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Factorise 4x+6x^2

This is factorisation by common factor, so we need to write 4x+6x 2 as a product. First we need to find the highest common factor of 4x and 6x 2 so that we can take it out, which in this case is 2x, so we ha...
AM
Answered by Aoife M. • Maths tutor
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Solve 4(x+3)=2x+8

Expand brackets on LHS 4x+12=2x+8 Collect "like" terms4x-2x=8-122x=-4Divide both sides by 2 to solve for x x=-4/2=-2 Final Answer x=-2
JM
Answered by Joe M. • Maths tutor
3651 Views

A particle is moving along a straight line. The displacement of the particle from O at time t seconds is s metres where s = 2t^3 – 12t^2 + 7t. Find an expression for the velocity of the particle at time t seconds.

To find the velocity function of a particle when given its displacement function, you must differentiate the given function. v = 6t^2 - 24t + 7 .Similarly, to get the displacement function from the velocity ...
AL
Answered by Andrew L. • Maths tutor
6917 Views

Solve the simultaneous equations: x^2 + y^2 = 5 and y = 3x + 1

x 2 + y 2 = 5 1 y = 3x + 1 2 Inserting 2 into 1 : x 2 + (3x +1) 2 = 5 Expanding the brackets: x 2 + 9x 2 + 3x + 3x + 1 = 5Collecting like terms: 10x 2 + 6x - 4 = 0Using the quadratic formula: x = (-6 ± √(6 2...
SB
Answered by Sophie B. • Maths tutor
6450 Views

Solve ((3x-2)/4) - ((2x+5)/3) = ((1-x)/6)

The important concept here is that in order to add or subtract fractions, they must have a common denominator. The easiest way of finding a common denominator for three or more fractions is usually to multip...
PD
Answered by Peta D. • Maths tutor
4306 Views