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RoseWind [281]
3 years ago
6

The number of hits on a website doubles every month. About 10,600 people visited the website during May. The expression 10,600 ·

2t models the number of visitors after t months. Evaluate the expression for t = 0 and t = −2. Describe what each value of the expression represents in the situation.
A. 10,600; 2650; About 10,600 people visited the website in March. About 2,650 people visited the website in May.
B. 10,600; 2650; About 10,600 people visited the website in May. About 2,650 people visited the website in March.
Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

The correct option is;

B. 10,600; 2,650; About 10,600 people visited the website in May. About 2,650 people visited the website in March

Step-by-step explanation:

The given parameters are;

The number of people that visit the website every month = 2 × The number of people that visited the website the previous month

The number of people that visit the website during May ≈ 10,600

The number of visitors of the website are given by the expression 10,600 × 2^t

For t = 0, we have;

The number of visitors of the website = 10,600 × 2⁰ = 10,600

For t = -2, we have;

The number of visitors of the website = 10,600 × 2⁻² = 2,650

Therefore, the website had about 10,650 visitors in May and about 2,650 visitors in 2 months earlier in March.

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4. What value of x makes the inequality true?<br> 3(2x - 1) - 11x S -3x + 5
NNADVOKAT [17]

Answer:

A. {x: x ≥ -4}

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  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • {Builder Set Notation}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3(2x - 1) - 11x ≤ -3x + 5

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

  1. [Distributive Property Distribute 3:                                                                  6x - 3 - 11x ≤ -3x + 5
  2. [Subtraction] Combine like terms:                                                                   -5x - 3 ≤ -3x + 5
  3. [Addition Property of Equality] Add 5x on both sides:                                   -3 ≤ 2x + 5
  4. [Subtraction Property of Equality] Subtract 5 on both sides:                        -8 ≤ 2x
  5. [Division Property of Equality] Divide 2 on both sides:                                  -4 ≤ x
  6. Rewrite:                                                                                                             x ≥ -4
6 0
3 years ago
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