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аあ Ask Copilot Solve the equations graphically by sketching the graphs of the corresponding functions. a)
|4x+2|=3x+5
(4 marks) b)
2x-8=|x^(2)-2x-8|
(5 marks) Solve the equations graphically using a graphing utility. a)
3-5x=|4x-6|
(3 marks) b)
|x^(2)-x|=2x^(2)+x-3
(3 marks) Solve these equations algebraically. a)
|5x-8|=2
(2 marks) b)
2-2x=|4-x|
(3 marks) c)
|3x-5|=x-1
(3 marks) d)
|(1)/(2)x-3|=-5
(2 marks) e)
|x^(2)-8x+12|=21
(5 marks) f)
|x^(2)-4|=4-x
(4 marks) g)
|3+x-2x^(2)|=5-x
(6 marks) You're trying to solve the equation
|x^(2)-5x-8|=-2
. Your classmate tells you that there's no solution. Are they right or wrong? Justify your answer. (3 marks) a) Find the vertex of
y=x^(2)-3x-10
. (3 marks) b) Explain how the
y
-value at the vertex can show you if the equation
|x^(2)-3x-10|=30
will have 2 or 4 solutions. (3 marks)