X - 4x² + 2x³ What is the degree of the polynomial?

Mathematics

1 answer:

polet [3.4K]2 years ago

6 0

Answer:

The degree of a polynomial is the highest power of any variable in the polynomial equation.

Here the highest power is 3 of the monomial with co-efficient of 2.

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How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 25 players (leaving t

Artemon [7]

Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.

The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.

<h3>What is the permutation formula?</h3>

The number of possible permutations of x elements from a set of n elements is given by:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

2 players are taken from a set of 25, hence the number of ways is given by:

$P_{(25,2)} = \frac{25!}{23!} = 600$ .

More can be learned about the permutation formula at brainly.com/question/25925367

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4 0

1 year ago

How do you find surface area? If you can explain it that would be great :) thank you!

zepelin [54]

Answer:

SA=2lw+2lh+2hw

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

3 0

2 years ago

Using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created?

Lelechka [254]

Answer:

$y=\dfrac{1}{8}(x-2)^2-1$

Step-by-step explanation:

The distance between the focus and the directrix is the vertical distance from the point to the line:

1 -(-3) = 4

The vertex is half that distance between the point and the line, so is at x=2 and ...

y = (-3 +1)/2 = -1

The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...

y = (1/(4·2))(x -2)² -1

y = (1/8)(x -2)² -1

_____

<em>Check</em>

Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.