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Simplify: (log(40) - log(20)) + log(3)

First, know the log rule: log(x) - log(y) = log(x/y)Second, know the log rule: log(a) + log(b) = log(ab)So, starting with the brackets: log(40) -log(20) = log(40/20) which is log(2).Now we have: log(2...

ER
Answered by Edward R. Maths tutor
3638 Views

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...

EG
Answered by Eamon G. Maths tutor
5648 Views

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= -24t= -1.5
5n-1.5= 215n= 22.5n= 4.5

Answered by Maths tutor
2995 Views

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(...

CW
Answered by Caleb W. Maths tutor
4037 Views

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 no...

Answered by Maths tutor
3499 Views

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