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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...

Answered by Kwabena A. • Maths tutor

5252 Views

Define market failure and give two examples in which this may occur.

Market failure can be defined as the mis-allocation of resources in a market. Complete market failure occurs when no good or service is provided resulting in the nonexistence of a market. Partial market f...

Answered by Kwabena A. • Economics tutor

1962 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 si...

Answered by Ben P. • Maths tutor

12147 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) becom...

Answered by William C. • Maths tutor

9303 Views

Translate the following sentences into Spanish. I eat lots of fruit. I prefer to download music. The poor man lives on the street. I bought a new laptop on Saturday. I think that I am going to study Spanish next year.

Como mucha fruta.Prefiero descargarme la música.El pobre vive en la calle.El sábado me compré un portátil nuevo.Creo que voy a estudiar español el año que viene.

Answered by Marina M. • Spanish tutor

3316 Views