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

x = 0.21313... 10x = 2.1313...1000x = 213.1313...1000x - 10x = 211990x = 211x = 211/990
MZ
Answered by Miranda Z. • Maths tutor
6899 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)= 3x 3 - 7 + 5x 2 i) F'(x)= 3 3x 2 + 2 5x F'(x)= 9x 2 + 10x ii) F''(x)= 2*9x + 10 F''(x)= 18x + 10 iii) for maximum or minimum points (stationary points) F'(x)=0 9x 2 + 10x = 0 x * (9x + 10) = 0 x = 0 or...
ID
Answered by Iosif D. • Maths tutor
2039 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 by...
ED
Answered by Erin D. • Maths tutor
10484 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
AH
Answered by Ahmad H. • Maths tutor
4253 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.
EB
Answered by EMMA B. • Maths tutor
4137 Views