Top answers

Maths
GCSE

Let f ( x ) = 15 /x and g ( x ) = 2 x − 5 Find fg(4), gf(-30) and give the expression for gf(x)

Key here is the order of operation.g(4) =2x4 - 5=8-5=3fg(4) = f(3)=15/3=5gf(-30)f(-30)=15/-30=-1/2gf(-30)=g(-1/2)=2x-1/2 -5=-1-5=-6gf(x)f(x)=15/xg(15/x)=2*15/x -5=30/x -5

EM
Answered by Eddie M. Maths tutor
4824 Views

Solve the Simultaneous equations. 3x+5y=22 4x-5y=6

3x+5y=224x-5y=6Our first task is to cancel out one of the variables. So you see that both y variables have a 5 before them. As one has -5 and the other has +5 you can add both simultaneous equations toget...

CL
Answered by Chris L. Maths tutor
3574 Views

A group of 35 students were asked if they owned a laptop or a TV. 10 said they had both. 12 said they had only a TV. 20 said they had atleast a laptop. A student is picked at random. What is the probability that the student has neither a laptop or a TV?

So there are 35 students in total. 10 which have both a laptop and a TV and 12 with only a TV. There are 20 students that own laptops. We have to find out how many students only have laptops. To do this w...

CL
Answered by Chris L. Maths tutor
3929 Views

A graph of a linear equation passes through 2 points, (2,9) and (-3,-1). Find the equation of the line in the form y=mx+c.

So first of all in finding the equation of this line, we shall find the gradient of the line which is represented by m. To find m, we use a formula and the values in the 2 coordinates. The first coordinat...

RM
Answered by Ryan M. Maths tutor
3067 Views

Write 16 × 8^(2x) as a power of 2 in terms of x

Aim: Our answer should be written in the form 2a+bx where a and b are constants that we are trying to find.
Firstly, we can write 16 in terms of a power of 2: 16 = 42 ...

SL
Answered by Sophie L. Maths tutor
7255 Views

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