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Maslowich
3 years ago
5

What is the following quotient? StartFraction RootIndex 3 StartRoot 60 EndRoot Over RootIndex 3 StartRoot 20 EndRoot EndFraction

Mathematics
2 answers:
FrozenT [24]3 years ago
6 0

Answer:

\sqrt[3]{3}

Step-by-step explanation:

We are required to simplify the quotient: \dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}

Since the <u>numerator and denominator both have the same root index</u>, we can therefore say:

\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}

=\sqrt[3]{3}

The simplified form of the given quotient is \sqrt[3]{3}.

Novosadov [1.4K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

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3 years ago
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What is the solution of the system of equations? -y+3x=6 y=-6x+12
irinina [24]

Answer:

x = 2

y = 0

Step-by-step explanation:

We can solve using substitution, substitute y in the first equation with the second equation:

-(-6x + 12) + 3x = 6

Distribute the negative sign:

6x - 12 + 3x = 6

Combine like terms:

9x - 12 = 6

Isolate the variable and solve for x by adding 12 in both sides:

9x = 18

x = 2

Substitute 2 with x in any equation to find the value of y:

-y + 3(2) = 6

-y + 6 = 6

Subtract 6 in both sides to isolate the variable:

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Our answer would be x = 2 and y = 0

8 0
3 years ago
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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
Furkat [3]

Answer:

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

f'(x)=3x^2 +6x-72

Now, we are going to make the derivative equal zero and find the answers of the equation.

3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\

So we have that the critical points are the answers to this equation:

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and

x-4=0\\x=4

Thus, the critical points are x=-6 and x=4

8 0
3 years ago
Please solve for me it's urgent. A rectangle has 10 and 6cm each. find the area of a square with the same perimeter as that of t
elena55 [62]

Answer:

64 cm²

Step-by-step explanation:

Firstly,let us lay down the clues;

So, we have been given the Length and Width of the rectangle.

Rectangle;

<em>Length</em><em>=</em><em> </em><em>10</em><em> </em><em>cm</em>

<em>Width</em><em>=</em><em>6</em><em> </em><em>cm</em>

We know that

Perimeter= 2L + 2W

Perimeter= 10+10+6+6

Perimeter =32 cm

In the questionnaire, it is mentioned that a square has the same perimeter as the rectangle. That means, the perimeter of the square is similar to the one of the rectangle which is 32 cm.

So,

Perimeter of square =32 cm

Length of one side of the square =32÷4

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5 0
3 years ago
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Sauron [17]

Answer:

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Step-by-step explanation:

16 1/2%=.165 which is approximately equal to 1/6, so we can just multiply the original number by 6.

7 0
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