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Maths
GCSE

Solve the simultaneous equations 1) 3x + 2y = 4 & 2) 4x + 5y = 17

Find the lowest common denominator of either x or y. x in this example. ( 12x )Multiply both equations such that the x's match this. ( 1) 12x + 8y = 16 & 2) 12x + 15y = 51 )Combine t...

RT
Answered by Robert T. • Maths tutor
2350 Views

y = x^2 + 4x + 7 Find the turning point of the equation by completing the square.

Should start completing the square by figuring out what the square will be ( (x + 2)2 )Figure out what should be added/taken away from the square to complete it by mu...

RT
Answered by Robert T. • Maths tutor
5610 Views

How to calculate conditional probabilities? E.g, say we roll a fair standard six sided die, what is the probability we rolled a 2, given that the roll is even?

Brief overiew of the answer: Since the roll is even, we either rolled a 2, a 4 or a 6, all with equal probabilities. Therefore, the probability we rolled a 2 is equal to 1/3.Formal answer: We write P(2|E)...

KB
Answered by Karlo B. • Maths tutor
4928 Views

(x(x+1))/2 = 3 Solve For x.

Multiply both sides by 2 ( (x(x + 1) ) = 6 )Multiply out the brackets ( x2 + x = 6 )Bring the 6 across ( x2 + x - 6 = 0 )

RT
Answered by Robert T. • Maths tutor
2289 Views

A bag has 3 red balls and 5 green balls. I take out 2 balls, without replacing them. What is the probability of choosing at least one red ball? Give your answer to 3 decimal places.

Student would likely draw a tree diagram to represent the different outcomes. They should recognise that you must add the probability of choosing only one red ball, and two red balls. The outcomes are:Gre...

JG
Answered by Joe G. • Maths tutor
9820 Views

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