x

Trn Const

Simplify

Trn Coefft

Final Ans

A Bentech Presentation

EQUATION

g(x) = (2 * x) + 5
f(x) = (3 * x) - 4
h(x) = x / 2 + 7
p(x) = x / 3 - 5
EQUATION = 1 (slider from 1 to 4, step 1)
q = If(EQUATION ≟ 1, f, If[EQUATION ≟ 2, g, If[EQUATION ≟ 3, h, p]])
a = If(EQUATION ≟ 1, 8, If[EQUATION ≟ 2, 9, If[EQUATION ≟ 3, -2, 8]])
text1: "" + (LaTeX[q]) + "=" + (LaTeX[a]) + ""
A = (-2, -1)
B = (-2, 0)
C = (-1, 0)
D = (0, -1)
E = (1, -1)
F = (2, 1)
G = (3, 1)
H = (4, 0)
I = (5, 0)
J = (6, 2)
K = (7, 2)
L_3 = (8, 1)
M = (9, 1)
N = (10, 2)
O = (11, 2)
P = (12, 0)
Q = (13, 0)
R = (14, 1)
S = (15, 1)
T = (16, -1)
U = (17, -1)
V = (18, 0)
W = (19, 0)
Z = (19, -1)
A_1 = (19, -3)
B_1 = (-2, -3)
i = PolyLine(A, B, C, D, E, F, G, H, I, J, K, L_3, M, N, O, P, Q, R, S, T, U, V, W, Z, A_1, B_1)
j = Segment(A, B_1)
C_2 = (6.16, -0.72)
D_2 = (7.16, -0.72)
poly1_1, k_1, l_1, m_1, r_1, s_1, t_1, E_2, F_2, G_2, H_2 = Polygon(C_2, D_2, 6)
I_1 = (8, -1)
J_1 = (9, -1)
C_1 = (9.99, -0.71)
D_1 = (10.99, -0.71)
poly1_2, k_2, l_2, m_2, r_2, s_2, t_2, E_1, F_1, G_1, H_1 = Polygon(C_1, D_1, 6)
C_3 = (2.09, -1.79)
D_3 = (3.09, -1.79)
poly1_3, k_3, l_3, m_3, r_3, s_3, t_3, E_3, F_3, G_3, H_3 = Polygon(C_3, D_3, 6)
C_4 = (13.97, -1.79)
D_4 = (14.97, -1.79)
poly1_4, k_4, l_4, m_4, r_4, s_4, t_4, E_4, F_4, G_4, H_4 = Polygon(C_4, D_4, 6)
text3 = If(EQUATION ≟ 1, "X 3", If[EQUATION ≟ 2, "X 2", If[EQUATION ≟ 3, "/ 2", "/ 3"]])
k = If(EQUATION ≟ 1, " -4", If[EQUATION ≟ 2, "+5", If[EQUATION ≟ 3, "+7", "-5"]])
text4: "" + (LaTeX[k]) + ""
L = Coefficients(q)
g_1(x) = (2 * x) + 5
f_1(x) = (3 * x) - 4
h_1(x) = x / 2 + 7
p_1(x) = x / 3 - 5
n_1 = 4 (slider from 1 to 4, step 1)
q_1 = If(n_1 ≟ 1, f_1, If[n_1 ≟ 2, g_1, If[n_1 ≟ 3, h_1, p_1]])
a_1 = If(n_1 ≟ 1, 8, If[n_1 ≟ 2, 9, If[n_1 ≟ 3, -2, 8]])
text5_1: "" + a_1 + ""
L_4 = Solve(q = a)
C_5 = (3.91, 0.67)
D_5 = (4.91, 0.67)
poly1_5, k_5, l_5, m_5, r_5, s_5, t_5, E_5, F_5, G_5, H_5 = Polygon(C_5, D_5, 6)
C_6 = (12.31, 0.73)
D_6 = (13.31, 0.73)
poly1_6, k_6, l_6, m_6, r_6, s_6, t_6, E_6, F_6, G_6, H_6 = Polygon(C_6, D_6, 6)
text6 = If(EQUATION ≟ 1, "3x", If[EQUATION ≟ 2, "2x", If[EQUATION ≟ 3, "x/2", "x/3"]])
text7: "" + text6 + ""
text8 = If(EQUATION ≟ 1, "/ 3", If[EQUATION ≟ 2, "/ 2", If[EQUATION ≟ 3, "X 2", "X3"]])
text9 = If(EQUATION ≟ 1, "+4", If[EQUATION ≟ 2, "-5", If[EQUATION ≟ 3, "-7", "+5"]])
text10: "" + (LaTeX[text9]) + ""
text11 = If(EQUATION ≟ 1, " 12", If[EQUATION ≟ 2, "4", If[EQUATION ≟ 3, "-9", "-13"]])
text12: "" + (LaTeX[text11]) + ""
C_7 = (16.22, -0.38)
D_7 = (17.22, -0.38)
poly1_7, k_7, l_7, m_7, r_7, s_7, t_7, E_7, F_7, G_7, H_7 = Polygon(C_7, D_7, 6)
C_8 = (-0.08, -0.5)
D_8 = (0.92, -0.5)
poly1_8, k_8, l_8, m_8, r_8, s_8, t_8, E_8, F_8, G_8, H_8 = Polygon(C_8, D_8, 6)
text5: "=" + (LaTeX[a]) + ""
C_9 = (8, 1.6)
D_9 = (9, 1.6)
poly1_9, k_9, l_9, m_9, r_9, s_9, t_9, E_9, F_9, G_9, H_9 = Polygon(C_9, D_9, 6)
text13 = If(EQUATION ≟ 1, " 4", If[EQUATION ≟ 2, "2", If[EQUATION ≟ 3, "-18", "-39"]])
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b = false
c = false
d = false
e = false
m = 0 (slider from 0 to 50, step 0.01)
K_1 = (8.5, 1.3)
L_1 = (8.46, -4.88)
l = Segment(K_1, L_1)