To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2- 4x + 5 into vertex form, and state the vertex.

6 0

3 years ago

What is a monomial of the 2nd degree with a leading coefficient of 3

MissTica

Answer:

the answer is a quadratic

Step-by-step explanation:

A second degree polynomial is also called a "quadratic." Examples are 4x2, x2 - 9, or 6x2 + 13x + c. Just for fun, a third degree polynomial is called a "cubic", a fourth degree is called a "quartic", and a fifth degree polynomial is called a "quintic.

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =

sveta [45]

Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

$8^m-4^{-m}$

It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

5 0

3 years ago

Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogr

Vinvika [58]

Option 1. 9.42×3 in² is the correct option.

Step-by-step explanation:

As it has been given in the question that Kyra has arranged the circle sectors in the shape of a parallelogram.
Side of a parallelogram = 9.42 in. and height of this parallelogram is 3 in.
Now we know the formula of the area of a parallelogram = length × height
Area = 9.42 × 3 in².
So the area of this arrangement of the sectors = 9.42×3 in².

8 0

3 years ago

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