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2 years ago

Which expression is equivalent to 21\root(3)(15)-9\root(3)(15)

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

7 0

The equivalent expression of 21√(3)(15) - 9√(3)(15) is 36√5

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

21√(3)(15) - 9√(3)(15)

Express 15 as 3 * 5

21√(3)(15) - 9√(3)(15) = 21√(3)(3 * 5) - 9√(3)(3 * 5)

Evaluate the product of 3 and 3

21√(3)(15) - 9√(3)(15) = 21√(9 * 5) - 9√(9 * 5)

Take the square root of 9

21√(3)(15) - 9√(3)(15) = 21*3√(5) - 9*3√5)

Evaluate the product

21√(3)(15) - 9√(3)(15) = 63√(5) - 27√5)

Evaluate the difference

21√(3)(15) - 9√(3)(15) = 36√5

Hence, the equivalent expression of 21√(3)(15) - 9√(3)(15) is 36√5

Read more about equivalent expression at

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3 years ago

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4 years ago

A plumber had two pipes. The ratio of the length of the longer pipe to the

expeople1 [14]

Answer:

4.95m

Step-by-step explanation:

Let the length of longer and shorter pipe be x and y respectively..

given,

x/y=9/2...(i)

x-1.65=3y ...(ii)

in eqn ii..

x-1.65=3y

or, x/y - 1.65/y = 3

or, 9/2-1.65/y =3

or, 4.5-3 = 1.65/y

or, y=1.65/1.5

•°• y = 1.1m

now,

x/y = 9/2

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7 0

3 years ago

The actual length of a puma is 2.45 m. The scale of a drawing of the puma is 1 cm : 0.5 m. Find the length of the puma in the dr

Colt1911 [192]

The length of the puma in the drawing, to the nearest tenth of a centimeter is 4.9 centimeter

<em><u>Solution:</u></em>

Given that actual length of puma is 2.45 m

The scale of a drawing of puma is 1 cm : 0.5 m

To find: length of the puma in the drawing

From given information,

scale = 1 cm : 0.5 m

This means that, 1 cm is equivalent to 0.5 m in drawing

Therefore, we get

1 cm = 0.5 m

Then for 1 meter we get,

$1 \text{ meter} = \frac{1}{0.5} \text{ centimeter }$

We have to find the length of puma in drawing

Actual length = 2.45 m

Convert 2.45 meter to centimeter

$1 \times 2.45 \text{ meter } = \frac{1}{0.5} \times 2.45 \text{ centimeter }\\\\2.45 \text{ meter } = \frac{2.45}{0.5} = 4.9 \text{ centimeter}$

Thus length of the puma in the drawing, to the nearest tenth of a centimeter is 4.9 centimeter

4 0

3 years ago

Determine if the inverses listed for each function are correct or not. Select Correct or Incorrect for each function and inverse

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Answer:

Step-by-step explanation:

1). f(x) = 3x⁵

Step - 1

Convert the given function in the form of an equation.

y = 3x⁵

Step - 2

Interchange x by y.

Step - 3

Solve the equation for y

x = 3y⁵

y⁵ = $\frac{x}{3}$

$y=\sqrt[5]{\frac{x}{3}}$

Step - 4

Convert the equation into function.

$f^{-1}(x)=\sqrt[5]{\frac{x}{3}}$

Correct.

2). f(x) = 3x + 7

Step - 1

y = 3x + 7

Step - 2

x = 3y + 7

Step - 3

3y = x - 7

y = $\frac{1}{3}(x-7)$

Step - 4

$f^{-1}(x)=\frac{1}{3}(x-7)$

Correct.

3). f(x) = 6 + 4x³

Step - 1

y = 4x³ + 6

Step - 2

x = 4y³ + 6

Step - 3

y = $\sqrt[3]{\frac{1}{4}(x-6)}$

Step - 4

$f^{-1}(x)=\sqrt[3]{\frac{1}{4}(x-6)}$

Incorrect.

5 0

3 years ago