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Simplify: 2x + 6y + 2y - x

Step 1) Rearrange the equation as follows: (2x - x) + (6y + 2y) this makes it easier to see which values you can add together.Step 2) Solve the calculation in each bracket: x + 8y. Successfully simplifyin...

BL
Answered by Benjamin L. Maths tutor
3351 Views

Factorise x^2 + 8x + 12 (2017 non-calculator paper)

This question requires you to work through methodically in stages. We want two numbers, a and b, which fit into brackets of the form: (x + a)(x + b). By doing this, we have simplified the expression throu...

EM
Answered by Ella M. Maths tutor
3605 Views

Solve the simultaneous equations x + y = 3 and x^2 + y^2 = 5

Find an expression for y
y = 3 - x
sub this into the second equation
x^2 + (3 - x)^2 = 5
then expand the brackets
x^2 + x^2 - 6x + 9 = 5
simplify
2(x^2 - 3x + 2) = 0<...

KW
Answered by Kate W. Maths tutor
14961 Views

y = 2x^3 + 15x^2 + 24x + 10 Find the stationary points on this curve and determine their nature

First differentiate the function to obtain
dy/dx = 6x^2 + 30x + 24
Then set this equal to 0 and solve to find the x values of the stationary points
6x^2 + 30x + 24 = 0
6(x^2 + 5x + 4) ...

KW
Answered by Kate W. Maths tutor
9848 Views

In a sale, the original price of a bag was reduced by 1/5. The sale price of the bag is £29.40. Work out the original price.

£29.40 represents 4/5 of xThus to find x, we must multiply 29.40 by 5/4:
29.40/4 = 7.35 (this is 1/5) 7.35 x 5 = 36.75 (this is 5/5, the original price)
Original price = £36.75

RW
Answered by Robert W. Maths tutor
3770 Views

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