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Alinara [238K]
3 years ago
15

Write a recursive formula for the following arithmetic sequence. 8, 5, 2, −1,

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

a_{n} = a_{n-1} - 3

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found from the previous term by adding the common difference to it.

Here d = 5 - 8 = - 3, thus

a_{n} = a_{n-1} - 3 with a₁ = 8 ← recursive formula

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Please help fast!! Katrina has $3.60 worth of nickels and dimes. She has 46 coins in total. How many nickels and dimes does she
Igoryamba

Answer:

20 nickels and 26 dimes

Step-by-step explanation:

  • She has $3.60 in nickels and dimes
  • a nickel is $0.05 and a dime is $0.10
  • let n be the number of nickels and d be the number of dimes
  • thus the first equation is 3.6 = 0.05n +0.1d
  • If she has 46 coins then n + d = 46
  • then n = 46 - d
  • sub n = 46 - d into 3.6 = 0.05n +0.1d
  • 3.6 = 0.05(46 - d) + 0.1d
  • 3.6 = 2.3 -0.05d+0.1d
  • 1.3 = 0.05d
  • 26 = d
  • sub d = 26 into n+d=46
  • n+26=46
  • n=20
  • Check by subbing n=20 and d=26 into 0.05n +0.1d
  • 0.05(20) +0.1(26)
  • 1+2.6 = 3.6
6 0
3 years ago
The bar graph below shows the attendance at school dances. The ticket per price for each dance is $5 per student. Which two danc
topjm [15]

It's B because all the students that attended added together is 320 and 37.5 of 320 is 120

6 0
3 years ago
Graph the function on the coordinate plane.
Simora [160]

Answer:

The graph is attached.

Step-by-step explanation:

The graphs:

f(x) = x + 1 where x < 0

f(x) = 2 where 0 ≤ x ≤ 1

f(x) = x where x > 1

5 0
2 years ago
What is the difference between the number of solutions for a two-step equation and for a two-step inequality
Sophie [7]

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

7 0
2 years ago
I was just wondering this is one of my questions in my math books and i needed help
just olya [345]

Answer:

B is true

Step-by-step explanation:

5 is a coefficient of x^0

7 0
3 years ago
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