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sergij07 [2.7K]
3 years ago
7

Which of the following of x makes the rational expressions below undefined

Mathematics
1 answer:
alisha [4.7K]3 years ago
5 0

A rational expression is undefined if the denominator is zero. Since the denominator is x+13, the expression is undefined if

x+13 = 0 \iff x=-13

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99 POINTS
Marina CMI [18]

both (0,350) and (250,700) fall in the shaded are

 and check:

350 *3 = 1050, which is more than 1000 and more than double the amount of hotdogs ( 0)


700 *3 = 2100, so over 1000 and more than double the amount of hotdogs(250*2=500)

 so those 2 are correct

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3 years ago
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Please help. If f(x)= 2^x-1+3 and g(x)=5x-9 what is (f-g)(x)??
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( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

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<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>​g</span>​<span>​f</span><span>​​</span></span>)</span>(x)=<span><span>​<span>4−5x</span></span>​<span>​<span>3x+2</span></span><span>​​</span></span></span></span>

4 0
3 years ago
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The sum of twice a number p and 6 is 12
madreJ [45]
2x + 6 hope this helps
3 0
3 years ago
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
  7. Subtraction
  • Left to Right  

Equality Properties

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

<u>Algebra I</u>

  • Functions
  • Function Notation

<u>Algebra II</u>

  • Piecewise Functions<u> </u>

<u>Calculus</u>

  • Limits
  • Continuity

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

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Levart [38]
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