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A bag contains only 8 beads. The beads are identical in all respects except colour. 3 of the beads are black and the other 5 beads are white. A bead is taken at random from the bag and not replaced. A second bead is then taken at random from the bag. What

There are 8 beads in total; 3 out of 8 are black; 5 out of 8 are white. When the first bead is taken, there is a 3/8 chance of the bead being black, since 3 out of the 8 beads are black. Since the bead is no...
AC
Answered by Adam C. • Maths tutor
7541 Views

Solve 3x^2 + 13x + 14 = 0

Firstly, you need factorise.a = 3 b = 13 c = 14Find 2 numbers which add to make b(13) and multiply to make ac(42). These numbers are 6 and 7You can now split up the x coefficient to: 3x^2 + 6x + 7x + 14. You...
CW
Answered by Charles W. • Maths tutor
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How do I factorise quadratic equations?

To factorise an expression such as x 2 - 8x + 15, you need to look for two numbers that add up to make -8 and multiply to give 15. The only option in this case is -5 and -3 (-5)+(-3)=-8and (-5)x(-3)=15as two...
MG
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How do I find the equation of a line that's perpendicular to another one?

Remember that the equation of a line is y=mx+c and m is the gradient of the line. The gradient of a perpendicular line will be the negative reciprocal of m ( that just means it will be -1/m). You can then us...
VP
Answered by Verity P. • Maths tutor
3853 Views

Solve the simultaneous equations to find the values of x and y: 3x + 5y = -4 and 10x - 4y = -34

Firstly we need to remove one of the variables. We can use the fact that y has different signs to do this. 3x + 5y = -4 multiplied by 4 gives: 12x + 20y = -16 10x - 4y = -34 multiplied by 5 gives: 50x - 20y ...
TD
Answered by Tutor112326 D. • Maths tutor
5855 Views