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vovikov84 [41]
2 years ago
14

Y=3x-8 using function notation

Mathematics
1 answer:
maria [59]2 years ago
4 0

To write it in function notation you'll convert it into a function, substituting y by f(x):


y = 3x - 8 = f(x) = 3x - 8



Hope it helped,



BioTeacher101

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7. What is the cardinality of each of the following sets?
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Answer:  

The cardinality of set (a) is 0,

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Step-by-step explanation:  We are given to find the cardinality of each of the following sets :

(a) { }.

(b) { { } }.

(c) {a, {a}, {a, {a}} }.

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CARDINALITY of a set is the number of elements present in the set.

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(c) The given set is C = {a, {a}, {a, {a}} }.

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HELP ME ANYONE ANYONE PLEASEEEEE I BEG FOR LOVE OF JESUS
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Answer:

b. -84

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
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{a}{-7} - 7 = 5<u />

<u />

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

  1. Addition Property of Equality:                    \displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7
  2. [Simplify] Add:                                             \displaystyle \frac{a}{-7}= 12
  3. Multiplication Property of Equality:           \displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7
  4. [Simplify] Multiply:                                      \displaystyle a = -84

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                    \displaystyle \frac{-84}{-7} - 7 = 5
  2. [Frac] Divide:                       \displaystyle 12 - 7 = 5
  3. Subtract:                              \displaystyle 5 = 5

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

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