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Harlamova29_29 [7]
3 years ago
10

6x^2 – 13x + 6 = 2x^2 solve using quadratic formula

Mathematics
1 answer:
Zanzabum3 years ago
5 0

Answer:

x=\frac{13\pm\sqrt{73} }{8}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

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

6x² - 13x + 6 = 2x²

<u>Step 2: Rewrite in Standard Form</u>

  1. Subtract 2x² on both sides:                    4x² - 13x + 6 = 0

<u>Step 3: Define</u>

a = 4

b = -13

c = 6

<u>Step 4: Solve for </u><em><u>x</u></em><u>/roots</u>

  1. Substitute:                              x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}
  2. Exponent:                               x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}
  3. Multiply:                                  x=\frac{13\pm\sqrt{169-96} }{8}
  4. Subtract:                                 x=\frac{13\pm\sqrt{73} }{8}

And we have our final answer!

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Answer:

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8 0
4 years ago
A mosaic tile is shown below. Dan wants to cover a 600-square-inches area. How many mosaic tiles does Dan need?
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Answer:

B. 30

Step-by-step explanation:

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Area of a trapezium = \frac{1}{2}(a + b)h

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Area of a mosaic tile =  \frac{1}{2}(4 + 6) 4

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Area of a mosaic tile = 20 square inches.

But, Dan wants to cover a 600 square inch area.

So that the number of tiles needed = \frac{600}{20}

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7 0
3 years ago
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valentina_108 [34]
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There are 12 bags of apples on a market stall. The mean number of apples in each bag is 8. the table shows the number of apples
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The number of apples in bag 12 is 96.

<u>Explanation:</u>

Given that, there are 12 bags of apples on a market stall.  

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4 years ago
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