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Find the value of x if the following is true: 3(x – 2) < 8 – 2x

So our first priority is to get all the Xs onto on side and add them together. But we cant do that just yet because of 3(x-2). so lets move all X values to the left of the equation 3(x-2) + 2x &lt; 8 (Notice...
PD
Answered by Peter D. • Maths tutor
4666 Views

Express 1/(x(1-3x)) in partial fractions.

1/(x(1-3x))= A/x+ B/(1-3x) 1= A(1-3x) + B(1-3x) when x=0 1=A when x= 1/3 1=B/3 so B=3 1/(x(1-3x))= 1/x + 3/(1-3x)
LB
Answered by Laura B. • Maths tutor
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Expand and simplify (m + 3)(m + 10)

(m+3)(m+10) m 2 + 3m+ 10m + 30 m 2 +13m+ 30
LB
Answered by Laura B. • Maths tutor
17161 Views

Express 9^(3x+1) in the form 3^y, giving "y" in the form "ax+b" where "a" and "b" are constants.

9= 3 2 so 9 3x+1 = 3 2(3x+1) = 3 6x+2 y= 6x+2 where a=6 and b=2
LB
Answered by Laura B. • Maths tutor
20011 Views

Express (16x+78)/(2x^2+25x+63) as two fractions

Firstly factorise the denominator to get (2x+7)(x+9). Then make the fraction equal to the seperate fractions with constants. E.g 16x+78/2x^2+25x+63=A/(2x+7)+B/(x+9). then multiply accross by the denominator ...
GD
Answered by Georgia D. • Maths tutor
3956 Views