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Express f(x) = x^2 + 5x + 9 in the form (x + a)^2 + b, stating the values of a and b.

The question asks you to complete the square on the function f(x). First, we split the function: f(x) = (x^2 + 5x) + 9 And recognise that we need the form (x^2 + 2k + k^2). Identifying 2k = 5, we have that k...
LB
Answered by Lee B. • Maths tutor
8178 Views

Simplify (4^2)*(2^3)*16

Indice rules are fundamental in answering this question 1) (a b )(a c ) = a (b+c) 2) (a b )/(a c ) = a (b-c) 3) (a b ) c = a (b c) 4) a (-b) = 1/(a b ) 5) a 0 = 1 We can simplify 4 2 to (2 2 ) 2 and using ru...
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Answered by Oak W. • Maths tutor
4009 Views

Solve 6x-5 > 4x+13

6x - 5 > 4x + 13 (Take away 4x from each side) 2x - 5 > 13 (Add 5 to each side) 2x > 18 (Divide both sides by 2) x > 9
NH
Answered by Namita H. • Maths tutor
7367 Views

Solve the equation 3x^2/3 + x^1/3 − 2 = 0

Let u = x^1/3 The equation can therefore be written as: 3u^2+u-2=0 This can be factorised to: (3u-2)(u+1)+0 Therefore: u = 2/3 or u = -1 OR x^1/3 = 2/3 or x^1/3 = -1 So: x = (2/3)^3 or x = (-1)^3 x = 8/27 or...
NH
Answered by Namita H. • Maths tutor
10500 Views

How many thirds are there in eight?

Whilst this question seems complicated because numbers have been thrown in with words it is infact a simple question. There are 3 thirds in one. 1/3 + 1/3 + 1/3 = 1 Therefore there are 8 x 3 thirds in 8 8 x ...
TF
Answered by Tori F. • Maths tutor
26820 Views