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vlabodo [156]
3 years ago
14

Simplify and solve for the unknown. Use order of operations as needed. Check your work.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

5

Step-by-step explanation:

Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X

Solving the equation to find the value of x.

⇒ 5^{3} -10^{2} = x(8-2)+2x-3x

Using the distributive property of multiplication, multiplying x with 8 and -2

⇒125-100= 8x-2x+2x-3x

cancelling out -2x and 2x

⇒ 25= 8x-3x

⇒ 25= 5x

Multiplying both side by 5

⇒ x= \frac{25}{5}

∴ x= 5

Hence, the value of unknown is 5.

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Determine the value of k
KATRIN_1 [288]

Answer:

\displaystyle k = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

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<u>Algebra II</u>

  • Piecewise Functions<u> </u>

<u>Calculus</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Continuous at x = 2

\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.

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

  1. Definition of Continuity:                                                                                   \displaystyle  \lim_{x \to 2^+} 2x^2 =  \lim_{x \to 2^-} x + k
  2. Evaluate limits:                                                                                                  \displaystyle 2(2)^2 =  2 + k
  3. Evaluate exponents:                                                                                         \displaystyle 2(4) =  2 + k
  4. Multiply:                                                                                                             \displaystyle 8 =  2 + k
  5. [Subtraction Property of Equality] Subtract 2 on both sides:                        \displaystyle 6 = k
  6. Rewrite:                                                                                                             \displaystyle k = 6

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

4 0
3 years ago
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Alex Ar [27]
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EXPLANATION:

the nth term would be 15n+35
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1. 2. 3. 4.
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7 0
2 years ago
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elixir [45]
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_____________________________

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3 years ago
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<span>The answer is 54. If you need more help, let me know.</span>
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