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Solve the inequality 5x + 3 ≤ 3x − 6

The first step that we need to take is to take all the 'x' terms to one side of the inequality. In this case, we can subtract '3x' from both sides to obtain 2x+3 ≤ -6. Then we want to take all the non- x ter...
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Answered by Ritvik U. • Maths tutor
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(6/x-2)-(2/x+3)=1

a) This question tests you on using fractions, brackets and quadratic equations. We should start by trying to make it into a form we know how to deal with. This will be by the balance method. If we multiply ...
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Answered by Benjamin V. • Maths tutor
3256 Views

How would you find the Max and Min points on a graph?

Max and Mins occur where the slope of a graph equals zero. To find this, if we take the 1st derivative of a function and set the derivative equal to zero to solve for x. The values we solve for "x"...
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Answered by Ellora S. • Maths tutor
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Make y the subject of the equation: t=(y+2)/(4-y)

Multiply by 4-y => t(4-y)=y+2 Expand the brackets => 4t-ty=y+2 Get all the y's on the same side => 4t-2=ty+y Factor out the y => 4t-2=(t+1)y Divide by t+1 => (4t-2)/(t+1)=y
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Answered by Christopher M. • Maths tutor
3992 Views

Find the stationary pointsof the following: (y = x^3 - x^2 -16 x -17) and determine if each point is a maximum or minimum.

Notes; *Stationary (Turning) points are the points on the graph which are lowest or highest. (maximum or minima). *The gradient at a stationary point is zero. Steps: 1. Differentiate the function once to fin...
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Answered by Charlie M. • Maths tutor
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