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joja [24]
3 years ago
9

Write a recursive formula for the sequence 9, 6, 3, 0, … Then find the next term.

Mathematics
1 answer:
Dmitry [639]3 years ago
4 0

Answer:

  • f[1] = 9; f[n] = f[n-1] -3
  • -3

Step-by-step explanation:

The first term is 9, so f[1] = 9.

Each term is 3 less than the one before, so f[n] = f[n-1] -3.

Three less than the last term shown is ...

  0 -3 = -3

__

The recursive formula is ...

  • f[1] = 9
  • f[n] = f[n-1] -3

The next term is -3.

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I don’t know how to set this up
kodGreya [7K]

Answer:

9

Step-by-step explanation:

Set it up as the following -

3:8 = x:24.

Now cross multiply - 3 * 24 = 8x

72 = 8x

Now divide both sides by 8.

9 = x

4 0
3 years ago
Use the method of completing the square to write the equation of the given parabola in this form:
siniylev [52]
Formula is y = a(x-h)^2 + k

Where h is 1 and k is 1

f (x) = a(x-1)^2 + 1

-3 = a(0-1)^2 + 1

-3 = a(-1)^2 + 1

-3 = a(1) + 1

-3 - 1 = a

-4 = a

a = -4

A must be equal to -4

y = -4(x-1)^2 + 1

0 = -4(x-1)^2 + 1

4(x^2 - 2x + 1) - 1 = 0

4x^2 - 8x + 4 - 1 = 0

4x^2 - 8x + 3 = 0

4x^2 - 8x = -3

Divide fpr 4 each term of the equation....x^2 - 2x = -3/4

We must factor the perfect square ax^2 + bx + c which we don't have. We must follow the rule (b/2)^2 where b is -2....(-2/2)^2 = (-1)^2 = 1 and we add up that to both sides

x^2 - 2x + 1 = -3/4 + 1

x^2 - 2x + 1 = 1/4

(x-1)^2 = 1/4

square root both sides x-1 = (+/-) 1/2

x1 = +1/2 + 1 = 3/2

x2 = -1/2 + 1 = 1/2

x-intercepts are 1/2 and 3/2, in form (3/2,0); (1/2,0)
6 0
3 years ago
Read 2 more answers
Convert the angle 45°29'13" to decimal degrees and round to the nearest hundredth of a degree
Bad White [126]
Add this. 45+ \frac{29}{60}+ \frac{13}{3600}
4 0
3 years ago
Read 2 more answers
How do you solve this?
Law Incorporation [45]
Find the soluiton

2x+2y=16
3x-y=4

x+y=8
<u>3x-y=4+</u>
4x=12
x=3
3(3)-y=4
9-y=4
y=5
(3,5)
test them to see if get true statment
obviously the first equatons of 1,2,4 work
1 doesn't work
2, works
4. doesn't work

2 is the same as the first except both euations are just doubled

answer is 2
6 0
3 years ago
Find f(3) if f(x)=-3x-6
Nikitich [7]

Answer:

-3(3)-6=-15

Step-by-step explanation:

6 0
3 years ago
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