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Maths
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Write x^2-4x+9 in the form (x-p)^2+q, where p and q are integers.

To complete this task we use a method called "Completing the square. For this we use a formula (a+b)^2=a^2+2ab+b^2.
Now we see that in the example we have a term x^2 so we put x^2=a^2 so we can ...

MS
Answered by Maria S. Maths tutor
5938 Views

P=(3a+5)/(4-a) Make a the subject

P=(3a+5)/(4-a)First of all we need Get rid of the denominator, we do this by multiplying both sides by (4-a)This leaves P(4-a)=3a+5 (as any term multiplied by the denominator leaves only the numerator)Th...

JS
Answered by Joshua S. Maths tutor
4340 Views

Rearrange v = u + at to make t the subject of the formula

t = (v - u) / a

GK
Answered by George K. Maths tutor
33331 Views

f(x)=ln(3x+1), x>0 and g(x)=d/dx(f(x)), x>0, find expressions for f^-1 and g

f^-1(x)=(e^x-1)/3 g(x)=3/(3x+1)

GK
Answered by George K. Maths tutor
4283 Views

A line has equation y=3x+4, state the gradient and the y-intercept

The gradient is always the number in front of the x, in this case it will be 3. Whereas for the y-intercept, it will always be the value that y equates to when x=0, in this case the y-intercept is (0,4).<...

RF
Answered by Ryan F. Maths tutor
30511 Views

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