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Maths
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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 bi...

AM
Answered by Annabelle M. Maths tutor
7420 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 b...

JH
Answered by James H. Maths tutor
6882 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.

Integ...

FB
Answered by Fraser B. Maths tutor
3822 Views

How do you convert between fractions, decimals and percentages?

For example, 7/10 is the same as 0.7 and 70%. Percentages are actually all fractions out of 100. 70% is 70/100, 50% is 50/100, etc. When these are written as fractions they should be simplified so the den...

ED
Answered by Elena D. Maths tutor
3163 Views

Could you explain ratios to me?

Imagine there's a cake, and you wanted to share that cake evenly between three people. You would cut the cake into three pieces and each person would get a piece. Now, imagine you had another cake and sti...

JR
Answered by Javed R. Maths tutor
3495 Views

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