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Solve the simultaneous equations: x^2-y=16 and 2y-4=14x

Equations: (1) x^2-y=16 and (2) 2y-4=14xRearrange (2) to give y:2y-4=14x(+4) 2y=14x+4(/2) y=7x+2call the new equation (3) y=7x+2Put (3) into (1):x^2-(7x+2)=16(expand) x^2-7x-2=16(-16) x^2-7x-18=0(Factoris...

HC
Answered by Hollie C. Maths tutor
3969 Views

Ella's Delicatessen has monthly fixed costs of £1800. She sells her soup for £1.15 a carton. The variable costs per carton are: (raw materials = 45p) and (labour = 20p). Calculate her breakeven output per month (show your workings)

Formula for Breakeven = Fixed costs / (selling price – variable cost). Fixed costs = £1800. Selling price = £1.15. Variable costs = 0.45 + 0.20 = £0.65. Selling price - variable cost = £1.15 – £0.65 = £0....

ET
2416 Views

Describe the Civil Rights Act of 1964 in the USA.

During the 1960s, America took huge strides in providing greater Civil Rights for the African-American community. Thanks to the likes of Martin Luther King and Malcolm X organising mass protests, marches ...

AW
Answered by Alexander W. History tutor
2715 Views

Explain two examples of Christian worship. (4 marks.)

This question requires 2 examples and that each is developed. However, there is opportunity for a variety of example, as long as there is further explanation for each of them. Example:Christians may worsh...

CG
13202 Views

Identify the construction used, then translate into English: puella in foro erat ut cibum emeret

This sentence contains {ut + subjunctive verb ('emeret')} which is what signals to us that we have a purpose clause. A similar construction is used for a result clause, but we don't have a word saying 'ho...

CG
Answered by Chloë G. Latin tutor
2417 Views

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