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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 case t...
AB
Answered by Amrita B. • Maths tutor
5645 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 eliminatio...
GS
Answered by Greg S. • Maths tutor
6447 Views

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

Line 1: y = 2x + 2 Line 2: y = x 2 - 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 we can exploit that fact an...
FF
Answered by Fabio F. • Maths tutor
4218 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 is 3...
HK
Answered by Hana K. • Maths tutor
4464 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 equation...
JD
Answered by Joe D. • Maths tutor
5099 Views