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Zshotgun33
29.09.2019 •
Mathematics
Lena purchased a prepaid phone card for $20. long distance calls cost 21 cents a minute using this card, lena used her card only once to make a long distance
call. if the remaining credit on her card is $12.23, how many minutes did her call last?
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Ответ:
37 minutes
Step-by-step explanation:
Lena has 20 dollars. 20 - 12.23 = 7.77
Lena has $7.77 dollars left.
We divide this by .21 to see how many minutes her call was.
7.77 ÷ .21 = 37
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Ответ:
Answer= B
Step-by-step explanation:
For the roots to be right, you will have answer zero if you sub them for x.
A.![x^{3} -9x^{2} -22x+24](/tpl/images/0845/6424/f6863.png)
(we first try to sub -6 for x in the polynomial)
=![-6^{3} -9(-6^{2})-22(-6)+24](/tpl/images/0845/6424/9b963.png)
= -384
(this is not equal to zero (-384≠0) so the first polynomial is wrong)
B.![x^{3} +x^{2} -26x+24](/tpl/images/0845/6424/f4e9e.png)
(we do the same as above but in this polynomial)
=![-6^{3}+(-6^{2} )-26(-6)+24](/tpl/images/0845/6424/72f17.png)
=0
(this is equal to zero but that does not mean it is right because all the roots need to equal zero when you sub them. So now we try 1 and 4)
For (x=1):
=![1^{3} +1^{2}-26(1)+24](/tpl/images/0845/6424/6cfed.png)
=0
(because this is zero we will complete and try the root 4)
For (x=4):
=![4^{3} +4^{2} -26(4)+24](/tpl/images/0845/6424/44835.png)
=0
(this is means that the answer is B because all the roots are equal to zero when you sub them for x)
EXTRA INFORMATION:
The answer is not C because it has different answer when you sub 4 for x - note that you need to try all roots, as 1 and -6 will equal to zero in this polynomial but that does not mean it is the right answer.The answer is not D because it has different answer when you sub all roots - be aware of the signs because the real roots for this polynomial are -1 , -4 and 6 that means it will make you get a wrong answer by subbing the same roots but different signs, so make sure you watch out the negatives.