Which system of inequalities is represented on this graph? SOME ONE PLEASE HELP!!
2 answers:
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Answer:
Step-by-step explanation:
Triangle DEF is similar to triangle HGF.
Therefore the corresponding sides are proportional.
We can write the following equations for the corresponding sides.
This implies that,
This gives us,
We cross multiply to get,
We divide through by 5 to get,
We multiply to get,
Grouping like terms gives,
We simplify to obtain,
The correct answer is C
1. Since the sales of 8-track players are decreasing by 5.1% per year, we can say that the sales after a year are 94.9% of the sales of the previous year. For succeeding years, we just multiply the percentage a number of times corresponding to the number of years. Forming an exponential function for this we'll get:
where x is the number of years and f(x) is the number of sales.
To find the number of sales in 2013 we just plug in 3 for the value of x:
ANSWER: Emporium sold 333 8-track players in 2013.
2. The half life of Neptunium-229 is modeled by
where A is the final amount and t is the time that has passed in minutes. This just means that the original amount will be multiplied by one half for every 4 minutes.
30 minutes has passed from 7:45 am to 8:15 am. Therefore, we just substitute 30 as the value of t to find the amount of Neptunium remaining by 8:15.
ANSWER: 2.76 grams of Neptunium-229 are remaining at 8:15 am.
3. To find how much annual interest is collected over x years, we just do the same modelling as the previous items. Knowing that the initial amount that Mr. Canonaco deposited into his bank account and that the <span>Dewey, Cheetum, & Howe Credit Union collects 6.25% annual interest per year, the equation will be as follows:
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where x is the number of years and f(x) is the annual interest collected.
To find the number of sales in 2013 we just plug in 3 for the value of x:
ANSWER: Emporium sold 333 8-track players in 2013.
2. The half life of Neptunium-229 is modeled by
30 minutes has passed from 7:45 am to 8:15 am. Therefore, we just substitute 30 as the value of t to find the amount of Neptunium remaining by 8:15.
ANSWER: 2.76 grams of Neptunium-229 are remaining at 8:15 am.
3. To find how much annual interest is collected over x years, we just do the same modelling as the previous items. Knowing that the initial amount that Mr. Canonaco deposited into his bank account and that the <span>Dewey, Cheetum, & Howe Credit Union collects 6.25% annual interest per year, the equation will be as follows:
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