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What is the range of the function y = x^2?

Every mathematical function has a range and a domain. The range of a function is the set of possible outputs the function has. In this case, we know that our output (y) must be a positive number because i...

Answered by Molly B. • Maths tutor

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Solve the following quadratic equation by factorization. Show your working.

4x²+20x+8=-16First add 16 to both sides of the equation, this gives 4x²+20x+24=0 We always want to set the equation =0 for a quadratic as we are unable to solve it otherwise.Then we ...

Answered by Lauren O. • Maths tutor

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Make y the subject of the formula. x=(6+2y)/(3-y)

To make y the subject of the formula you have to rearrange it so that it starts with 'y=' instead of 'x='. Starting with x = (6+2y)/(3-y), if we get rid of the fraction by multiplying both sides by (3-y),...

Answered by Jema T. • Maths tutor

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P is a point on a circle with the equation x^2 + y^2 = 45. P has x-coordinate 3 and is above the x axis. Work out the equation of the tangent to the circle at point P.

First insert x = 3 into the equation of the circle3^2 + y^2 = 459 + y^2 = 45 take 9 away from both sidesy^2 = 36 take the square root of both sidesy = 6 (not -6 as P is above the x-axis)Next find the grad...

Answered by Emily W. • Maths tutor

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A group of 44 pupils were asked if they owned a phone or a tablet. 5 people are known to own both 3 said they only owned a tablet 17 said they owned at least a phone A student is picked a random, what is the probability that the student doesn’t have

So in this question, there are 4 main people in this question; those who own ONLY a phone, ONLY a tablet, both a phone or a tablet or NONE. How do you think we could represent this information? Prompt stu...

Answered by Niki C. • Maths tutor

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