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x^2 - 5x - 12 = 2, solve for x

RHS should always be 0 so start by taking that across.Now we want two numbers, they need to add up to make - 5 and multiply to make -14.Solve for this and we get -7 and +2.Use this information to factoris...

Answered by Pratinav S. Maths tutor
2969 Views

5 tins of soup have a total weight of 1750 grams. 4 tins of soup and 3 packets of soup have a total weight of 1490 grams. Work out the total weight of 3 tins of soup and 2 packets of soup.

Let tins be represented by XLet packets be represented by Y
5X= 1750X=350
4X+3Y=14904(350)+3Y=14901400+3Y=14903Y=90Y=30
3X+2Y= (3x350) + (2x30)= 1050+ 60= 1110

Answered by Joe C. Maths tutor
2284 Views

A-level - How to differentiate e^x where x is more complicated?

For exampe: e4x^3
The way to look at this is, the differential of e4x^3 = the ...

Answered by Jake C. Maths tutor
2657 Views

Find an equation for the straight line connecting point A (7,4) and point B(2,0)

In this question we will use the fact we know a straight line can be written in the form (y-y1)=m(x-x1). Where m is the gradient and (x1,y1) is a point on the l...

Answered by Hannah M. Maths tutor
3790 Views

An triangular prism has base xcm, height (x+4)cm and length 4xcm. Find the volume of the prism in terms of x. Find the volume when x=2cm.

This question combines knowledge of volume equations with using unknown variables. We know the volume of a prism is the area of the face multiplied by the length. The first step would be to find the area ...

Answered by Megan P. Maths tutor
2511 Views

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