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simplify 7(3y-5) - 2(10 + 4y)

Working on the left hand side of the expression, we have to distribute the 7 taking into consideration the negative sign. So, 7 multiplied by 3y= 21y and 7X-5= -35. Simplifying the right hand side,being c...

JK
Answered by Jenany K. Maths tutor
6266 Views

Expand and simplify (2x + 5) (3x - 2)

The importan thing to remember is that each part of both of the brackets must be multiplied by each part of the other bracket (the word 'expand' meaning multiply when the brackets are next to one another)...

EG
Answered by Emily G. Maths tutor
8478 Views

One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5. There are 36 male teachers at the school. Work out the total number of teachers at the school.

This is a 3 marks exam question from the 2016 summer exam with the Edexcel board. The topic tested here is probability. We are given that the probability of having a female teacher is 3 out of 5. This mea...

EM
Answered by Eitel M. Maths tutor
10151 Views

The first term of an arithmetic series is a and the common difference is d. The 12th term is 66.5 and the 19th term is 98. Write down two equations in a and d then solve these simultaneous equations to find a and d.

The first step is to recall the formula for arithmetic progressions: u(n) = a + (n-1)d We can then put all the information given in the question into this so u(12) = 66.5 = a + 11d and u(19) = 98 = a ...

EW
Answered by Eleanor W. Maths tutor
6827 Views

A curve has equation (x+y)^2=x*y^2, find the gradient of the curve at a point where x=1

  1. Differentiating left hand side: 2(x+y)(1+dy/dx) from the chain rule 2. Differentiating right hand side: y2+2xy(dy/dx) from the product rule 3. Equating sides and taking out factors of dy/...
PK
Answered by Peter K. Maths tutor
3820 Views

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