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How do you solve the simultaneous equations 3x+y=5 and x-y=3?

The aim of this question is to find x and y by combining these two equations. There are two ways of solving simultaneous equations, elimination and substitution. Elimination can only be used when there ar...

Answered by Andrew N. • Maths tutor

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Explain how the human body maintains blood glucose levels within a narrow range

As part of homeostasis, it is vital for the human body to maintain blood glucose levels within a narrow range. The 2 main hormones involved are insulin, when glucose levels are too high, and glucagon, whe...

Answered by Sally H. • Biology tutor

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A gardener uses this formula to work out how much he charges to make a lawn. C = (7(14+A))/3. C is the charge in £, A is the area in m^2. He makes a rectangular lawn measuring 12.5 m by 17.6 m. How much does he charge? [3 marks]

Rectangular Lawn of 12.5 x 17.6m. (Draw Rectangle) Area=LengthHeight A=12.517.6 A=220m^2

Substitute into formula: C=(7(14+A))/3 C=(7(14+220))/3 C=(7(234))/3 C=(1638)/3 C=546

The gar...

Answered by Joshua F. • Maths tutor

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Factorise f(x) = 6x^3 -7x^2 -x +2 = 0

Try to find first root: f(1) = 6 - 7 -1 + 2 = 0, therefore x-1 is a root. Find quadratic by inspection: (x-1)( )= 6x^3 -7x^2 -x +2 (x-1)(6x^2 - x - 2) Factorise quadratic: (x-1)(2x+1)(3x-2) = 0

Answered by Tutor40745 D. • Maths tutor

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Why was the bay of pigs incident such a major setback for the United States and for President Kennedy?

When Kennedy came into power in January 1961 he made a famous speech in which he said they would fight anyone to 'assure the survival and success of liberty'. By 1961 Fidel Castro was firmly on the side o...

Answered by Jasmine L. • History tutor

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