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3 years ago

5

Synthetic Division x^3+9x^2-11x-13

1 answer:

olga nikolaevna [1]3 years ago

8 0

Answer:

You can't synthetic divide since there's no dividend. As you can't factor it so I figure you must've forgot to include something or there's no solution.

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3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

3 years ago

Which of the following is an example of a statistic? a.) A value used to represent a population b.) Standard deviation of all fi

natita [175]

Answer:

d

Step-by-step explanation:

statistic is a number that represents as numerical data

. An example of statistics is a report of numbers saying how many followers of each religion there are in a particular country.

6 0

3 years ago

sveticcg [70]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ As there would be 2 circles, you'd need to find the area of a circle and then multiply it by 2

To start with, we can use this:

2 ( $\pi$ r^2)

^^ This represents the surface area of the two circles

A cylinder also has a rectangle which is rolled to form the shape

As we know, the formula of a rectangles area is length x width

The width of the rectangle would be equal to the circumference of a circle

circumference of circle = $\pi d$

The length of the rectangle would be the height of the cylinder

We can use this:

$(\pi d * h) + 2(\pi r^2)$

This would calculate the surface area as it would find the area of the rectangle plus the area of the two circles.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

<u></u>

↬ ʜᴀɴɴᴀʜ ♡

6 0

3 years ago

Help!!! Please <br><br><br><br> I don’t know how to do it !!

Taya2010 [7]

U put two dots on the line to make one

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3 years ago

Read 2 more answers

Here are the scores of 16 students on an algebra test. 63, 64, 68, 71, 72, 73, 74, 75, 75, 85, 86, 87, 90, 91, 92, 93 Notice tha

Studentka2010 [4]

here you go, I think this is right

3 0

3 years ago