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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. Subs...

LO
Answered by Lance O. Maths tutor
3249 Views

A group of 55 students were asked if they had a cat or a dog. 11 were known to own both, 18 said they owned only a dog, and 34 said they owned at least a cat. Give the probability that a student has neither as a fraction in its simplest form.

ANSWER = 3/55

ER
Answered by Emily R. Maths tutor
2839 Views

Solve the simultaneous equations: 3x+y=11 and 2x+y=8.

First we want to eliminate of one these variables in order to solve the equations. We need to identify which variable has the same coefficient- in this case, it is y. So, we subtract the two equations fro...

SK
Answered by Simran K. Maths tutor
6354 Views

Find the equation to the tangent to the curve x=cos(2y+pi) at (0, pi/4)

Normally to find a tangent we want to work out dy/dx, but since this equation is x=something, it's much easier to work out dx/dy first, then we get dy/dx by doing 1/(dx/dy)=dy/dx.
By the chain rule, ...

SJ
Answered by Sarah J. Maths tutor
11081 Views

The probability of pulling out a coloured counter from a bag is shown below: Green=0.2. Purple=0.15. Black=0.3. Pink=?. What is the probability of pulling out a pink counter?

When we have a probability question with multiple possible outcome as we have here (the multiple possible outcomes are pulling out a green, purple, black or pink counter) the probabilities of all of these...

FA
Answered by Fauzia A. Maths tutor
3931 Views

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