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3 years ago

Evaluate the logarithm.

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Answer:

$x \approx 0.954$

Step-by-step explanation:

The logarithm is evaluated as follows:

$x = 2\cdot \log 3$

$x = \log 3^{2}$

$x = \log 9$

The value of the logarithm can be estimated by means numeric methods, which can be easily used on calculators (i.e. Macaulay Series)

$x \approx 0.954$

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After drawing the line y = 2x − 1 and marking the point A = (−2, 7), Kendall is trying to decide which point on the line is clos

igor_vitrenko [27]

Answer:

Step-by-step explanation:

Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line

Having the point P(3,5) substitue x to verify y

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Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

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3 years ago

When using the rational root theorem, which of the following is a possible root of the polynomial function below f(x)=x^3-5x^2-1

uranmaximum [27]

Answer:

$\Large \boxed{\sf \ \ 7 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

The polynomial function is

$x^3-5x^2-12x+14$

The rational root theorem states that each rational solution

$x=\dfrac{p}{q}$

, written in irreducible fraction, satisfies the two following:

p is a factor of the constant term

q is a factor of the leading coefficient

In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.

Let's proceed with the prime factorisation of 14:

14 = 2 * 7

Finally, the possible rational roots of this expression are :

and we need to test for negative ones too

-1

-2

-7

-14

From your list, the correct answer is 7.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Step-by-step explanation:

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