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When (x – 2)^2 + 7 has a minimum value, what is the value of x?

First, expand (x-2) 2 : = (x-2)(x-2), = x 2 - 2x - 2x + 4 = x 2 - 4x + 4 Add on the +7: = x 2 - 4x + 11 complete the square = (x - 2) 2 - 4 + 11 = (x - 2) 2 + 7 when the graph has a minumum value, (x - 2) = ...
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Answered by Tom L. Maths tutor
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How do I calculate the gradient of a non linear equation at a given point?

As we know, to find a gradient in a linear function, we have to calculate the difference in the objective function (usually y) by the difference in the choice variable (commonly x), you may know this as rise...
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Answered by Milo L. Maths tutor
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Why do some verbs take 'sein' in the perfect tense and how do I figure out, whether they do or not?

Verbs that take 'sein' in the past are called intransitive verbs and there are certain questions that you can ask yourself to figure out, whether a verb takes 'sein'. The first question is "Does the ver...
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Answered by Cian H. German tutor
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What are the four processes of erosion

Hydraulic action, abrasion, attrition and solution.
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Answered by Bianca S. Geography tutor
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Name and outline the two types of circulatory systems

A single circulatory system is where blood flow starts with deoxygenated blood being pumped by the heart to the lungs or gills and then travelling directly to the rest of the body’s tissues. Found in fish an...
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Answered by Bianca S. Biology tutor
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