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GrogVix [38]
3 years ago
13

Find the domain of the rational expression: x-3/2x-8

Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0

Answer:

\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}

Step-by-step explanation:

\dfrac{x-3}{2x-8}

We know: the denominator must be different than 0.

Therefore

2x-8\neq0        <em>add 8 to both sides</em>

2x-8+8\neq0+8

2x\neq8             <em>divide both sides by 2</em>

\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4

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PLEASEEEEEE AWNSER I NEED HELP! (AWNSER in scientific notation) 24-27
N76 [4]

Answer:

24 - 27 = -3

<em>and if you meant 2/4 - 2/7 in scientic notation:</em>

<em />

<em>2/4 - 2/7 = 3/14</em>

HOPE THIS HELPS

5 0
2 years ago
Claire wants to start a stamp collection. She spends $15 on an album to hold her stamps and $1.25 for each stamp. If she has $40
enyata [817]

Answer:

20

Step-by-step explanation:

40 - 15 = 25

25/1.25=20

7 0
3 years ago
Simplify the expression below. ​
Novay_Z [31]

Answer:

\displaystyle 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

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{7^2 - 13}{24 - 18}<u />

<u />

<u>Step 2: Evaluate</u>

  1. [Fraction] Exponents:                     \displaystyle \frac{49 - 13}{24 - 18}
  2. [Fraction] Subtract:                         \displaystyle \frac{36}{6}
  3. [Fraction] Divide:                             \displaystyle 6
5 0
2 years ago
Point P is the center of the circle below. What is the exact area
igor_vitrenko [27]

Answer:

Area =192\pi

Step-by-step explanation:

Given

\theta = 120^o

r =24

Required

The area of the shaded sector

This is calculated as:

Area =\frac{\theta}{360} * \pi r^2

This gives

Area =\frac{!20}{360} * \pi *24^2

Area =\frac{1}{3} * \pi *576

Area =\pi *192

Area =192\pi

6 0
2 years ago
3. Which expression is equivalent to log532?
saul85 [17]

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

(c) The logarithm of a number P raised to power Q is Q.logP

log[PQ] = Q.logP

Step-by-step explanation:

8 0
2 years ago
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