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3 years ago

What key features are necessary and how they can be used to create the sketch of a polynomial function?

Mathematics

1 answer:

Tomtit [17]3 years ago

4 0

The key features of polynomials are the vertex, axis of symmetry, x and y intercepts.

1. The degree will help you find the end behavior.

2. The vertex shows you where it changes concavity.

3. X and y intercepts give you a couple of points of reference.

4. Axis of symmetry is only applicable to even degree polynomials.

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

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Factor by grouping. Then supply the term that is missing below. 2mn-3m+8n-12=(m+4)(?-3) The missing term ? = _____.

Degger [83]

2mn - 3m + 8n - 12

Let's group the first two terms together and the last two:

2mn - 3m and 8n - 12

In the first group, m is the greatest common factor.

m(2n - 3)

In the second group, 4 is the greatest common factor.

4(2n - 3)

Therefore, (m + 4) and (2n - 3) are our factors. Our missing term is 2n.

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4 years ago

For the simple harmonic motion equation (see pic) What is the period?

prisoha [69]

Answer:

Period of the given harmonic function is 1.

Step-by-step explanation:

In any harmonic function which is in the form of y = asin(bx+c) + d , we know

Period of this function will be represented as P = $\frac{2\pi }{B}$

Therefore for the given function d = 5 sin (2πt) we know the value of B is 2π.

So the period will be P = $\frac{2\pi }{2\pi } = 1$

The answer is period = 1

8 0

3 years ago

What is the distance between the points M (-3, 7) and N (a, b)?

gavmur [86]

Answer: $\sqrt{ (-3-a)^2 + (7-b)^2 }$

Explanation:

We plug the given coordinates into the distance formula

$d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 }\\\\$

There isn't much we can do from there since we don't know the values of 'a' or 'b'. You could expand out each binomial, but it's more simplified being factored like that.

4 0

4 years ago

I NEED HELP PLEASE! ;0

Fittoniya [83]

Answer:

4:6 or 2:3

Step-by-step explanation:

Since the ratio of mass of oxygen to carbon is 4:3, when there are two carbons the ratio will be 4:3*2=4:6=2:3. Hope this helps!

8 0

3 years ago

How do i divide 41 2/3 cups of flour into 4 7/12 cups

Hoochie [10]

We can do this from finding 2/3, and that equals 0.66_7 and 7/12 is 0.5833_ and we divide the whole thing. 41.66 and 4.5833 and we get 11

5 0

3 years ago