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The equation of a curve is y = ax^2 + 3x + c where a and b are integers. The curve has a minimum point at (1,1), find a and c

We start by trying to find out the values of a and c using the information about the minimum point. We know we can rearrange the right hand side by completing the square: y = a(x^2 + 3x)+cy = a(x+3/2a)^2+...

Answered by Larbi E. • Maths tutor

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solve x^2 >3(x+6) (4 mks)

x²>3(x+6)Firsty expand brackets --> x²>3x+18Then make one side = to 0 ---> x²-3x-18>0Solve the quadratic (x+3)(x-6)>0find the solutions when =0 x=-3 and ...

Answered by Lucy C. • Maths tutor

2290 Views

Anna and Lionel share $675 in the ratio 4 : 5 Lionel gives 3 5 of his share of the money to his mother. How much money does Lionel give to his mother?

4 + 5 =9Lionel receives 5/9 x $675 = $375Lionel's mum receives 3/5 x $375 = $225

Answered by Asiyah I. • Maths tutor

11373 Views

Solve the simultaneous equations. 2x+5y=-4 and 7x+y=19

This can be solved using either substitution or elimination. I think this question is best approached by elimination.By elimination: Multiply the second equation by 5. The minus the first equation ...

Answered by Nisha W. • Maths tutor

2880 Views