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f(x) = 9x^3 – 33x^2 –55x – 25. Given that x = 5 is a solution of the equation f(x) = 0, use an algebraic method to solve f(x) = 0 completely.

x=5 is a solution, so (x-5) is a factor of f(x). So, to find the other solutions, factorise f(x): f(x)=(x-5)(ax^2+bx+c). We know it will be of this form because f(x) is cubic. To find the values of a, b a...

PR
9803 Views

John ran a 450m race (2sf) in a time of 62 seconds (nearest second). Calculate the difference between his maximum and minimum average speed. (3sf)

S=D/T Max= 455(upper bound)/61.5(lower bound)= 910/123 m/s Min= 445(lower bound)/62.5 (upper bound) = 178/25 m/s Max - Min= 856/3075 m/s

CR
Answered by Christopher R. Maths tutor
4077 Views

How far was the outbreak of the English Civil War due to the king’s character?

The process concerning the outbreak of the English Civil War was a multifaceted one. Tension was apparent across the social spectrum, with lords, members of the clergy, and ordinary people such as traders...

SA
Answered by Safa A. History tutor
2473 Views

“Between 1547 and 1558 England was torn apart by religious revolution” Discuss

The orthodox view of the period between 1547 and 1588 is that during the reigns of “the little tudors” England endured a “mid Tudor crisis” overseen by a weak and sickly boy king followed by his violent h...

EA
Answered by Edward A. History tutor
9743 Views

There are 45 pupils in a class, 1/9 travel to school by train, 2/5 travel to school by car, 2/9 take the bus. Find how many students walk

First the number of children that travel by train can be found by dividing 45 by 9 to give 5. Since we know that double as many take the bus, as 2/9 is the double of 1/9,5x2=10 children take the bus. Then...

KS
Answered by Karina S. Maths tutor
14014 Views

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