The magnitude of a ra representation of a number as the product of a number that is greater than or equal to 1 but less than

Mathematics

1 answer:

kirill [66]3 years ago

7 0

Answer:

<h3>C. Scientific Notation</h3>

Step-by-step explanation:

Since the number in question is greater than or equal to 1 but less than

10, we can choose any number between 1 and 10, lets take 3 for example.

If we take the product of 3 and an integer power of 10 number without regard to its sign, this can be expressed mathematically as shown;

$3 * 10^{-5}$ where the power of 10 is -5. Note that any real number can be used as the power since we are not regarding the sign (Here we used -5). The expression formed according to the expression in question is a SCIENTIFIC NOTATION i.e $3 * 10^{-5}$ gives us a scientific notation.

<em>Scientific notation is a means by which we represent very large or small numbers that are difficult to represent using a decimal notation</em>

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Show that the function has at least one zero between x=1 and x=2

ANTONII [103]

Answer:

See Below.

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = 7x^5-9x^4-x^2$

And we want to show that it has at least one zero between <em>x</em> = 1 and <em>x</em> = 2.

Because the function is a polynomial, it is everywhere continuous.

Evaluate the function at <em>x</em> = 1 and <em>x</em> = 2:

$\displaystyle \begin{aligned} f(1) & = 7(1)^5 - 9(1)^4 - (1)^2 \\ \\ & = -3\end{aligned}$

And:

$\displaystyle \begin{aligned} f(2) & = 7(2)^5 - 9(2)^4 - (2)^2 \\ \\ & = 76 \end{aligned}$

Therefore, because the function changes signs from <em>x</em> = 1 to <em>x</em> = 2 and is continuous on the interval [1, 2], by the intermediate value theorem, there must exist at least one zero in the interval.

7 0

1 year ago

margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sid

zubka84 [21]

<h2>༆PROBLEM:</h2>

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Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?

<h2>༆SOLUTION:</h2>

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$\mathrm{N = 6×0.8 \: inch}$