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Simplify 125^(-2/3)

Simplify 125 -2/3 A negative indices means that we need to reciprocate the number or "flip it": 125 -2/3 = (1/125) 2/3 A fractional indices can be split up based on the denominator and numerator. H...
BH
Answered by Bethan H. • Maths tutor
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I’m having some trouble understanding functions. Mainly concerning how to know what the input and outputs are. Could you give me an explanation?

The best way to think about a function is to see it as a machine. Your input is the item you put into the machine, the function is what the machine does, and then when you get out of the other side is your o...
CJ
Answered by Chelsie J. • Maths tutor
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Find the value(s) of x which satisfies the equation 3x^2 + 6x + 3 = 0

First we must multiply the coefficient of x2 by the value with no x associated with it3x3 = 9Now we must find two numbers that add to make 6 and multiply to make 9+6x9 3 and 3Now we need to split the coeffic...
JG
Answered by Jacob G. • Maths tutor
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The line L1 is given by the Equation y =3x+5, and the line L2 is given by the Equation 4y-12x+16=0. Show that the lines L1 and L2 are Parallel

Rewrite the equation for L2 to find an equation for y4y=12x-16; y = 3x - 4 2. The x-coefficient gives the gradient (or slope) of the line, so since the gradient of L1 is 3, and as we have just shown, the gra...
WS
Answered by William S. • Maths tutor
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Solve the simultaneous equations for x and y: 3x+3y=5 and 6x+5y=9

3x+3y=5 6x+5y=9Multiply the first equation by 2 to get a workable x coefficient:6x+6y=10Write the equations above each other and subtract them:6x+6y=10 - 6x+5y=9 y = 10-9y = 1 By substituting your answer for...
JC
Answered by Joe C. • Maths tutor
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