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One bag has 4y+2 counters in it and another has 6y-2 counters in it. The bags have the same number of counters in them. Calculate the value of y.

4y+2=6y-2, add 2 to both sides. 4y+4=6y, subtract 4y from both sides. 4=2y, divide both sides by 2 y=2

GC
Answered by George C. Maths tutor
2022 Views

2 equations intersect each other, y = x + 2 and y = x^2. Find the area of the shaded region between the points of intersection giving your answer to 3 significant figures. (shaded region will be shown)

points of intersection are (-1,1) and (2,4). Area of the shaded region is 4.5.

SA
Answered by Syed A. Maths tutor
3188 Views

Adam can pay for his gym membership in one go at £180 or in monthly sums of £20. Work out the percentage increase of paying monthly to 1 decimal place.

We need to start by working out the price Adam will pay for the entire year if he chooses the monthly option. We do this by multiplying £20 x 12 months = £240. Next we need to find the difference (increas...

TN
Answered by Timothy N. Maths tutor
3860 Views

Solve the simultaneous equations: 3x+2y=4 and 2x+y=3

When solving simultaneous equations there are several options, the two most common methods being substitution and elimination. For this example I shall use elimination. In order to do so, either x or y mu...

CG
Answered by Catherine G. Maths tutor
11979 Views

Explain the use of the quadratic formula to solve quadratic equations.

To explain this to a student, I would start by explaining the general formula for a quadratic equation, (ax^2 + bx + c = 0). Then I would show using an example, how the a,b and c can be substituted with n...

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Answered by Tom N. Maths tutor
2879 Views

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