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2 years ago

Please helpppp!!!!!!!!!!

Mathematics

1 answer:

masha68 [24]2 years ago

3 0

The vertex form of the quadratic function f(x) = x² + 2x + 3 is given as follows:

f(x) = (x + 1)² + 2

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the function is:

f(x) = x² + 2x + 3

Completing the squares, we find the equation in vertex form, as follows:

f(x) = (x + 1)² + 2

As (x + 1)² = x² + 2x + 1, hence 2 has to be added to find the equivalent function.

More can be learned about quadratic functions at brainly.com/question/24737967

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Solve equation 78 + 67 + 35

Nat2105 [25]

Answer:

180

Step-by-step explanation:

78+67+35 all added together make 180. Hope it helps!

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3 years ago

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Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?

Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

$\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c$

Add and subtract the half of the square the coefficient of x,

$\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c$

Then we have

$\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c$

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

brainly.com/question/8495504

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2 years ago

Which number is a solution of the inequality? 6>z(10-z)

I am Lyosha [343]

A.0 I think ................

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3 years ago

0.58 x 3 =<br> 1.74<br> Explain how you solved the problem?? <br><br> Any help

KonstantinChe [14]

Answer:

0.58x3=1.74

Step-by-step explanation:

first, you line up the numbers, easiest with the 0.58 on top. then, you multiply 3x8, which is 24. you put the four in the hundredths place, and carry the two. then, you multiply 3x5 and get 15, and add the two, making it 17. you put the seven in the tenths place, and carry the one the ones place. then you will multiply three by zero and get zero. finally, you add the one, and your answer is 1.74.

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Find the inverse or opposite of (2n-8)

asambeis [7]

the additive inverse of -8 is 8

to find the additive inverse you just have to change the sign of the number

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3 years ago