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Expand and simplify (3x + 2)(4x - 3).

Firstly, to expand the brackets, we can use the FOIL method to multiply them out.First - multiply the first numbers of each bracket. 3x * 4x = 12x^2Outer - multiply the outer numbers of each...

Answered by Vikki Y. Maths tutor
5590 Views

Alex wants to buy a new phone. It costs £280. Alex’s weekly wage is £420. He saves 15% of his wage each week. How many weeks does it take Alex to save enough money to buy the phone?

Total wage each week= £420. In one week, he saves 15% of this: 15% of 420 is 0.15 x 420 = £63. So he saves £63 in one week. To calculate the total number of weeks it takes to save up for the phone, divide...

Answered by Alexandra M. Maths tutor
3114 Views

Solve the quadratic equation (x^2 + 6x = -2) by completing the square.

If we knew (x2 + 6x) to be the first two terms of a perfect square expression, but not the constant term that would follow, we can work it out. We would use the fact that the expression can be ...

Answered by Lindie T. Maths tutor
3200 Views

how do you solve a linear equation where there are unknowns on each side e.g. 4(k + 7) = 12k + 4

In order to solve this equation you want to get all of the unknowns on one side of the equal sign and all of the numbers on the other side. However, before you do this, the first step is to expand the bra...

Answered by Molly G. Maths tutor
2936 Views

rearrange the equation y=7x-3 to make x the subject

The first step would be to have the x's on their own so add three to both sides so the equation goes from y=7x-3 to y+3=7x. The current subject is 7x= we need x= so both sides need to be divided by 7. Thi...

Answered by Sam G. Maths tutor
9537 Views

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