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Given the two curves y1 and y2, verify the two curves intersect at (-5,0) and (2,0)

y 1 = -3x 2 - 9x + 30 , y 2 = x 2 + 3x - 10Equate two curves ( y 1 = y 2 )Obtain following simplified quadratic: x 2 + 3x + 10 = 0Factorise to obtain ( x + 5 ) ( x - 2 ) = 0 and correct x values x = -5 , x =...
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Answered by James P. • Maths tutor
4366 Views

Using an example, explain what a subordinating conjunction is and what effect it has on the sentence it's used in

Subordinating conjunctions are words which connect one or more clauses to form a sentence, for example "dass" (that), "obwohl" (although), "ob" (whether). They must be preceded ...
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Answered by Thomas B. • German tutor
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Solve simultaneously x + y = 1, 2x + 3y =9

To solve this problem I would begin by rearranging the first equation to equal X.1) x + y = 1 -> x = 1 - yI would then substitute this into the second equation.2) 2x + 3y = 9 -> 2(1-y) + 3y = 9Then mul...
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Answered by Isabel C. • Maths tutor
3888 Views

Explain what is meant by "volatile" and "non-volatility" memory, their uses, and the difference between them

The contents of volatile memory, also known as flash memory, is not preserved when the device is turned off, unlike non-volatility memory, also known as persistent memory, which can be used for long term dat...
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Answered by Thomas B. • Computing tutor
7020 Views

You are given a sequence of numbers: -2, 12, 32, 58, 90, ... Work out the 7th term in this sequence.

This is a question from Higher Tier and involves 1) realising that 2nd difference is a constant: 6. 2) knowing that constant 2nd difference implies the sequence is quadratic. 3) remembering or proving that c...
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Answered by Maxym V. • Maths tutor
5962 Views