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Solve the simultaneous equations: 2x+5y=25, x=y+2

using our second equation, we can see that x=y+2. Therefore we can sub x into the first equation. This will give us 2*(y+2)+5y=25. We can go ahead and expand the brackets, which gives us 2y+4+5y=25. We can c...
LW
Answered by Louis W. • Maths tutor
4308 Views

Given f(x): 2x^4 + ax^3 - 6x^2 + 10x - 84, and knowing 3 is a root of f(x), which is the value of a?

For this exercise we need to be aware of the factor theorem.The factor theorem states when f(c) = 0 then x - c is a factor of the polynomial f(x) and c is a root of f(x). Because we are told that one of the ...
SR
Answered by Sabela R. • Maths tutor
3476 Views

Find a quarter of the area of a circle with a diameter of 10cm.

To find a part of the area we need the whole area first. Find the formula for the area of a circle: A= pi x r 2 We have been given the diameter so we need to work out what the radius is, half of the diameter...
JS
Answered by Joseph S. • Maths tutor
5551 Views

the first four terms in a sequence are 2, 6, 10, 14. what is the nth term? and what is the sum to n terms of the sequence?

the nth term formula is the sum of the first term (a) and the second to last term (n-1) * the common difference (d). so a + (n-1)d where a = 2 and d = 4 in this case is 2 + (n-1) 4 = 4n - 2. the sum to n ter...
JL
Answered by Jake L. • Maths tutor
18511 Views

Jodie works for a bookshop. She is paid £6.50 an hour plus 5% of the cost of each book she sells. On Saturday, Jodie worked for 3 hours and sold £220 worth of books. How much money did Jodie earn?

We can break down this question in to two parts. Firstly we should work out how much Jodie earns for the hours that she worked. Since she worked 3 hours on Saturday to work out how much she was paid we have ...
FA
Answered by Fizzah A. • Maths tutor
4352 Views