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3 years ago

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

5 0

3 years ago

Read 2 more answers

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

Readme [11.4K]

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(gf)(x)=4−5x3x+2

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:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

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

Algebra I

Functions
Function Notation

Algebra II

Piecewise Functions

Calculus

Limits
Continuity

Step-by-step explanation:

Step 1: Define

Identify

Continuous at x = 2

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

Step 2: Solve for k

Definition of Continuity: $\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k$
Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
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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Does it matter which dimensions you select for the lenght and the width when you find the area of a rectangle? Explain

Levart [38]

It does not. So Long as the length is multipled by the height aka Long edge multiplied with the short edge, you will obtain the area of the rectangle.

3 0

3 years ago