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MariettaO [177]
2 years ago
14

What equivalent expressions are related to

Mathematics
1 answer:
Finger [1]2 years ago
7 0

Answer:

25z + 35

Step-by-step explanation:

5 times 5z is 25z plus 5 times 7 is 35..

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Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
3 years ago
Find the two numbers that have a<br> difference of 3 and a sum of 27.
polet [3.4K]
12 and 15 

15-12=3
15+12=27
5 0
3 years ago
Read 2 more answers
What percent of 30 is 27
shutvik [7]

Answer:

90%

Step-by-step explanation:

convert the fraction know as a ratio to get 90%

3 0
3 years ago
Read 2 more answers
Complete the transformation below:
Verdich [7]

Answer:

a c

Step-by-step explanation:

4 0
2 years ago
23 ones x 2 tens= answer
shutvik [7]
23 and 2 tens is 23 and 20 which equals 53

53
5 0
3 years ago
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