parenthesis, "a" minus "b" "z" , right parenthesis , right parenthesis equals left parenthesis, 4.0 3 6 4 6 7 3 5 7 4 4 , 5.9 6 3 5 3 2 6 4 2 5 6 , right parenthesis Has graph. To audio trace, press ALT+T.z,a−bz
Expression 19: left brace, 0 less than "x" less than "z" , right brace "a" minus "b" "v" less than "y" less than "a" minus "b" "z" Has graph. To audio trace, press ALT+T.0<x<za−bv<y<a−bz
19
Q* left parenthesis, "z" , 0 , right parenthesis equals left parenthesis, 4.0 3 6 4 6 7 3 5 7 4 4 , 0 , right parenthesis Has graph. To audio trace, press ALT+T.z,0
Label:
equals=
left parenthesis, 4.0 3 6 4 6 7 3 6 , 0 , right parenthesis4.03646736,0
20
Expression 21: left brace, "y" greater than "F" left parenthesis, "x" , right parenthesis , right brace left brace, "y" less than "D" left parenthesis, "x" , right parenthesis , right brace "x" greater than "z" Has graph.y>Fxy<Dxx>z
21
Expression 22: "y" equals "a" minus "b" "v" left brace, "z" less than "x" less than "v" , right brace Has graph. To audio trace, press ALT+T.y=a−bvz<x<v