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marshall27 [118]
2 years ago
10

3x squared =118. Solve the equation. Round to the nearest hundredth if necessary.

Mathematics
2 answers:
Anit [1.1K]2 years ago
8 0

Answer:

3.62

Step-by-step explanation:

118 square rooted is 10.86

10.86/3 = 3.62

sukhopar [10]2 years ago
5 0

Answer:

x=\pm6.27\: \textsf{(nearest hundredth)}

Step-by-step explanation:

Given equation:

3x^2=118

Divide both sides by 3:

\implies \dfrac{3x^2}{3}=\dfrac{118}{3}

\implies x^2=\dfrac{118}{3}

Square root both sides:

\implies \sqrt{x^2}=\sqrt{\dfrac{118}{3}}

\implies x=\pm\sqrt{\dfrac{118}{3}}

\implies x=\pm6.27\: \textsf{(nearest hundredth)}

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Answer:

D. (4, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define systems</u>

y = x + 1

y = 1/2x + 3

<u>Step 2: Solve for</u><u><em> x</em></u>

  1. Substitute in <em>y</em>:                              x + 1 = 1/2x + 3
  2. Subtract 1/2x on both sides:        1/2x + 1 = 3
  3. Subtract 1 on both sides:              1/2x = 2
  4. Divide both sides by 1/2:              x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                   y = x + 1
  2. Substitute in <em>x</em>:                                    y = 4 + 1
  3. Add:                                                     y = 5

<u>Step 4: Graph</u>

<em>We can confirm our answer.</em>

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3 years ago
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Alekssandra [29.7K]

Answer:

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Step-by-step explanation:

Step 1: Write expression

(3x² - 2x + 1) + (4x² + 3x + 2)

Step 2: Combine like terms

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Step-by-step explanation:

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