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hoa [83]
3 years ago
6

What is the solution set of the equation x + 6 = 2(x + 3) - x?

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

Answer:

<em>x</em> = all real numbers

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

x + 6 = 2(x + 3) - x

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

  1. [Addition Property of Equality] Add <em>x</em> on both sides:                                     2x + 6 = 2(x + 3)
  2. [Distributive Property] Distribute 2:                                                                 2x + 6 = 2x + 6

Here we see that both sides are identical.

∴ our solution is all real numbers.

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A researcher claims that the mean cost of raising a child from birth to age 2 by husband­wife families in the U.S. is $13,960. A
irina1246 [14]

Answer:

Yes, there enough evidence to reject the claim.

Step-by-step explanation:

Here we need to perform a test for single mean to determine whether the  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.

The hypothesis is:

<em>H₀</em>: The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, i.e. µ = $13,960.

<em>Hₐ</em>: The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960, i.e. µ ≠ $13,960.

The information provided is:

\ar x=13725\\\sigma=2345\\n=500\\\alpha =0.10

The test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{13725-13960}{2345/\sqrt{500}}=-2.24

The test statistic value is -2.24.

Compute the <em>p</em>-value for this test statistic value at 10% level of significance as follows:

p-value=2\times P(Z

               =2\times 0.01255\\=0.0251

Use the <em>z</em>-table.

The calculated <em>p</em>-value is, 0.0251 < 0.10, therefore the null hypothesis will be rejected.

<u>Conclusion</u>:

As the null hypothesis is rejected at 10% level of significance it can be concluded that there enough evidence to reject the claim.

The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960.

5 0
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Answer:

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Step-by-step explanation:

The cones are not concurrent because one cone is obliquewhich makes the length of these land height is different have the same radius same volumes and same height are the cones concurrent is the corresponding slant height sorry equal .concurrent counts must have concurrent corresponding slant height with all this corresponding being concurrent

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Step-by-step explanation:

Attached is a screenshot.

y = 180 - 50 - 70 = 60.

x + y = 180, so x = 120

Remember to try to use parallel lines when you can

The second uses the same method, just the opposite side.

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