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r-ruslan [8.4K]
3 years ago
13

Brandon had already read 6 books this year before joining a book club, and he plans to read 1 book every month now that he has j

oined. If Brandon has read 15 books so far, how many months has he been with his book club?
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0
15 - 6 = 9
So 9 months
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Can someone please help with this question of what the explicit rule is.
Lyrx [107]

Answer:

f(n)=-6n+36

Step-by-step explanation:

The sequence is arithmetic because it is going down/up by the same number each time.

It is going down by 6.

This tells us that the common difference is -6.

The first term is 30.

The following is the explicit form of an arithmetic sequence:

f(n)=f(1)+d(n-1)

where f(1) is the first term and d is the common difference.

So we have f(1)=30 and d=-6.

Plugging this information into our explicit formula:

f(n)=30+-6(n-1)

f(n)=30-6n+6

f(n)=30+6-6n

f(n)=36-6n

f(n)=-6n+36

Let's check it.

The first term is f(1)=30:

f(1)=-6(1)+36=-6+36=30 which is what the pattern reads for the first term.

The second term is f(2)=24:

f(1)=-6(2)+36=-12+36=24 which is what the pattern reads for the second term.

The third term is f(3)=18:

f(3)=-6(3)+36=-18+36=18 which is what the pattern reads for the third term.

The fourth term is f(4)=12:

f(4)=-6(4)+36=-24+36=12 which is what the pattern reads for the fourth term.

This rule certainly does generate the terms of our sequence as we have shown above.

The explicit form with no doubt is f(n)=-6n+36.

5 0
3 years ago
Write an expression for the calculation triple 3 and then add double 8
Anvisha [2.4K]
(3 x 3) + (8 x 2) = ?
Using the order of operations you do what is inside the parentheses first, so multiplying the numbers, and then you add the products together.
5 0
4 years ago
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Manny and Emma are both competing in a long jump competition at their school. Manny can jump four fifths of the distance that Em
dezoksy [38]
C 32 is the answer to your question
5 0
4 years ago
An open box is to be made from a six inch by six inch piece of material by cutting equal squares from the corners and turning up
Virty [35]

Answer:

8 inch³

Step-by-step explanation:

Side should be 2 inch

Volume = side³ = 2³ = 8 inch³

4 0
3 years ago
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Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply
vlada-n [284]
(- d + e)(4e + d)
-d*4e - d^2 + 4e^2 + de
-d^2 - 3de + 4e^2

That's the answer to the expansion. Without choices, there is not much else I can do.
6 0
3 years ago
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