Top answers

Solve for x: 2x^2 + 2x -24 = 0

The general formula of a quadratic is ax^2 + bx + c -> this is a quadratic 2) Factorise using common factor (=2) -> 2(x^2 + x - 12) = 0 3) Factorise the quadratic to (x + m)(x + n): the two numbers (m ...
YZ
Answered by Yige Z. • Maths tutor
11635 Views

Briefly describe the mechanism of muscle contraction.

In muscle, myosin protein has 'heads' that act as cross-bridges as they bind to actin, another protein. When ATP binds to myosin, its head detaches from actin, swings forward and rebinds. Rebinding releases ...
HG
Answered by Hester G. • Biology tutor
10413 Views

Describe some of the means by which a plant might defend itself, bearing in mind that it is 'sessile' (it cannot move around)?

The plant could have structural defence mechanisms such as 'thorns' or 'spines' which could cause damage to the mouth of herbivores so the plant is not eaten. It could also have 'stings' which are little hai...
HG
Answered by Hester G. • Biology tutor
3625 Views

Simplify: (3x+8)/5 > 2x + 1

Multiply both sides by 5: 3x + 8 > 10 x + 5 Move 3x to RHS by subtracting 3x from both sides: 8 > 7x + 5 Move 5 to LHS by subtracting 5 from both sides: 3 > 7x Make the coefficient of x equal 1 by d...
OD
Answered by Orlaith D. • Maths tutor
4870 Views

Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).

f(x) = (x+2)(x+2) When f(x) = 0, x = -2. f'(x) = 2x + 4 When f'(x) = 0, x = -2, and corresponds to the minimum point. Therefore, the sketch of the curve will be a U-shaped parabola which touches the x-axis a...
OD
Answered by Orlaith D. • Maths tutor
4384 Views