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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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A) Multiply out 6(n - 2). B) Factorise psquared - 5p

A) 6n - 12 B) p(p-5)
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Answered by Ally W. • Maths tutor
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Calculate the equation of a line that passes through the point (2,4) and has a gradient of 1.5 in the form y=mx+c

y-y1=m(x-x1) y-4=1.5(x-2) y-4=1.5x-3 y=1.5x+1
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Answered by Katie H. • Maths tutor
3932 Views

Find the 16th term in the following sequence: 3, 5, 7, 9, 11

First find the nth term of the sequence. Start by finding the difference between each term: 3, 5, 7, 9, 11 - the difference between each is 2 therefore it is 2n but this alone gives the sequence: 2, 4, 6, 8....
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Answered by Kate S. • Maths tutor
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