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RSB [31]
3 years ago
7

Order the following from smallest to largest. .84, 2.83, .065

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0

Answer:

.065, .84, 2.83

Step-by-step explanation:

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-1

Step-by-step explanation:

Your welcome back to the inputs is

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Natalie walked 3/5 mile in 1/2 hour. How fast did she walk, in miles per hour
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6/5 miles per hour or 1.2 miles per hour

Step-by-step explanation:

If Natalie walked 3/5 miles in 1/2 hour, then in 1 hour she would have walker 6/5 miles(3/5 * 2). You can write 6/5 as 1.2 (6 divided by 5). Thus, Natalie walked 1.2 miles per hour

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3 years ago
The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?
pashok25 [27]

Answer:

Yes, it is true that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1.

Step-by-step explanation:

Let us try to factorize x^4+3x^3-2x^2-3x+1

x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3

Let us try to make a whole square of the given terms:

\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\

--------------

Formula used above:

a^{2} -2 \times a \times b +b^{2}  = (a-b)^2

In the above equation, we had a = x, b = 1.

--------------

Further solving the above equation, taking 3x common out of 3x^3-3x

\Rightarrow (x^2-1)^2+3x(x^2-1)\\

Taking (x^{2} -1) common out of the above term:

\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)

So, the two factors are (x^2-1)\ and\ (x^2+3x-1).

\therefore The statement that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1 is <em>True.</em>

7 0
3 years ago
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