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Solve the equation ((2x+3)/(x-4)) - ((2x-8)/(2x+1)) = 1. Give your answer to 2 decimal places.

Multiply both sides of the equation by the denominators to get:(2x+3)(2x+1) - (2x-8)(x-4) = (x-4)(2x+1)Expand all the brackets to get:(4x^2 + 6x + 2x + 3) - (2x^2-8x-8x+32) = 2x^2-8x+x-4Simplify both side...

Answered by Natalie S. • Maths tutor

2500 Views

What is a box-plot diagram?

(In session I would begin by drawing a box-plot diagram and seeing if a student can also covert their data into a box-plot)There are 5 key points to a box-plot. You have the minimum value, lowest quartile...

Answered by Will W. • Maths tutor

2727 Views

f(x)= 5 - x and g(x)= 3x + 7. Simplify f(2x) + g(x-1) (2018 past paper question)

If f(x)= 5 - x then f(2x)= 5 - 2x If g(x)= 3x + 7 then g(x-1)= 3(x-1) +7 = 3x - 3 + 7 = 3x +4
So f(2x) + g(x-1) = 5 - 2x + 3x + 4 = 9 + x

Answered by Jess B. • Maths tutor

3062 Views

Grade 8/9 question: Point A (0,1) and Point B (10,6) lie on a straight line. Find the equation of the line perpendicular to AB which also intersects B.

Gradient of AB: Change in Y/ Change in X .... (6-1)/(10-0) = 0.5Gradient of line perpendicular to AB: NEGATIVE (flip the sign) RECIPROCAL (flip th...

Answered by Kim R. • Maths tutor

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The numbers a,b,c and d satisfy the equations: a+2b+3c+4d=k and 4a=3b=2c=d. What is the smallest value of k for which a,b,c and d are positive integers?

The key thing to notice here is that d must have the factors 4,3 and 2. The number 12 is the smallest to contain all those factors. We can then deduce c=6, b=4 and a=3 to get k=77.

Answered by Dean Y. • Maths tutor

2757 Views