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This is a question about completing the square. The first step involves taking the factor of 3 our of the expression to reach the correct form for completing the square to reach 3(x^2-(8/3)x)+1. Then, con...

Total mark for whole class is 3060= 1800Total mark for girls is 2054= 1080
Therefore subtract smaller from larger to get total mark for boys, and divide that number by 10 to yield 72.

The two lines are parallel if they have the same gradient, so for a line in the form y=mx+c, m of the two lines must be the same.Line 1 is already in this form so we need to rearrange line 2 to be in this...

Since we're told the line is straight, the equation of the line will be of the form y = mx + c.The gradient of the line, m, is the change in y divided by the change in x ; m = (3-7)/(5-2) = - 4/3.Therefor...

(x + 5)² - 5² - 6(x + 5)² - 25 - 6(x + 5)² - 31