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Maths
GCSE

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 = ...

LB
Answered by Lee B. • Maths tutor
6541 Views

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

Indice rules are fundamental in answering this question 1) (ab)(ac) = a(b+c)  2) (ab)/(ac) = a(b-c)  3) (ab)c = a

OW
Answered by Oak W. • Maths tutor
3060 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
6200 Views

Frank owns an ice cream van. When he bought the van five years ago and an ice cream cost £1.50. If the price of an ice cream increases by 3% a year how much does an ice cream cost now?

new amount = old amount * (1 + interest)^(number of times interest has occured)

new amount = 1.50 * (1 + 0.03)^5 = £1.74 (rounded to 2 decimal places)

TN
Answered by Thomas N. • Maths tutor
2844 Views

(a) Factorisefully 3a3b+12a2b2 +9a5b3

3a^2b(a + 4b + 3a^3b^2 ) 

CM
Answered by Claudia M. • Maths tutor
3870 Views

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