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Write a system of inequalities for the graph. → --10-8-6 1-4 -26 21416 8 10 x...
Graph the system of Linear Inequalities: Y>-2x+1 Y-3x < -4
graph solution set of system of inequalities x+y< 4x-2y>6
plied 12- Q Q 10 For the system of 3x +y<8 inequalities, graph the solution region and 3x-y> - 2 identify the corners of the x20, y20 region. Use the graphing tool to graph the system. 8 9 6 2- Click to enlarge graph -2 What are the comer points? --- (Use a comma to separate answers as needed. Type ordered pairs. Type integers or fractions.) -10-
f. g(f(x)) 5) Solve the system of equations (4.1) (5x + 4y = 7 (2x + 7y=-8 6) Graph the inequality 3x + 5y > 30. (5.1) 7) Graph the system of linear inequalities (5.2) 3x + 2y = 22 (5x + 7y = 55 8) Find the value of an investment in an account (2.5, 3.1, 3.2) a. Bearing 4% simple interest after 5 years.
ly-3x=3 6. Graph and solve: ly=-2 / 3 x 4 A N t - 4 - 2 2 4 . I
(6) The figure below shows the graph of y=-x?shifted to four new positions. Write an equation for each new graph. [8 marks] (-23) (6) (a) 2.0) (c) (d) Find a formula for the inverse of the function. b) f(x) 4x-1 2x+3 [3 marks] (ii) f(x)= /10 - 3x _[2 marks] 1+e (111) g(x) - 1-e' [3 marks) Total: 25 marks!
2,3, 6, 7
1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...
20: Solve the system of equations using substitution method. 2x+5y=26 X+ y= 10 21: Solve the following equation. x-x1/2-6= 0 22: Solve the following system of equations, using elimination method. 2x+3y = 5 5x- y = 4 23: Solve the system of nonlinear equations. Any Method. Y?=x2-9 2y= x-3 24: Convert the log into exponent form. Ln (3x-5)2= 16 25: f(x)= 1/x in words explain the transformation of the following functions. a. g(x) = 1/ (x-3) +5 b. h(x)= -1/(x+2)...
(-2<x<3 21 Graph the feasible region for the system-15y 35 (2x + y<6
Solve the system by addition. 30) x - 2y = -16 -7x - ly = -8 Perform the indicated operations. 31) ( 2x2 + 2x - x3 + 1) - (4x2 - 8x - x3 + 6) Factor the difference of squares. 32) 49x2 - 16 Perform the indicated operation and simplify. ܕ܂ .3 ܙ30 Write a slope-intercept equation for a line with the given characteristics. 34) Passes through (3,-7) and (0,-2)