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Make y the subject of the formula. x=(6+2y)/(3-y)

To make y the subject of the formula you have to rearrange it so that it starts with 'y=' instead of 'x='. Starting with x = (6+2y)/(3-y), if we get rid of the fraction by multiplying both sides by (3-y), yo...
JT
Answered by Jema T. • Maths tutor
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P is a point on a circle with the equation x^2 + y^2 = 45. P has x-coordinate 3 and is above the x axis. Work out the equation of the tangent to the circle at point P.

First insert x = 3 into the equation of the circle3^2 + y^2 = 459 + y^2 = 45 take 9 away from both sidesy^2 = 36 take the square root of both sidesy = 6 (not -6 as P is above the x-axis)Next find the gradien...
EW
Answered by Emily W. • Maths tutor
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How do I identify that the coordinate (2,3) is the maximum point of the curve f(x)?

Start by finding the first derivative of the function - by differentiating f(x) with respect to x. Then substitute the x-coordinate, in this case 2, into the first derivative and it will equal zero if (2,3) ...
Answered by • Maths tutor
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What is differentiation and what can it tell me?

Differentiation is something you can do to a function, to tell you about the gradient of the function. For your simple linear, quadratic, cubic, etc. equations, the process is the same every single time. You...
OP
Answered by Oliver P. • Maths tutor
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A group of 44 pupils were asked if they owned a phone or a tablet. 5 people are known to own both 3 said they only owned a tablet 17 said they owned at least a phone A student is picked a random, what is the probability that the student doesn’t have

So in this question, there are 4 main people in this question; those who own ONLY a phone, ONLY a tablet, both a phone or a tablet or NONE. How do you think we could represent this information? Prompt studen...
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Answered by Niki C. • Maths tutor
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