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Solve the quadratic equation X^2+3X+2=0 by factorisation.

There are different ways of solving quadratic equations but this one asks for you to solve by factorisation. This is where you take the equation on the left hand side and rewrite it into brackets - two bits ...
AM
Answered by Annabelle M. • Maths tutor
9152 Views

List the following compounds in order of increasing acidity in aqueous solution, giving reasons for your choices: HCl, HI, HBr, HF.

The acidity of a compound is measured by its pKa, which is defined as: pKa=-log([H + ]) ([H + ] is the concentration of H + in solution). As [H + ] increases, pKa decreases, meaning strong acids have low pKa...
PS
Answered by Promeet S. • Chemistry tutor
23068 Views

Why does adding a constant to a function's input (as in f(x-a)) shift the plot of the function along the x-axis?

Imagine the function f(x) as a black box which takes in any value x and produces an output y. The black box acts on its input according to a rule which produces a unique value of y for a given x. If the blac...
JH
Answered by James H. • Maths tutor
7827 Views

I'm applying to study a subject I have never studied before; how can I show universities I am a good fit for this degree?

Universities are interested in who you are as a person, not just as a results sheet. University is a time to finally focus on studying something you are truly interested in, so you need to show through your ...
LM
8934 Views

Solve the following definite integral: f(x)=3e^(2x+1) for the limits a=0 and b=1, leaving your answer in exact form.

First set up integral. Do not forget dx! Int(f(x)) between 0 and 1 Optionally take out factor of 3 to simplify problem. Solve using substitution and the exponential rule. Integrated function should be (3/2)e...
FB
Answered by Fraser B. • Maths tutor
4842 Views