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Given the curve y=x^2 +1 and the line y=k, find, using graphical methods only, the value of k for which there is exactly one solution.

Graphically, the solution of a pair of simultaneous equations is the point of intersection between both curves. If we want only one solution to the system of equations, then there should only be one point...

Answered by Marcos T. • Maths tutor

2882 Views

Factorise the following expression x^2+11x+24=0

Find two values that multiply together to make 24, and add together to make 11
List the factors of 24:24,112,26,48,3
Here we can see the only numbers that add together to make 11 are 8 and 3, s...

Answered by Lauren M. • Maths tutor

3140 Views

How can you distinguish between an endothermic reaction and an exothermic reaction based on temperature change of the surroundings.

In an exothermic reaction, energy is released from the system and into the surroundings, the system loses energy so the surroundings gain energy. The surroundings gain energy as heat and therefore there i...

Answered by Kuba S. • Chemistry tutor

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Evaluate the use of laboratory research in psychology, providing examples from core studies (4).

One strength of using laboratories is that they are highly controlled environments. For example, in Milgram's study into obedience to authority, the behaviour of the experimenter can be controlled, by hav...

Answered by Clea S. • Psychology tutor

2200 Views

Draw the following inequality on a graph: x^2+4x+1<-2

First we must ensure the equation is in a form that is easy for us to plot!This means we equate the quadratic to 0 by shifting the -2 to the other side. We do this by adding +2 to both sides.Now, we draw ...

Answered by Saad A. • Maths tutor

3333 Views