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2 years ago

8 < -3x + 10greater than sign meaning greater than or equal to!

Mathematics

2 answers:

Ilia_Sergeevich [38]2 years ago

6 0

$8\leq-3x+10\qquad\text{add 3x to both sides}\\\\8+3x\leq10\qquad\text{subtract 8 from both sides}\\\\3x\leq2\qquad\text{divide both sides by 3}\\\\x\leq\dfrac{2}{3}$

goldfiish [28.3K]2 years ago

4 0

Answer:

2/3 >=x

Step-by-step explanation:

8 =< -3x + 10

subtract 10 from each side

8-10 <= -3x+10-10

-2 <=-3x

divide by -3 (remember to flip the inequality)

-2/-3 >= -3x/-3

2/3 >=x

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Answer: 2500 years

Step-by-step explanation:

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We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For $A_{0$ let's just assume that there are 100 original atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. h is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

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Now, solve. First, divide by 100.

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Take the log of everything

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Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

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Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

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More can be learned about proportions at brainly.com/question/14398287

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