Top answers

Solve the inequality 4x^2​>5x-1

We first rearrange the inequality to obtain 4x 2 -5x+1>0 Initially we approach this as if it were 4x 2 -5x+1=y, looking for y=0 We then look for solutions, the most general way is to use the quadratic for...
CL
Answered by Christopher L. • Maths tutor
9564 Views

How do I plot y=x^2-1?

To plot any graph, you need to find out where the curve cuts the x and y-axis, and where it's stationary points are, aswell as what type of stationary point you have. Here are the steps: 1) Let x=0; find whe...
LP
Answered by Laura P. • Maths tutor
6540 Views

A curve is described by the equation x^3 - 4y^2 = 12xy. a) Find the points on the curve where x = -8. b) Find the gradient at these points.

a) The first part of this question is asking us to find points, (x,y), such that x = -8. By taking the equation and substituting in x = -8, we should find values, y, such that the points given are (-8,y). (-...
BC
Answered by Ben C. • Maths tutor
16694 Views

How do you solve the following simultaneous equation?

2x - 6y = 18 4x + 3y = 6 First, make either the x or y the same value by multiplying the equations. Let's choose x. 2x - 6y = 18 x2 4x + 3y = 6 x1 (+)4x - 12y = 36 (+)4x + 3y = 6 Now, we use the rule of 'sam...
JE
Answered by Jason E. • Maths tutor
6225 Views

How do I find the nth term of a sequence?

For any sequence where there is a common difference (it increases or decreases with the same amount, n, each time) you can find the nth term using the formula: dn+(a-d) "a" is the value of the firs...
LM
Answered by Laura M. • Maths tutor
32157 Views