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Solve 7x – 9 = 3x + 2

aim is to move all numbers to one side and all the x to one side.
whatever you do to one side, you must do to the other side.
For example I want to remove -9 on the left by adding +9 to left si...

Answered by Shahswar Z. • Maths tutor

4492 Views

Express (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1) in partial fractions.

A/(3+x) + B/(1-x) + C/(2x+1) = (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1)So... A(1-x)(2x+1) + B(3+x)(2x+1) + C(3+x)(1-x) = (9x^2 + 43x + 8)Insert x=1Equation becomes 12B = 60 so B = 5.Then insert x=-3Equation beco...

Answered by Abhik V. • Maths tutor

6228 Views

The recommended price of a ladder is £75. The ladder is sold in 2 shops, one with a 30% discount the other with a discount of 2/9. How much is the discount in the two shops and which is cheaper and by how much? Non-calculator

Shop 1. Ladder is discounted at 30%. 30% = 0.3. 0.3 x £75 = ? £70 x 0.3 = £21.00 £5 x 0.3 = £1.50. Total discount is £22.50. Price for the ladder is £52.50. Shop 2. The discount can be calculated £75/1 x ...

Answered by Aston B. • Maths tutor

2586 Views

Prove that one interior angle of a a regular octagon = 135 degrees

Regular octagon has 6 triangles within it.

Total of interior angles in a triangle = 180 degrees

So the total of interior angles within a regular octagon would = 180 x 6 (=1080).

Answered by Acrisa K. • Maths tutor

10402 Views

Given the parametric equations x = t^2 and y = 2t -1 find dy/dx

The first step is to find dx/dt and dy/dt, this is done using standard differentiation rules giving the resultsdx/dt = 2t dy/dt = 2
The second step is to eliminate dt. This can be done by the mu...

Answered by Matthew H. • Maths tutor

8618 Views