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If we take a number and square it, the answer is also the product of the two numbers either side of it plus one. Prove algebraically that this works for all numbers.

First of all let's give some examples: 5^2=4x6+1 = 25 or 6^2 = 5x7+1 = 36. To prove it for every number let's call the number x (e.g. x was 5 and 6 in the cases above). Then the result we want to prove is...

Answered by Miles M. Maths tutor
2489 Views

What is price elastic demand?

The textbook definition of price elastic demand is when % change in quantity demanded (QD) is greater than the % change in price (P). This can be viewed in the formula for price elasticity of demand: %cha...

Answered by Economics tutor
2214 Views

How would I answer the exam question: Explore Philip Larkin’s portrayal of time in ‘Next Please’ and one other poem. You must discuss relevant contextual factors.

The first thing you need to do is flick to this poem in your anthology to remind you of its content and how the theme – in this case time – is presented. Ask yourself - how is time presented in this poem?...

Answered by Rosalie B. English tutor
4563 Views

The perimeter of an isosceles triangle is 16cm. One of the sides equals to x+3, while the unequal one equals to x+4. Calculate the area of this triangle.

Firstly, we know that it is an isosceles triangle, meaning that 2 of its sides are equal. In this case, the uneven side is given as x+4, so we can assume that the triangle has 3 sides: AB= X+3BC= X+3AC= X...

Answered by Stella K. Maths tutor
2699 Views

Why do the denominators have to be equal when adding fractions, but not when multiplying them?

When adding fractions we need to make sure that we're adding numbers that are in the same proportion.Take for example 1/2 add 1/2, if we simply added the numerator and the denominator we would get 2/4 - w...

Answered by Jacob S. Maths tutor
2255 Views

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