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Allushta [10]
2 years ago
14

How do you Simplify (3a^2)^3

Mathematics
1 answer:
mamaluj [8]2 years ago
4 0
When a number with an exponent is raised to an exponent, you multiply the two exponents together to get the combined exponent of the simplified version.
Let's take our exponents, 2 and 3, and multiply them.

2 x 3 = 6

Therefore we can apply the sixth power to 3a for our final answer of 3a⁶.

Hope this helped!

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On his bookshelf, Adam has the difference between two-thirds of Brett's books and two-thirds of Charlie's books. If Brett has 84
Gala2k [10]

Answer:

30 books

Step-by-step explanation:

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2 years ago
3x^2 y^7 • 5y^8 x^4<br> someone help<br> plz
ale4655 [162]

Answer:

15x^6y^15

Other:

Brainliest? Thanks!

5 0
3 years ago
Choose the correct classification of 3x^4 − 9x^3 − 3x^2 + 6.
aliina [53]
It's a 4th degree polynomial since the largest degree (exponent) is 4
6 0
3 years ago
Read 2 more answers
Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(
zavuch27 [327]

Given:

The parent absolute function is

f(x)=|x|

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

g(x)=kf(x+a)+b                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

g(x)=3f(x+0)+5

g(x)=3f(x)+5

g(x)=3|x|+5       [\because f(x)=|x|]

Therefore, the correct option is D.

5 0
3 years ago
Question is in the pictures.
Kipish [7]
<h3>Answer:</h3>

x/tan(x) is an even function

sec(x)/x is an odd function

<h3>Explanation:</h3>

<em>x/tan(x)</em>

For f(x) = x/tan(x), consider f(-x).

... f(-x) = -x/tan(-x)

Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...

... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)

The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.

_____

<em>sec(x)/x</em>

For g(x) = sec(x)/x, consider g(-x).

... g(-x) = sec(-x)/(-x)

Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...

... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)

The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.

6 0
3 years ago
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