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Maths
GCSE

The equation of a curve is y=(x+3)^2 +5, what are the co-ordinates of the curve's turning point?

Differentiate y with respect to x:dy/dx = 2(x+3) = 2x+6When the above equation is equal to 0, this is where the turning point of the curve is.2x+6 = 02x = -6x = -3Therefore, at x = -3, the curve has a tur...

Answered by Harry H. Maths tutor
2655 Views

How do I rearrange and make y the subject in equations such as "(y/4) - X = 1"?

The aim is to finish with an equation that looks like "y = .....". We want Y and X on separate sides.The main thing to remember is that whatever you do to one side of the equation, you also do t...

Answered by Dulcie S. Maths tutor
2457 Views

A class of 10 students all complete a maths exam. Their marks are as follows: 67, 82, 48, 36, 55, 95, 19, 49, 62 and 73. Find the mean, median and range.

First let's start with the mean, the formula for the mean is: (Sum of terms)/(amount of terms). We know the amount of terms is 10 as this is in the questions, to find the sum of the terms we add all the m...

Answered by George A. Maths tutor
2058 Views

Solve the equation: x^2+7x=-12

The first step for this question is to rearrange the equation to get the right hand side equal to 0.x^2+7x+12=0Next, we have to try and factorise this equation. We do this by considering what two numbers ...

Answered by George A. Maths tutor
3158 Views

All tickets to the movie theatres cost the same price. Jessica and Thomas pay £84 together. Jessica pays £38.5 for 11 tickets. How many does Thomas Buy?

Firstly, you form the question into an equation. for example, J + T = 84. We know Jessica paid £38.50, so now we can add that to the equation. 38.50 + T = 84. Now that we have does this we move the 38.5 t...

Answered by Kate P. Maths tutor
2035 Views

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