Classify the following numbers into the correct set or subset of real numbers: -3, 32, 3.5, 300, $\sqrt{3$ , $\sqrt{36$ , 0, -0.3, 3.0, -30/5, 3/5, $\pi$

Solved

Show answers

Ответ:

jwagner2277

08.11.2022

Mathematics

We are given the quadratic function:

$f(x)=x^{2}+14x+40$

The vertex form is given by:

$y=a(x-h)^{2}+k$

So we have to convert our quadratic form into this vertex form.

We can do so by applying factoring by completing the square method.

$f(x)=x^{2}+14x+40$

Step 1:

We take half of coefficient of x and add it to x.

Coefficient of x is 14, half of it is 7.

(x+7)²

Step 2:

Subtract square of 7 that is 49,

(x+7)²-49+40

(x+7)²-9

The vertex form is given by:

$y=(x+7)^{2}-9$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

Classify the following numbers into the correct set or subset of real numbers: -3, 32, 3.5, 300, , , 0, -0.3, 3.0, -30/5, 3/5,