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Find the value of x in the equation 3x + 5 = 11

x is a positive number - the question for us is what the value of x is. To find this, we will have to rearrange the equation given. There are multiple ways of doing this. Firstly, we can make the equation...

Answered by Rory C. • Maths tutor

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If the probability of picking a red ball out of bag A is 2/5 and the probability of picking a red ball out of bag B is 3/7, what is the chance that you will pick exactly 2 red balls if you pick 2 balls from A and 1 ball from B? The balls are not replaced.

Draw a tree diagram. Recognise that the second ball selected from bag A is dependent on the outcome of the first ball. The outcome of the ball selected from B is independent. There are 3 orders that 2 red...

Answered by Nicky M. • Maths tutor

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How do you factorise x^2 - 4?

x^2 - 4 consider that in any quadratic the two numbers which end up in the brackets at the end must add up to the middle term in x. they must also multiply to make the number at the end of the quadratic t...

Answered by Zachary M. • Maths tutor

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Show that (x+1)(x+2)(x+3) can be written in the form ax^3 +bx^2 + cx + d where a,b,c,d are positive integers.

First we shall expand two of the brackets to obtain a quadratic equation and then multiply each term by the remaining bracket. The order with which we expand the brackets does not matter. Use the FOIL met...

Answered by Scott W. • Maths tutor

6892 Views

Tom thinks of a number. He squares it, adds 3 times the original number and then subtracts 18. The result is 0. What two numbers could Tom have been thinking of?

Formulate the problem algebraically:x²+3x-18=0This is a factorisation problem. To find the solutions, factorise:-Factors of x² are 1 and 1, so answe...

Answered by George H. • Maths tutor

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