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Take a look at the expression below:

x² + 4x + 3

To complete the square you have to focus on the number before the x or the (x coefficient).

In this case, this number is 4....

As you go down group 1, the reactivity increases. This is because each element has only one electron in their outer shell, so need to lose this electron in order to react. As you go down group 1, the numb...

Moving Ln to one side ln(2x^2 +9x-5) -  ln( x^2+2x-15) =1 Subtracting Ln is the same as dividing ln(((2x^2 +9x-5)/( x^2+2x-15)) ln((2x-1)/(x-3))=1 Taking e to both sides (2x-1)/(x-3)=e x=(1-3e)/(2-e)

Profit is (New price-Original price)/Original price . As a fraction it is percentage Profit/100. Equate (New price-Original price)/Old Profit to the fraction of Profit in %/100. Cross multiply and come up...

To find a) just plug in the number two to all places where n appears. In this case 8(2^2 + 2^(6 * 2 - 7))  and then number crunch. 8(4+2^5) -> 8 * (4 + 32) -> 8 * 36= 288.

To find part b, we ...