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(Maths GCSE) Solve the simultaneous equations y = x + 3 and y = x^2 + 3x

Y = x + 3Y = x^2 + 3x x + 3 = x^2 + 3x3 = x^2 + 2xx^2 + 2x - 3 = 0(x+3)(x-1)=0x=-3 x+1
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Answered by Kate A. • Psychology tutor
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Which two methods of single cell transcriptomic data ordering could be used to understand how gene expression changes as stem cells differentiate.

Clustering involves grouping together genes or cells or both based on similarities. This involves the formation of subpopulations. Pseudotemporal ordering puts cells in order of progression through a biologi...
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Answered by Alicja B. • Biology tutor
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Find the value of (cos(x) + sec(x))^2 with respect to x when evauated between pi/4 and 0

first we have to see if this proble can be done via inspection. The power of two means that this can't be done straight away and the expression does not look like any trig identities. Expand it. through this...
EC
Answered by Eugene C. • Maths tutor
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Integrate (sin(x))^6 - Further mathematics (De Moivre's theorem)

Recall that sin(x) = (e ix -e -ix )/(2i) and we can rewrite the integrand as {(e ix -e -ix )/(2i)} 6 Factor out {1/(2i)} 6 , which is -1/64, of the integrand (just to make algebra easier)Use binomial expansi...
AP
Answered by Akaash P. • Maths tutor
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Tu passes un bon moment en vacances et tu décides d’envoyer un e-mail à ton ami pour lui raconter. Écris l’e-mail que tu lui enverrais.

Salut Sébastien,J’espère que ça va bien et que tu passes de bonnes vacances! Je suis avec ma famille au ski dans les Alpes. C’est génial! Il a y beaucoup de neige donc on a fait beaucoup de pistes. On a auss...
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Answered by Mariella S. • French tutor
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