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Prove that the square of an odd number is always 1 more than a multiple of 4

First, we need to define what an odd number is. An odd number can be expressed as the product of 2n+1, where n can be any whole number bigger than 0. You can check this by inputting a few numbers for n (s...

ED
Answered by Emanuel D. Maths tutor
3556 Views

Solve 7x-5>22-2x

9x>27X>3

LP
Answered by Lucy P. Maths tutor
2877 Views

Find the first and second derivative of f(x) = 6/x^2 + 2x

We can rewrite the function to eliminate the annoying 1/x^2 expression by knowing this can also be expressed by x^-2.f(x) = 6x^-2 + 2xNow we can differentiate this function term by term, first 6x^-2. We k...

Answered by Maths tutor
2868 Views

Expand the following expression and simplify: (3x+2)(4x+5)

12x2 + 15x + 8x + 10 = 12x2 + 23x + 10

PD
Answered by Priscilla D. Maths tutor
4289 Views

A car depreciates at 8% per year. The initial price of the car is £25,000. How much will the car be worth after 4 years? After how many years will the car be worth less than £14,000?

This problem is all about compound interest except this time the value is going down not up. To increase a value by 8% you would multiply it by 1.08 as 8% is 0.08 (1+0.08). To decrease a value however you...

HT
Answered by Hannah T. Maths tutor
7003 Views

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