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Solve x^2+5x+6=0 by factorising

First of all, when we expand brackets we know that the x will be at the start of the brackets (x )(x )= 0 Look a the equation again, x 2 +5x+6=0. All of our numbers are positive so we know that we don't need...
ET
Answered by Emily T. • Maths tutor
75771 Views

fifty two thousand, seven hundred, and twenty four people went to a concert. Write this in numbers and round it to the nearest thousand.

52,724 53,000 We round up because 7 is greater than 5 and is therefore closer to 10 than 0.
SU
Answered by Sarah U. • Maths tutor
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A stone is thrown from a bridge 10m above water at 30ms^-1 30 degrees above the horizontal. How long does the stone take to strike the water? What is its horizontal displacement at this time?

The first thing to do for part a) is work out the vertical component of the velocity. By drawing a triangle where 30m/s is the hypotenuse with angles of 30 degrees, 90 degrees, and 60 degrees, and by applyin...
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Answered by Sarah U. • Maths tutor
6369 Views

What is the derivative of f(x)=sqrt(3x+2)=(3x+2)^(1/2)?

By the power rule, the derivative of x^(n) is nx(n^1) and by the chain rule, the derivative of g(h(x)) is g'(h(x))h'(x). Let g(x)=x^(1/2) and h(x)=3x+2 so that f(x)=g(h(x)). Then by the power rule, g'(x)=(1/...
LP
Answered by Luke P. • Maths tutor
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Solve the following equation: 4x + 7 = 2x - 5

Some students struggle to solve equations with unknowns on both sides. I think the easiest way to solve these types of equations is to use the balance method. This is where you treat the equation like a weig...
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Answered by Nicholas D. • Maths tutor
12945 Views