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John is n years old where n is an whole number. Kim is three years younger than John and Vanessa is half of Kim's age. Write an expression for Vanessa's age in terms of n.

Just to make things easier to write I will be using some letters to mean things.I will write:J = John's ageK = Kim's ageV = Vanessa's age.So John is n years old so John's age is n --> J = n. Kim is three ...
JM
Answered by Jack M. • Maths tutor
5263 Views

What is the remainder when you divide 2x^3+7x^2-4x+7 by x^2+2x-1?

Before we answer the question let's compare the method taught for polynomial long divison to regular long division.If we wanted to find the remainder of 71 when divided by 3, we would find the nearest whole ...
JM
Answered by Jack M. • Maths tutor
4671 Views

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
6811 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
2004 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
10277 Views