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Write 2x^2 - 16x + 6 in the form a(x + b)^2 + c where a, b and c are constants to be determined.

2x^2 - 16x + 6= 2(x^2 - 8x) + 6= 2((x-4)^2 - 16) + 6= 2(x - 4)^2 - 26So a = 2, b = -4 and c = -26

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Sarah asked 20 people at a tennis tournament how they travelled there. She found that 13 of them travelled by car. Estimate how many of the total 2000 people at the tournament travelled by car.

First calculate the fraction of the sample that travelled by car to be 13/20.Next multiply the total population size by this proportion to find the estimate of the total number of people who travelled by ...

Answered by Scarlett O. • Maths tutor

2387 Views

expand and simplify (x+6)(x-8)

The method used to solve this problem can be referred to as the FOIL Method, this is an acronym that stands for First, Outer, Inner,

Answered by Poppy D. • Maths tutor

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Make r the subject of the formula: 1/r -1/p = 1/t

Take the 1/p to the other side of the equation1/r = 1/t + 1/p2) Add the fractions together by making the denominators the same1/r = (p+t)/pt3) Cross multiple by multiplying each side of the equation...

Answered by Antonia A. • Maths tutor

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John and Tom take a test. John scores p marks. Tom scores three times what John scored. Their total score is 188. What was Tom's score?

We want everything in terms of p so that there is only one unknown variable.If Tom scored 3x what John did, Tom scored 3 x p. This can be written as 3p.Their total marks are 188 so p (John's marks) + 3p (...

Answered by Sara S. • Maths tutor

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