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Solve the simultaneous equations x^2 +8y=20 and y=x+4

To begin you must substitute the value of y provided into the first equation. The would change the equation into the following form:x^2+8(x+4)=20. Now expand the bracket so that the equation becomes:x^2+8x+3...
AM
Answered by Anthony M. • Maths tutor
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Differentiate y=x^x with respect to x.

y=x^x, taking natural log of both sides ln(y)=ln(x^x), using laws of logs ln(y)=xln(x), using product rule and implicit differentiation dy/dx 1/y=ln(x)+1 dy/dx=(ln(x)+1)y dy/dx=(ln(x)+1)x^x
Answered by • Maths tutor
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Explain the concept of internal economies of scale and the three stages of returns that can occur when firms increase their factors of production? Graphs maybe used in your answer

Internal economies of scale are centred around the relationship of a firm increasing its factors of production ie. its inputs and how this affects the average cost of producing goods. The general concept is ...
CK
Answered by Colm K. • Economics tutor
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Solve the following simultaneous equations. x^2 + 2y = 9, y = x + 3

x^2 + 2y = 9y = x + 3 x^2 + 2y = 9x^2 + 2(x+3) = 9x^2 + 2x + 6 = 9x^2 + 2x - 3 = 0(x + 3)(x - 1) = 0x= -3, x = 1 when x = -3y = x + 3y = (-3) + 3y = 0 when x = 1y = x + 3y = (1) + 3y = 4
JF
Answered by John F. • Maths tutor
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Describe the process of gene transcription?

Transcription is the process in which a gene's DNA sequence is copied to form a messenger RNA molecule. The DNA molecule unwinds due to the action of DNA helicase. RNA nucleotides complementary base pair wit...
JF
Answered by John F. • Biology tutor
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