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(Solved): A^('') Ask Copilot Solve the equations graphically by sketching the graphs of the correspondin ...



A^('')

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)



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