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There are 16 hockey teams in a league. Each team played two matches against each of the other teams. Work out the total number of matches played.

16 teams. Therefore, 1 team plays (16-1)x2=30 matches in a season. Total matches played = 30+28+26+...+2+0. 16 teams so total number of matches = 16 x (30+0)/2 =240Or each team plays 30 matches. 30x16=480...

JD
Answered by James D. Maths tutor
15087 Views

Given that 2log2(x+15) -log2(x) = 6, show that x^2-34x+225=0

As we know nlog(a) is the same as log(a)^n, we can rearrange the equation to log2(x+15)^2 -log2(x) = 6. Also, we know that log(a) - log(b) is equal to log(a/b), so we can fu...

RA
Answered by Rafey A. Maths tutor
11580 Views

In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?

first combine into one ratio by finding lowest common multiple between common category so houses:flats:bungalow = 14:8:5. then for every 5 bungalows to every 14 houses so 50/5 = 10 and 10 x 14 = 140. so t...

Answered by Maths tutor
4262 Views

A curve is described by f(x) = x^2 + 2x. A second curve is described by g(x) = x^2 -5x + 7. Find the point (s) where both curves intersect.

To find the points where two curves meet a difference function needs to be calculated. This function is formed by subtracting one function from the other: d(x) = f(x) - g(x). It also works the other way a...

Answered by Maths tutor
2685 Views

A curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx and d2y/dx2. Verify C has a stationary point at x = 2. Determine the nature of this stationary point, giving a reason for the answer.

y = 3x4 - 8x3 - 3Bringing the power down on each term and subtracting one from the power (as to differentiate, nxm —> nmxm-1), we get for each derivative:dy/...

CW
Answered by Connor W. Maths tutor
6053 Views

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