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MakcuM [25]
2 years ago
13

Which equation shows a valid step in solving /2x-6+2x+6=0?

Mathematics
1 answer:
AfilCa [17]2 years ago
5 0

An equation which shows a valid step that can be used to solve the given mathematical equation is (\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3

<h3>What is an equation?</h3>

An equation simply refers to a mathematical expression that can be used to show the relationship existing between two (2) or more numerical quantities.

In this exercise, you're required to show a valid step which can be used to solve the given mathematical equation. Since both equations are having a cube root, the first step is to take the cube of both sides.

Take the cube of both sides, we have:

\sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0\\\\(\sqrt[3]{2x - 6})^3 + (\sqrt[3]{2x + 6})^3 = 0^3\\\\(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3

Read more on equations here: brainly.com/question/13170908

#SPJ1

You might be interested in
Six and forty-two ten-thousandths as a decimal
sergey [27]

Answer:

6.0042

Step-by-step explanation:

6 and forty-two ten-thousandths as a decimal.

mixed number : 6\frac{42}{10,000}

decimal : 6.0042

7 0
3 years ago
People enjoyed attending the concert in the park.
Luden [163]

Answer:

w = 238

Step-by-step explanation:

So create a system of equations if the number of m = 2w where the men's number is twice the women's number.  and m + w = 714 so substitute 2w for m

2w + w = 714 so 3w = 714, divide both sides by 3, you get w = 238

5 0
3 years ago
Sandy has 27 roses, 9 daisies, and 18 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number
AlekseyPX

Answer:

The greatest number of flowers that could be in a bouquet is 9 flowers

Step-by-step explanation:

We solve the above question using Greatest Common Factor method. We find the factors of 27, 9 and 18. The greatest factor common to the 3 number is our answer.

The factors of 9 are: 1, 3, 9

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 27 are: 1, 3, 9, 27

Then the greatest common factor is 9.

The greatest number of flowers that could be in a bouquet is 9 flowers

5 0
3 years ago
Find the missing dimension of the prism. Round your answer to the nearest hundredth.
Nitella [24]

Answer:

x = 6.99in

Step-by-step explanation:

Given

l =2in

Volume = 72.66in^3

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

Base\ Area= \frac{3\sqrt 3}{2}l^2

This gives:

Base\ Area= \frac{3\sqrt 3}{2} * 2^2

Base\ Area= \frac{3\sqrt 3}{2} * 4

Base\ Area= 3\sqrt 3 * 2

Base\ Area= 6\sqrt 3

Side x represents the height.

So, we have:

Volume = Base\ Area*x

Make x the subject

x = \frac{Volume }{ Base\ Area}

x = \frac{72.66in^3}{6\sqrt 3 in^2}

x = \frac{72.66}{6\sqrt 3}in

x = \frac{12.11}{\sqrt 3}in

x = 6.99in --- approximated

6 0
3 years ago
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons
Juliette [100K]

Answer:

<em>The water is leaking at the rate of 0.0625 gal/min.</em>

Step-by-step explanation:

<u>Rate of change</u>

The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.

The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.

When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.

Calculating the rate at which it's leaking:

\displaystyle r=\frac{3\ gallons}{48\ min}

r = 0.0625 gal/min

The water is leaking at the rate of 0.0625 gal/min.

5 0
3 years ago
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