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There are "n" sweets in a bag, six are orange and the rest are yellow. If you take a random sweet from the bag and eat it. Then take at random another one and eat it. The probability of eating two orange sweets is 1/3. Show that n²-n-90=0.

We have: n= total of sweets 6= orange sweets (6-n)=yellow sweets (We use 6-n beacuse we know that if 6 sweets are orange, the rest must be yellow, so yellow sweets= (total of sweets-orange sweets)) If the pr...
RL
Answered by Raquel L. • Maths tutor
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The perimeter of a square is sqrt(120) cm, what is the area?

A square is a shape with 4 equal lengthed sides. The perimeter is the sum of the lengths of the sides. Therefore for a square, the length of one side is a quarter of the perimeter. In this example the perime...
HM
Answered by Harry M. • Maths tutor
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How would you solve (2x+16)/(x+6)(x+7) in partial fractions?

This is a simple partial fraction to solve as the denominator has already been given to you as a factorised quadratic. Because the x terms are to the dgree 1 aka x 1 we use the form (2x+16)/(x+6)(x+7) = A/(x...
KB
Answered by Katherine B. • Maths tutor
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find the value of x for when f(x)=0. f(x)=9x^(2)-4

since f(x)=0 write 9x 2 -4=0 move the x's to one side and the numbers to the other. so 9x 2 =4 then to get rid of the 9 divide both sides by 9 so x 2 =(4/9) then square root so x=sqrt(4/9) and simply by taki...
ZS
Answered by Zivanayi S. • Maths tutor
4368 Views

How would you differentiate f(x) = 2x(3x - 1)^2 using the chain rule?

In order to differentiate this expression, you need to use the chain rule. The chain rule gives: f'(x) = uv' + u'v. The u and the v are two parts of the original function f(x). The apostrophe ' at the end me...
SE
Answered by Sam E. • Maths tutor
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