Top answers

Maths
GCSE

Find the minimum value of the quadratic 3x^2-8x+1.

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...

JM
Answered by Jamie M. Maths tutor
3060 Views

There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark or the boys.

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.

RM
Answered by Raphael M. Maths tutor
3113 Views

The equation of line 1 is y=3x-2 and the equation of line 2 is 3y-9x+5=0. Show the two lines are parallel.

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...

ES
Answered by Emma S. Maths tutor
3005 Views

Find the equation of a straight line that passes through the points (2,7) and (5,3)

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...

JN
Answered by Joshua N. Maths tutor
3372 Views

write x^2 + 10x - 6 in the form (x+a)^2 + b

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

TB
Answered by Thomas B. Maths tutor
6697 Views

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