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Maths
GCSE

Find the value of x which satisfies the following equation 3x^2 +6x+3 = 0

Factorise the equation: (3x+3)(x+1) = 0. Anything multiplied by 0 is equal to 0 therefore (x+1)=0 and (3x+3) = 0. Solve for x: if x+1 =0 you need to subtract 1 from x to work out what x is (do the opposi...

Answered by Aiysha S. Maths tutor
2852 Views

Ayo is 7 years older than Hugo. Mel is twice as old as Ayo. The sum of their three ages is 77 Find the ratio of Hugo's age to Ayo's age to Mel's age.

  1. Hugo = x Ayo = x + 7 (as he is 7 years old than Hugo's age) Mel = 2 multiplied by (x +7) as she is twice as old as Ayo2) If their ages combined equals 77, you add up all the algebraic equations and...
Answered by Jeenali S. Maths tutor
5026 Views

Find dy/dx of y=x^2 + 2x+1

We differentiate each term individually with respect to x. the way we differentiate powers of x is: x^n goes to nx^(n-1). So x^2 would become 2x, 2x would be just 2 as x^0 is 1 and a constant would just d...

Answered by Vivek M. Maths tutor
3274 Views

There are 150 men, women and children on a plane. For every 7 men there are 2 women, and for every 1 woman there are 3 children. How many men are on the plane?

This question involves ratios; men : women = 7:2; women : children = 1:3. We need to find a common number to combine the two ratios together. If we multiply the women:children ratio by 2, the ratio become...

Answered by Noor M. Maths tutor
4911 Views

The equation of the line L1 is y = 3x – 2 . The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.

In order for two lines to be parallel, they need to have the same gradient (m). The gradient (m) is the coefficient of x in the line equation y=mx+c. Therefore, the gradient of L1 is 3 since 3 is the coef...

Answered by Asimina K. Maths tutor
3342 Views

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