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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
7932 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...
OW
Answered by Oak W. • Maths tutor
3852 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
7170 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
3469 Views

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

3a^2b(a + 4b + 3a^3b^2 )
CM
Answered by Claudia M. • Maths tutor
4644 Views