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Sketch and label the graph of y=x^2 -5x+6

First we can try and factorise the expression:So we want to find 2 numbers that multiply to 6 and add to -5... after some thinking we get -2 and -3. The factorised expression is y=(x-2)(x-3). To find where t...
EG
Answered by Eamon G. • Maths tutor
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Solve this simultaneous equation: 5n+t= 21 n-3t=9

5n+t= 21n-3t=9 n= 9+3t5(9+3t)+t= 2145+15t+t= 2145+16t= 2116t= -24 t= -1.5 5n-1.5= 215n= 22.5 n= 4.5
Answered by • Maths tutor
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There are 4 blue balls, 2 red balls, and 5 green balls in a bag. James removes one ball and does not replace it. James removes a second ball. What is the probability that both balls will be the same colour.

Total number of balls = 4 + 2 + 5 = 11 (this is our denominator for first draw)Numerator is the number of each colour. When we remove a ball the denominator and numerator for that colour decrease by 1. P(2 b...
CW
Answered by Caleb W. • Maths tutor
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How should I calculate the values of a and b when a(4x+12) is equivalent to 2x+36b?

Firstly, start off by expanding the brackets on the left hand side of the equation a(4x+12) would expand as below: 4x multiplied by a gives 4ax12 multiplied by a gives 12a We now know that 4ax is the equival...
Answered by • Maths tutor
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Solve these simultaneous equations: 7x+3y=84, 2x+2y=32

Make x the subject of either equation:x = (32-2y)/2;x = 16-yRepresent an equation as a function of y only: 7(16-y)+3y = 84;112-7y+3y = 84;112-4y = 84;-4y = -28; y = 7Use the value of y to determine value of ...
TP
Answered by Thomas P. • Maths tutor
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