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Time, T, is measured in tenths of a second with respect to distance x, is given by T(x)= 5(36+(x^2))^(1/2)+4(20-x). Find the value of x which minimises the time taken, hence calculate the minimum time.

To solve this problem we first must look into the given formula for time (T). It is stated, in the question, that the time taken is dependent on distance x. From this we can infer that the following problem ...
AH
Answered by Aziz H. • Maths tutor
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Expand (t+5)(t-2)

FOIL stands for First,Outer,Inner and Last. This is the order of multiplying the terms from each set of brackets.First terms give: t x t=t 2 Outer terms give: t x -2=-2tInner terms give: 5 x t=5tLast terms g...
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Answered by Ollie S. • Maths tutor
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How do you solve inequalities when you have two inequality symbols in the expression, e.g. 4x - 6 < 14 < 3x + 2

So to tackle this question you have to imagine 4x + 6 &lt; 14 &lt; 3x - 2 as two separate inequalities.4x - 6 &lt; 14 and 14 &lt; 3x + 2 This still means the same thing but we have simplified it by looking a...
AP
Answered by Alice P. • Maths tutor
4152 Views

Solve the simultaneous equations 3x - y = 5, x + 2y = -3

3x - y = 5 (A), x + 2y = -3 (B),6x - 2y = 10 (2A) ,7x + 2y +- 2y = 7 (2A) + (B),7x +2y - 2y = 7,7x = 7,x = 1,Sub x=1 -&gt; (A),3(1) - y = 5,3 - y = 5,-y = 2,y = -2 ,x = 1, x= -2
JC
Answered by Jessica C. • Maths tutor
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What is the co-ordinates of the minimum point of the quadratic equation x^2+6x-16?

Well this can be rewritten as : (x+8)(x-2), so roots are x=-8, and x=2. So therefore the x co-ordinate of the minimum point is half way between the 2 roots by symmetry. So the x co-ordinate is x=-3. Substitu...
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Answered by Lance O. • Maths tutor
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