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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...

BP
Answered by Ben P. Maths tutor
11719 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...

WC
Answered by William C. Maths tutor
8952 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.

MM
Answered by Marina M. Spanish tutor
3163 Views

Fuiste a una fiesta de San Valentín, el 14 de febrero. Tu amigo uruguayo, Mateo, te ha preguntado sobre la fiesta. Escríbele un email. Menciona: • qué hiciste en la fiesta • tus ideas sobre tu novio perfecto / tu novia perfecta • tu opinión sobre el matri

Querido Mateo,
El día de San Valentín estuve en una fiesta muy aburrida. Estuvimos jugando a juegos “románticos”, que me parecieron muy raros. Como puedes ver, no me interesa mucho el tema del amor a...

MM
Answered by Marina M. Spanish tutor
3345 Views

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

x=5±sqrt(33)

DS
Answered by David S. Maths tutor
2603 Views

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