Search our library of Maths questions

Top answers

Maths

All levels

Express the recurring decimal 0.21313... as a fraction.

x = 0.21313... 10x = 2.1313...1000x = 213.1313...1000x - 10x = 211990x = 211x = 211/990

5952 Views

Find the first and second order derivative of the function, F(x)= 3x^3 - 7 + 5x^2, and then identify the maximum or minimum points.

F(x)= 3x³ - 7 + 5x²
i) F'(x)= 33x²+ 25x
F'(x)= 9x² + 10x
ii) F''(x)= 2*9x + 10
F''(x)= 18x + 10
iii) for maximum or minimum...

Answered by Iosif D. • Maths tutor

1632 Views

Expand and simplify (2x+4)(x+2)

In order to expand this expression, we use what is known as the FOIL method. This stands for First, Outside, Inside and Last. First, we multiply the first term in each bracket by each other. 2x multiplied...

Answered by Erin D. • Maths tutor

8394 Views

Express 6x^2+4x-1 in the form a(x+b)^2+c

In this case we need to complete the square as follows:6((x+2)^2-4)-1= 6(x+2)^2-24-1= 6(x+2)^2-25where a = 6, b = 2, c = -25

Answered by Ahmad H. • Maths tutor

3707 Views

A bag contains 4 red counters and some blue counters in the ratio 1:4 respectively. How many counters are there in the bag altogether?

Calculate how many blue counters there are first. 4 divided by 1 = 4.4 multiplied by 4 = 16.16 blue counters in the bag.4 red counters and 16 blue counters makes 20 counters in the bag.

Answered by EMMA B. • Maths tutor

3548 Views