Question 1 (3 marks):
On the graph in the answer space, shade the region which satisfies all three inequalities y ≥ –3x + 6, y > x + 1 and y ≤ 5.
Answer:
Solution:
On the graph in the answer space, shade the region which satisfies all three inequalities y ≥ –3x + 6, y > x + 1 and y ≤ 5.
Answer:
Solution:
Question 2 (4 marks):
Solve the following quadratic equation:
−23x−5=x3x−1
Solution:
−23x−5=x3x−1−2(3x−1)=x(3x−5)−6x+2=3x2−5x3x2−5x+6x−2=03x2+x−2=0(3x−2)(x+1)=03x−2=0 or x+1=0x=23 or x=−1
Solve the following quadratic equation:
−23x−5=x3x−1
Solution:
−23x−5=x3x−1−2(3x−1)=x(3x−5)−6x+2=3x2−5x3x2−5x+6x−2=03x2+x−2=0(3x−2)(x+1)=03x−2=0 or x+1=0x=23 or x=−1