Top answers

3n + 2 < 14, and 6n / (n ^2 + 5) >1. Find the values that n can take.

This is a inequality question. There are two separate inequalities and the values n can take are the solutions of n that overlap between the 2 inequalities. First inequality: 3n&lt; 12 therefore n &lt;4 . Se...
MT
Answered by Mudit T. • Maths tutor
4264 Views

Solve this simultaneous equation: 6x+2y = 26 and 8x + 3y = 32

If 6x + 2y = 26 then 26 - 6x = 2yy = 13 - 3xSo, using the substitution method.... into 8x + 3y = 328x + 3(13 - 3x) = 328x + 39 - 9x = 32-x + 39 = 3232 + x = 39x = 39 - 32 = 7Sub x = 7 into 6x + 2y = 266(7) +...
SW
Answered by Samuel W. • Maths tutor
4098 Views

Find (dy/dx) of x^3 - x + y^3 = 6 + 2y^2 in terms of x and y

In order to differentiate this expression, we need to use implicit differentiation. An expression in the form y = f(x), where f(x) means &quot;a function of x&quot;, is called an explicit equation and needs ...
Answered by • Maths tutor
3917 Views

If x^2-5x+6=0, solve for x.

Since x^2-5x+6=0 is a quadratic we need to factorize before solvingAll quadratics fall under this formula ax^2+bx+c=0 so in this case a=1, b=-5 and c=6Drawing the very common ac b table we get: ac|b 6 |-5So ...
ME
Answered by Matthew E. • Maths tutor
3659 Views

The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a

m=y-y 1 /x-x 1 5=1-(-2a)/a-15=1+2a/a-15(a-1)=1+2a5a-5=1+2a3a=6a=2
TB
Answered by Theo B. • Maths tutor
4061 Views