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Show that (2x^2 + x -15)/(2x^3 +6x^2) * 6x^3/(2x^2 - 11x + 15) simplifies to ax/(x + b) where a and b are integers

As you begin the question, it is important to note that immediately multiplying the two fractions, while would eventually get you to the correct answer would take far too long in an exam scenario. Instead, w...
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Answered by Joe O. Maths tutor
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Solve the simultaneous equations x – 2y = 1 and x^2 + y^2 = 29.

Start by modifying the first equation and making a third x=2y+1x 2 = (2y+1) 2 x 2 =4y 2 +4y+1therefore, if we sub this 3rd equation into the 2nd equation we get :4y 2 +4y+1+y 2 =29 5y 2 +4y-28=0 5y 2 -10y+4y...
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Answered by Adamya P. Maths tutor
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Explain how blood glucose levels are controlled and how this is an example of negative feedback mechanisms.

The pancreas detects rises in blood glucose levelsThis triggers pancreatic beta cells to secrete insulin, and inhibits alpha cells from secreting glucagonInsulin stimulates the uptake of glucose into cells a...
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Answered by Hannah L. Biology tutor
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Name three modifiable and three non-modifiable risk factors of coronary artery disease.

Modifiable; SmokingObesity High cholesterol Non-modifiable; AgeGenderRace
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Answered by Hannah L. Biology tutor
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Identify the word class and archaic spelling patterns of the following words using appropriate terminology: A) 'Passe' B) 'Seruice' [4 marks]

This question highlights the importance of basic terminology and is specifically asking to identify the word class and archaic spelling pattern of each word. In order to decipher the two components the quest...
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