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ziro4ka [17]
2 years ago
12

What is the definition of perfect cube and can you give an example

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
6 0
A perfect cube is a natural number in the form
{a}^{3}  = a \times a \times a
therefore
{1}^{3}  = 1 \\  {2}^{3}  = 8 \\  {3}^{3}  = 27 \\  {4}^{3}  = 64 \\  {5}^{3 }  = 125 \\ . \\ . \\ .\\ .
and also you can define it as any natural number who's third root is also a natural number for examble
\sqrt[3]{1000}  = 10
so you can say that the tenth perfect cube is 1000
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The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. F
Gemiola [76]

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

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Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

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Then substitute for x in the other equation and solve for y.

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Now we can go back to our equation for x and substitute for y.

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Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

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8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

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like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

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x=0

y, the larger number, is 1 and

x, the smaller number, is 0

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2 years ago
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(x^2 + 3x^2) + (2x +x) + 3 + 1
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