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Novosadov [1.4K]
8 months ago
6

Which of the following is equal to the expression (8x)^-2/3 (27x)¯1/3

Mathematics
1 answer:
LiRa [457]8 months ago
3 0

The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x

<h3>How to evaluate the expression?</h3>

The expression is given as:

(8x)^-2/3 * (27x)^-1/3

Evaluate the exponent 8^-2/3

(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3

Evaluate the exponent (27x)^-1/3

(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3

Multiply 1/4 and 1/3

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3

Evaluate the exponent

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)

This gives

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)

So, we have

(8x)^-2/3 * (27x)^-1/3 = 1/12x

Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x

Read more about equivalent expression at

brainly.com/question/2972832

#SPJ1

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denis-greek [22]

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

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2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

8 0
2 years ago
Identify the maximum and minimum values of the function y = 10 cos x in the interval [-2π, 2π]
grigory [225]
Hello,

-1<=cos x <=1
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6 0
3 years ago
The daily cost of producing x high performance wheels for racing is given by the following​ function, where no more than 100 whe
algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

C(x) = 0.09x^3 - 4.5x^2 + 180x

Where,

x = number of wheel,

So, the average cost per wheel,

A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180

Differentiating with respect to x,

A'(x) = 0.18x - 4.5

Again differentiating with respect to x,

A''(x) = 0.18

For maxima or minima,

A'(x) = 0

0.18x - 4.5 = 0

0.18x = 4.5

\implies x = \frac{4.5}{0.18}=25

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per​ wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0
3 years ago
Find the value of x <br><br> A. 5 square root 2/2<br> B 5<br> C 10<br> D 10 square root 2
grandymaker [24]

Answer:

The answer is C

Step-by-step explanation:

That side with the 5 is equal to 7.071067812.... (irrational number)

To get x you need to use the equation a^2 + b^2 = c^2

A^2 and B^2 will both be the same thing. The red line indicates they are the exact same length.

7.071037812.... ^2 is 50

Now your equation would be 50+50= c^2 (which is the same as x^2)

100= c^2 is simplified by finding the square root of 100.

Your answer is 10 for side X because the square root of 100 is 10.

This problem was solved using the Pythagorean Theorem.

6 0
2 years ago
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nekit [7.7K]
7:4
or
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8 0
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