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From the equation we can see the the line in a positive quadratic graph. In order to find the points where the line crosses the x axis we must let y=0 and solve for x. We can then use either inspection, c...

Firstly write out the question. x^2+5x+6. After this look at the constant without any x's. In this case that number is 6. Now look at the number 6 and work out the combination of factors for 6. Do this su...

To find the density, we need to divide mass by volume, and we already know the mass, so must find the volume.  V = 4/3.pi.r^2, and plugging in r=6 gives V = 48.pi, about 150.8 cm^3. The mass is 1710, whic...

x^2 - 8x + 15 = 0 

(x - 5) (x-3) = 0 

x = 5 or x = 3

We see that the numerator is a quadratic, so we factorise it to obtain:

(2a + 1)(a + 3)/(a + 3) = 2a + 1

Since a is a positive integer, we know that 2*a + 1 will always be an odd nu...