Scientific Notation:
2.01445629 • 10^0
Expanded Form:
2.01445629
Answer:
C
Step-by-step explanation:
Recall the exponent property that:
![x^{\frac{1}{n}}=\sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%7D)
And vice versa:
![\sqrt[n]{x}=x^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Thus:
![\sqrt[3]{500} =(500)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B500%7D%20%3D%28500%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
The answer is C
The solution of the system of equations is (-1 , -1)
Step-by-step explanation:
To solve the system of linear equations by substitution method
- Use one of the two equation to find one variable in terms of the other terms
- Substitute this variable in the second equation to find an equation of one variable
- Solve the equation to find the this variable
- Find the first variable using the substitution equation
∵ x + y = -2 ⇒ (1)
∵ y = 4x + 3 ⇒ (2)
- Substitute y in equation (1) by equation (2)
∴ x + (4x + 3) = -2
- Add like terms
∴ (x + 4x) + 3 = -2
∴ 5x + 3 = -2
- Subtract 3 from both sides
∴ 5x = -5
- Divide both sides by 5
∴ x = -1
- Substitute the value of x by -1 in equation (20 to find y
∴ y = 4(-1) + 3
∴ y = -4 + 3
∴ y = -1
The solution of the system of equations is (-1 , -1)
Learn more:
You can learn more about system of linear equations in brainly.com/question/6075514
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