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Show that (2x^2 + x -15)/(2x^3 +6x^2) * 6x^3/(2x^2 - 11x + 15) simplifies to ax/(x + b) where a and b are integers

As you begin the question, it is important to note that immediately multiplying the two fractions, while would eventually get you to the correct answer would take far too long in an exam scenario. Instead, w...
JO
Answered by Joe O. • Maths tutor
6728 Views

Solve the simultaneous equations x – 2y = 1 and x^2 + y^2 = 29.

Start by modifying the first equation and making a third x=2y+1x 2 = (2y+1) 2 x 2 =4y 2 +4y+1therefore, if we sub this 3rd equation into the 2nd equation we get :4y 2 +4y+1+y 2 =29 5y 2 +4y-28=0 5y 2 -10y+4y...
AP
Answered by Adamya P. • Maths tutor
7634 Views

In a box, there is 1 more green pens than black pens. The probability of taking 2 black pens is 0.2 . How many pens are in the box?

g = b+8g+b = p = 2b+1(b/p) x (b-1)/(p-1) = 1/5(b^2 - b)/(p^2 - p) = 1/5sub in p= 2b+1(b^2 - b)/(4b^2 + 2b) = 1/55b^2 - 5b = 4b^2 + 2bb^2 -7b = 0b = 7 or b = 0 (cannot be 0 as 2 pens must be taken)p = 2(7) + ...
JL
Answered by James L. • Maths tutor
3465 Views

A bag with 750 balls is comprised of 300 red, 200 blue and 250 green. What is the probability of three green balls being in succession, providing the ball is put back between each turn.

1/27 (1/3 x 1/3 x 1/3)
JS
Answered by Jack S. • Maths tutor
3232 Views

write 17/3 as a proper fraction

5 and 2/3
JS
Answered by Jack S. • Maths tutor
3795 Views