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A linear sequence starts a + 2b, a + 6b ,a + 10b ,…….. ,…….. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b

To start with, we need to notice the difference between each of the terms in the sequence. As this is a linear sequence, the sequence increases or decreases by the same amount between each term. In this ques...
CI
Answered by Charlotte I. • Maths tutor
8819 Views

Expand and simplify 3(m+4)-2(4m+1)

The first step is to expand out the brackets, we can do this more simply by splitting the equation into two parts. In order to expand the first half of the equation, 3(m+4), you must times both m and 4 by th...
KA
Answered by Kwabena A. • Maths tutor
6296 Views

Write 𝑥²+6𝑥+11 in the form (𝑥+a)²+b.

This question wants you to "complete the square". To start this question we put a = (coefficient of x)/2 = 6/2 = 3.So far we have 𝑥²+6𝑥+11 = (𝑥+3)²+b. We now need to find b. We can expand and simpl...
BP
Answered by Ben P. • Maths tutor
13579 Views

Functions f and g are such that f(x) = x^2, g(x) = x-3. Solve gf(x)=g^-1(x)

First, we substitute in our functions f and g. We can do this in two ways.1) Find g^-1:As g takes 3 from x, the inverse operation must add 3 to x. So g^-1(x) = x + 3Then our equation gf(x) = g^-1(x) becomes:...
WC
Answered by William C. • Maths tutor
10571 Views

solve: x/4 + 2x/(x+2)=1

x=5±sqrt(33)
DS
Answered by David S. • Maths tutor
3121 Views