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3 years ago

15

a polynomial function p(x) with rational coefficients has the given roots (10-square root of 6 and 4i). Find two additional root

s of p(x)=0

1 answer:

Aleonysh [2.5K]3 years ago

8 0

Answer:

6px

Step-by-step explanation:

hope this help

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A bag contains blue yellow red and orange blocks. Tai randomly chose a block from the bag. Recorded the color and then put it ba

katrin [286]

Answer:

A)

Blue: $\frac{6}{10} =\frac{3}{5}$

Red: $\frac{1}{10}$

B)

Blue: $\frac{16}{40} =\frac{2}{5}$

Red: $\frac{8}{40} =\frac{1}{5}$

C)

No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.

D)

Blue: 80

Yellow: 50

Red: 40

Orange: 30

8 0

3 years ago

Find the domain of the function y = 3 tan(23x)

solmaris [256]

Answer:

$\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

In other words, the $x$ in $f(x) = 3\, \tan(23\, x)$ could be any real number as long as $x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)$ for all integer $k$ (including negative integers.)

Step-by-step explanation:

The tangent function $y = \tan(x)$ has a real value for real inputs $x$ as long as the input $x \ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

Hence, the domain of the original tangent function is $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

On the other hand, in the function $f(x) = 3\, \tan(23\, x)$ , the input to the tangent function is replaced with $(23\, x)$ .

The transformed tangent function $\tan(23\, x)$ would have a real value as long as its input $(23\, x)$ ensures that $23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

In other words, $\tan(23\, x)$ would have a real value as long as $x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right)$ .

Accordingly, the domain of $f(x) = 3\, \tan(23\, x)$ would be $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

4 0

3 years ago

If the point (a,3) lies on the graph of the equation 5x + y = 8, then a=<br>a.01<br>b.0-1<br>c.0-7

fomenos

Answer:

A (a = 1)

Step-by-step explanation:

A coordinate point is always in the form (x,y) that means the first point is always x-coordinate and the second point is always y-coordinate.

The equation given is:

5x + y = 8

The point is (a,3), so that means x = a and y = 3

We substitute the values into the equation and find a. Shown below:

5x + y = 8

5(a) + (3) = 8

5a + 3 = 8

5a = 8 - 3

5a = 5

a = 5/5

a = 1

Answer choice A is right

6 0

3 years ago

A rectangular prism is 4 inches long, 3 inches wide and 8 inches tall . Eli packs the prism with unit cubes to find the volume.

bulgar [2K]

Answer:

$V=96\ inch^2$

Step-by-step explanation:

Given that,

A rectangular prism is 4 inches long, 3 inches wide and 8 inches tall.

We need to find the volume of the rectangular prism. The formula for the volume of prism is given by :

$V=lbh\\\\V=4\times 3\times 8\\\\V=96\ inch^2$

So, the volume of the prism is equal to $96\ inch^2$ .

6 0

3 years ago

Chapter 2 Review

Ivan

It’s A
Because I just did it

4 0

3 years ago