Answer:
x = 5/3
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
y = 3x - 2
y = 3
<u>Step 2: Solve for </u><u><em>x</em></u>
- [Equation] Substitute in <em>y</em>:
3 = 3x - 2 - [Addition Property of Equality] Add 2 on both sides:
5 = 3x - [Division Property of Equality] Divide 3 on both sides:
5/3 = x - Rewrite:
x = 5/3
∴ the value of <em>x</em> when <em>y</em> = 3 is equal to 5/3, or approximately 1.67.
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Topic: Algebra I
Answer:
(0,5) (1,3) (2,1)
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
DE=4x+2, EF=3x, and DF=16
DE=4(2)+2, EF=3(2), and DF=16
DE=10, EF=6, and DF=16
Answer:
This is GP with the first term of 512 and common ratio of 1/2
<u>The formula for nth term is:</u>
<u>The number of teams after the 4th round:</u>
- a₄ = 512*(1/2)⁴ = 32 teams
<u>Number of rounds to determine the champion:</u>
- 1 = 512*(1/2)ⁿ
- 2⁰ = 2⁹*2⁻ⁿ
- 0 = 9 - n
- n = 9 rounds
Answer: The two options are equal after 20days of daily pay.
Step-by-step explanation:
If it cost $30 to rent a car for a day and $600 to rent the same car for a month(approximately 30days), renting daily is equal to the monthly rentage after 20 days ($30 for 20days which is $30×20 i.e $600)
According to the deduction above, the renting is cheaper daily only for the first 20 days after which the amount equals to the monthly rentage of the same car.
