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Maths
GCSE

How would you differentiate a function such as 4x^3

The general rule for differentiating functions such as 4x^3 is called the power rule.This formula goes by dy/dx of [x^n] = nx^(n-1)Now this may seem complicated but with examples hopefully it should becom...

Answered by Adam W. Maths tutor
2775 Views

How do you factorise?

Factorising basically means put whatever equation you are given into brackets. So, E.g. x2 + xFirst you want to look for a common factor which here is X. Therefore, the answer would be x(x+1).T...

Answered by Lydia D. Maths tutor
2453 Views

Johnny take 4 hours 50 minutes to drive 213 miles to Manchester. He then takes the train to Liverpool. Liverpool is 37 miles from Manchester and the train travels at 90mph. Calculate Johnny's average speed for his total journey in mph.

Total journey average speed = (total distance travelled ÷ total time taken).Total distance travelled = 213 miles + 37 miles = 250 milesTotal time taken (hours) = 4 + (50÷...

Answered by Steven W. Maths tutor
2476 Views

The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.

L1 is in the form y=mx+c where m is the gradient, 3.L2 can be rewritten as 3y=9x-5, then y=3x-(5/3) to reach y=mx+c. So, the gradient of L2 is 3.Therefore, both lines are parallel.

Answered by Joe W. Maths tutor
4088 Views

Solve the simultaneous equations. 2x + y = 18, x−y=6

In this question, we are going to find the values of x and y from the equations above. To start off, we will number the equations:(1): 2x+y=18(2): x-y=6now we will add (1) to (2) as that will get ride of...

Answered by Ruby R. Maths tutor
3416 Views

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