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Given that x(a+bx)(a-bx)=25x-4x^3, what is the value of b^(-a)? a,b>0

It's a two part question. First Part Expand the equation the left hand side to get a^(2)*x-b^(2)*x^3 thus comparing co-efficients a^2=25 and b^2=4 thus a= 5 b=2 Second Part Therefore b^(-a) is equal to 2^(-5...
CP
Answered by Cameron P. • Maths tutor
10570 Views

Solve the inequality 7x+3y-4 > 5y-19x for y in terms of x.

7x+3y-4 > 5y-19x Adding 19x to both sides: 26x+3y-4 > 5y Subtracting 3y from both sides: 26x-4 > 2y Divide both sides by 2 to put the expression in its simplest form: 13x-2 > y or (remembering to...
DL
Answered by Danny L. • Maths tutor
4282 Views

How did the Nazi party win the hearts and minds of the German population in the 1930s?

This question is very broad and there are many reasons for how the Nazi party were popular in Germany. Examples include their use of propaganda, most specifically their rhetoric of the 'volksgemeinschaft', m...
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Answered by George A. • History tutor
6945 Views

What are Newton's three laws?

First: an object remains at rest or constant speed unless acted on by an external force Second: Force is equal to rate of change of momentum Third: Every action has an equal and opposite reaction
CD
Answered by Charlie D. • Physics tutor
2488 Views

How would you derive y = function of x; for example: y = 3x^3 + x^2 + x

The best way to remember derivatives is to use algebra, and the general function is y = ax n -> dy/dx = anx n-1 So for this equation dy/dx = (3x3)x 3-1 + (2x1)x 2-1 + 1x 1-1 So the answer would be dy/dx =...
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Answered by George A. • Maths tutor
3608 Views