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Marat540 [252]
3 years ago
15

PLS HELP ..... ......... ..........

Mathematics
2 answers:
vfiekz [6]3 years ago
6 0

Answer:

=729x^{30}

Step-by-step explanation:

So we have the expression:

(3x^5)^6

To simplify, we can use the product of a power property, where:

(ab)^x=a^xb^x

So, our expression will be equal to:

=(3)^6(x^5)^6

Let's evaluate 3⁶, which equates to:

=729(x^5)^6

For our x, we can use the power of a power property, where:

(x^a)^b=x^{ab}

So, our expression is:

=729x^{5(6)}

Evaluate:

=729x^{30}

And we're done!

Softa [21]3 years ago
5 0
ARF BARK BARK RUFF RUFF BARK GROWL ARF ARF
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Select all the correct answers.
fenix001 [56]

The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)

<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>

In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.

Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:

f'(x) = - 2 · cos (x - 1 + 4) + 3

f'(x) = - 2 · cos (x + 3) + 3     (1)

Now we apply a reflection over the x-axis:

g(x) = - [- 2 · cos (x + 3) + 3]

g(x) = 2 · cos (x + 3) - 3

Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)

To learn more on rigid transformations: brainly.com/question/1761538

#SPJ1

4 0
2 years ago
Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain tha
dybincka [34]

Answer:

The correct answers are:

0.95g

g - 0.05g

(1 - 0.05)g

Step-by-step explanation:

Amount of last week's rain = g inches

this week = 5% decrease on last week's amount

5% of last week's amount = 5/100 × g = 0.05g

∴ This week's amount of rain = 0.05g decrease

∴ Amount of rain this week = (Amount of rain last week) - 0.05g

∴ Amount of rain this week = g - 0.05g

This can be simplified by factorizing the common term "g"

g - 0.05g = g(1 - 0.05) = 0.95g

4 0
3 years ago
A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket cos
IgorC [24]
Marked price = 200 + 40% of 200 = 200 * 0.4*200 = 200 + 80 = $280 price after 25% discount = 280 - 0.25*280 can you work that out?
8 0
4 years ago
Given the following table of values for f(x), find f(2).
AleksandrR [38]

Step-by-step explanation:

Given F(x) is 5 10 8 5 7 14 where x is - 1 0 1 2 3 9,

the value of F(2) is 202,478

3 0
3 years ago
The sum of two numbers is 75. The second number is 3
mihalych1998 [28]

Answer:

26 and 49.

Step-by-step explanation:

8 0
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