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Solve the simultaneous equation 2x + y = 18 and x - y = 6

With linear simultaneous equations the best thing to do is find one variable first and in this question we will find x first. We will start by rearranging the second equation to give us y = x - 6. Now we wil...
RO
Answered by Rita O. • Maths tutor
6851 Views

Fully factorise and simplify (x^2 +7x + 10) / (x^2 - 25)

Simplify the numerator (top) by finding the pair of numbers which multiply together to give the C term of the quadratic, and add to give the B term. This gives 2 and 5 so the equation becomes (x+2)(x+5) / (x...
NP
Answered by Nikolai P. • Maths tutor
4966 Views

What type of studies can be used to assess the extent to which genes can cause psychopathology?

Twin studies are exceptionally important when studying the effect of genes on behaviour and psychopathology. Twins can be MZ (monozygotic) twins who share 100% of their DNA so they have identical genotypes, ...
GW
Answered by Gemma W. • Psychology tutor
2287 Views

Two beakers contain water at room temperature. One contains 200ml, the other 400ml. If both beakers are heated above identical Bunsen burners, which of the two will take longer to boil?

The equation dQ = m c dT tells us how the temperature of an object changes when heat energy dQ is added. In this case the specific heat capacity c is the same for the contents of both beakers since we are he...
KJ
Answered by Keita J. • Physics tutor
7248 Views

A house is bought for £150,000 at the start of 2005. For 3 years it loses 10% of its original value per year. After this time it loses 10% per year. What was its value at the end of 2011/start of 2012?

Original value = 150,000 10% original value =15,000 After 3 years year is 2008, house value = 150,000 - 3*(15,000) = 105,000Until start of 2012 from start of 2008, so 4 years of compound intrest. New value o...
HF
Answered by Henry F. • Maths tutor
3499 Views