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How do I solve these two equations simultaneously: 7x+y=1 and 2x^2 - y = 3

These types of questions can sometimes throw people off due to the quadratic nature of the second equation but don't fret; we'll use a method called substitution to find the answer!

Firstly, we

Answered by Zacchaeus S. • Maths tutor

2699 Views

The distance from the Earth to the Sun is 93 million miles. Assume it takes 365 days for the Earth to travel once around the Sun the Earth travels in a circle with the Sun at the centre. Work out the average speed of the Earth in miles per hour

1^st calculate: 93 000 000 × 2π 2^nd calculate: 365×24 Then divide the two values: 186 000 000π÷8760 = 66705 (5 s.f.)

Answered by Simbarashe J. • Maths tutor

8575 Views

Find the turning points and their nature of the graph y = x^3/3 - 7x^2/2 + 12x + 4

Answer = (3,17.5) maximum (4,17.33) minimum

First differentiate y = x^3/3 - 7x^2/2 + 12x + 4 to find dy/dx. Now, at turning points dy/dx = 0 and factorise to find x when dy/dx = 0. Put x back into ...

Answered by John S. • Maths tutor

8229 Views

What is the method of doubt?

The method of doubt is a method developed by the philosopher René Descartes (1596 -1650) in his famous essay, Meditations on First Philosophy (1641). Descartes goal was to find a method which all...

Answered by Adriana A. • Philosophy tutor

58706 Views