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Construct a graph corresponding to the linear equation y equals 2x - 6?
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To find critical points?
Take the derivative of the function and set it equal to zero. The solution(s) are your critical points.
How do you solve a simultaneous equation with 3 variables?
You cannot have a simultaneous equation: you must have 2 or more equations for there to be any simultaneity.The simplest method to solve them is to invert the matrix of coefficients but this requires you to know matrix algebra and the question suggests tha you are not that advanced.In that case, express any one of the variables in terms of the other two. Substitute the resulting expression in the other equation(s). Repeat until you have only one variable. Find its value and substitute in the previous equation. That will then enable you to find a second variable. And so on.
What is the graph of a function when it has no gaps or holes?
It is a continuous line whose shape depends upon what expression it is meant to represent.The equation y = x would be a straight line passing through (0,0) and all the other points where the x and y co-ordinates were equal, including negative ones such as (-11,-11).But if the equation has x squared in it the shape would be a parabola, while the graph of an equation with y cubed in it would have something like an S shape in it. More complex equations could produce many differently shaped lines.
How do you solve 2mn-2mt plus 2sn-2st equals 0?
2mn - 2mt + 2sn - 2st = 0Divide both sides of the equation by 2:mn - mt + sn - st = 0m (n - t) +s (n - t) = 0(m + s) (n - t) = 0That's as far as you can go with the information given.
