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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 multiplying out ( (x + 2) 2 + 3 ) Correct...
RT
Answered by Robert T. • Maths tutor
6846 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) to...
KB
Answered by Karlo B. • Maths tutor
6298 Views

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

Multiply both sides by 2 ( (x(x + 1) ) = 6 ) Multiply out the brackets ( x 2 + x = 6 ) Bring the 6 across ( x 2 + x - 6 = 0 ) Either using the quadratic formula or spotting the factors solve for x ( x = -3 o...
RT
Answered by Robert T. • Maths tutor
2803 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:Green ...
JG
Answered by Joe G. • Maths tutor
10995 Views

Solve the following algebraic equation: x^2 + 6x + 9 = 0

I would explain on the whiteboard how to factorise itleading them to having two brackets, (x + 3) and (x+3). Could also be written as (x+3)^2then teach them on whiteboard how to solve the equation(x+3)^2 = 0...
IJ
Answered by Isabella J. • Maths tutor
2425 Views