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4 years ago

What is the median of 36 45 29 39 51 49

Mathematics

2 answers:

PilotLPTM [1.2K]4 years ago

7 0

Hello dude how are u the answer to this is
42.
hope this helps u
have a good day
-toby<span />

Murrr4er [49]4 years ago

6 0

29 36 39 45 49 51

39 + 45 = 84

84 ÷ 2 = 42

Answer: Median is 42.

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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 2, and the given zeros. -

Musya8 [376]

Answer:

A least degree polynomial, having rational coefficients and a leading coefficient of 2, with,-4, 0, 2, and 4 as the zeros of the polynomial is;

f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x

Step-by-step explanation:

The given parameters of the polynomial are;

The leading coefficient of the polynomial = 2

The zeros of the polynomial = -4, 0, 2, 4

We note that zeros of -4, and 4 gives a factor of the form, (x² - 4²)

For a zero of the polynomial equal to 0, one of the factors of the polynomial is equal to 'x'

To have a leading coefficient of 2, we can add '2' as a factor of the polynomial

Therefore, we can have the factors of the polynomial as follows;

(x² - 4²)·2·x×(x - 2) = 0

From the above equation, using a graphing calculator, we get the following possible polynomial;

(x² - 4²)·2·x×(x - 2) = 2·x⁴ - 4·x³ - 32·x² + 64·x = 0

Therefore, a polynomial, function of least degree that has rational coefficients, a leading coefficient of 2,and the zeros, -4, 0, 2, and 4 is f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x.

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3 years ago

An open box is to be made from a flat piece of material 14 inches long and 6 inches wide by cutting equal squares of length xfro

Ludmilka [50]

Answer:

$f(x)=x(14-2x)(6-2x)$

Step-by-step explanation:

We are given that

Length of flat piece of material=14 in

Width of flat piece of material=6 in

We have to find the volume of box as a function of x.

An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.

Therefore, Height of box=x in

Length of box=14-2x in

Width of box=6-2x in

We know that volume of box= $length\times breadth\times height$

Using the formula

Volume of box=f(x)= $x(14-2x)(6-2x)$

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