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Maths
GCSE

Differentiate y = 3x^4 + 6x^3

There are two really simple steps we can use to be able to differentiate in a question like this. The first step is to multiply the number in the power by the number in front of the variable - in this cas...

Answered by Amrita B. Maths tutor
3591 Views

Denise buys 5 apples and 3 bananas for £3.15. A banana costs 25p more than an apple. How much would it cost to buy 4 apples and 2 bananas?

Apple costs: 30pBanana costs: 55pFinal Answer: £2.30Answer should be calculated by first interpreting the question to form two simultaneous equations. These can be solved by either substitution or elimina...

Answered by Greg S. Maths tutor
3507 Views

Finding the intersection of a two lines (curved and linear example)

Line 1: y = 2x + 2 Line 2: y = x2 - 1Firstly, intersection of two lines is the point at where the coordinates of both lines are the same. X1 = X2 and Y1 = Y2Therefore, that means...

Answered by Fabio F. Maths tutor
2253 Views

Solve x^(2)-x-12

We must factorise. Find factor pairs of -12;1,-12;-1,12;2,-6;-2,6;3,-4;-3,4. Out of the pairs, we must find the pair that will add up to -1 - this is because of the '-x' part of the equation. The answer i...

Answered by Hana K. Maths tutor
2208 Views

Solve the following set of simultaneous equations: (eq.1) x + 3y = 10, (eq.2) 2x + y = 5

Firstly, multiply eq.1 by 2, to obtain: (eq.3) 2x + 6y = 20Next, subtract eq.2 from eq.3 to obtain: (eq.4) 5y = 15Next, divide eq.4 by 5 to obtain: y = 3Now substitute y = 3 into any of the previous equat...

Answered by Joe D. Maths tutor
2998 Views

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