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Solve the following equation 2x^2+6x=8

2x^2+6x-8=0fx^2+3x-4=0(x-1)(x+4)=0x=-4 or x=1

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Tom's dad is 3 times older than him. In 15 years the sum of Tom's and his dad's ages will be equal to 102. How old are Tom and his dad now?

Assume that Tom's age now is x and that his dad's is 3x. Therefore, in 15 years Tom will be x+15 years old and his dad will be 3x+15 years old. Since the sum of their ages will be equal to 102, we can f...

Answered by Ewelina F. • Maths tutor

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Why does the translation y=f(x+2) translate the graph f(x) 2 units left instead of 2 to the right?

It seems like f(x+2) should translate the graph y=f(x) 2 to the right, it is +2 inside the bracket after all? However, if we think of the translation as actually subbing in x+2 into the equation y=f(x), i...

Answered by Seth H. • Maths tutor

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Express 4x/(x^2-9)-2/(x+3) as a single fraction in its simplest form

4x/(x²-9)-2/(x+3) = 4x/((x+3)(x-3))-2/(x+3) = 4x/((x+3)(x-3))-2(x-3)/((x+3)(x-3)) = (4x-2(x-3))/((x+3)(x-3)) = (2x+6)/((x+3)(x-3) = (2(x+3))/((x+3)(x-3)) = 2/(x-3)

Answered by Charles S. • Maths tutor

8583 Views

Find the equation of the normal to the curve y=2x^3 at the point on the curve where x=2. Write in the form of ax+by=c.

For x = 2, y = 16. Calculate the gradient of the curve at y = 2, dy/dx = 6x^2, dy/dx = 24. This is also the gradient of the tangent to the curve at x = 2. It is a rule that the products of the gradients o...

Answered by Maddy L. • Maths tutor

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