Search our library of Maths questions

Top answers

Maths

All levels

2017 Edexcel Summer 2017 Q18) 16^1/5 × 2^x = 8^3/4 Work out the exact value of x

As this is a calculator paper, it is acceptable to use one. The first step to calculating the exact value of x is to make it the subject of the equation (i.e. moving it to its own side)2^x = (8^3/4)/(16^1...

Answered by Rory P. • Maths tutor

17655 Views

What is 125^(-2/3)?

Firstly, the negative power sign flips the number the 1/125.The 1/3 part of the power means find the cubic (3rd) root. 1/5Finally the 2 of the power means square the number. 1/25 is therefore the final an...

Answered by Emily R. • Maths tutor

4132 Views

What is the gradient of the curve y = 2x^3 at the point (2,2)?

Firstky differentiate to gain an equation for the gradient.Differentiating gives:dy/dx = 6x²Insert x = 2 into the above equation to find the gradient at that particular point of the curve.When ...

Answered by Emily R. • Maths tutor

7827 Views

Show that the curve y =f(x) has exactly two turning points, where f(x)= x^3 - 3x^2 - 24x - 28

This question is about turning points of a curve, these occur when the gradient of a line is zero. In its current form, the equation of the curve tells us nothing about the gradient of the curve; it must ...

Answered by Joshua A. • Maths tutor

4944 Views

Issy goes to buy some fruit. She has been told by one friend that 2 apples and 3 bananas costs £3.80. She has been told by another friend that 5 apples and a banana costs £3.65. what are the individual costs of an apple and a banana?

To solve this we form two simultaneous equations. To make things easier lets denote apples as A and bananas as B. So this means we can write the above information in two equations like so: EQ1) 2A + 3B = ...

Answered by Kieren H. • Maths tutor

4200 Views