<h3>
Answer: 15</h3>
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Explanation:
n = number of new flash cards practiced
2n = number of old flash cards practiced
The 2n is due to the fact that the number of old flash cards is double that of the new ones (eg: 10 is twice that of 5).
The two expressions must add to 45.
new + old = total
n + 2n = 45
3n = 45
n = 45/3
n = 15
2n = 2*15 = 30
Noah practiced 15 new flash cards and 30 old flashcards which is a total of 15+30 = 45. This confirms our answer.
Also note that the ratio of new to old is 15:30 which reduces to 1:2, then we can multiply both sides by 5 to get 5:10. This effectively shows that 15:30 and 5:10 are the same equivalent ratio (just in different forms). This helps confirm our answer.
Answer:
-1701
Step-by-step explanation:
The recursion relation tells you each term of the sequence is -3 times the previous term. Then the first 6 terms are ...
7, -21, 63, -189, 567, -1701
The value of f(6) is -1701.
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<em>Additional comment</em>
The explicit formula for a geometric sequence with first term 7 and common ratio -3 is ...
f(n) = 7×(-3)^(n-1)
Then f(6) is ...
f(6) = 7×(-3)^5 = 7×(-243) = -1701
Don't really need to post the options to know what the expression(s) should look like.
"Sum of" tells you its addition and because it's addition the order of the two terms (the 3 and the N) don't matter.
Your correct expressions are:
3 + n
or
n + 3
Answer:
slope = 1/2
Step-by-step explanation:
Answer:
There are only 1
Pairs of integers satisfying a÷b = -2
Step-by-step explanation:
