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Solve the simultaneous equations: y=x/2 + 2 and 2y+3x=12

Label the equations (1): y=x/2 + 2 and (2): 2y+3x=12. Firstly, multiply equation (1)by 2, this will give you (1a): 2y=x+4, then, substitute (1a) into (2). This gives you (x+4)+3x=12. Therefore, 4x+4=12. 4x=1...
JB
Answered by Joseph B. • Maths tutor
6739 Views

Solve the equation x^2-9x+20=0

First, we need to factorise the equation on the left hand side, this can be done by finding two numbers that add together to make the 'b' coefficient (-9) and multiply to make the 'c' coefficient (20). This ...
JB
Answered by Joseph B. • Maths tutor
30488 Views

If f'(x)=3x(x - 1), find f(x)

Due to notation difficulties, S = integral sign. This is a straightforward integration question, firstly we expand the brackets: f'(x)=3x^2 - 3x f(x)=S(3x^2 - 3x)dx f(x)=3/3x^3 - 3/2x^2 + C f(x)=x^3 - 3/2x^2...
GR
Answered by Grace R. • Maths tutor
5489 Views

Discuss the implications of increased output on EOS and DOS within a firm.

As output increases it is a general rule that cost decreases, but why is this? Let's look at the principle of EOS and how they reduce costs. Starting with Technical EOS, here you have one fixed cost for the ...
HC
2368 Views

Explain the formation of a waterfall

The is a layer of harder rock on top of soft rock. The softer rock underneath erodes more quickly, undercutting the hard rock. This leave the hard rock to over hang. Eventually the soft rock is undercut so m...
HS
Answered by Hannah S. • Geography tutor
4937 Views