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Gemiola [76]
3 years ago
8

A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)?

Mathematics
2 answers:
Lilit [14]3 years ago
8 0

Answer:

31

Step-by-step explanation:

From the expression

F(n + 1) = F(n) -3

>> f(n+1)-f(n) = -3

f(n) = f(n+1) + 3

f(4)- f(3) = -3

f(4) + 3 = f(3)

22 + 3 = 25 = f(3)

Similarly ; f(2) = f(3) + 3 = 25 + 3 = 28

f(1)= f(2) + 3 = 28 + 3 = 31

RUDIKE [14]3 years ago
7 0

Answer:

Answer:31

Step-by-step explanation:

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pickupchik [31]
70 × 20%
70 × .20 = .14
so .70 - .14 = $.56
6 0
3 years ago
Find the area of the shape below
maks197457 [2]

Answer:

204 ft^2

Step-by-step explanation:

<u>triangle on the left</u>:

A= l x w x 1/2

A = 12 x 5 x 1/2

A = 30 ft^2

<u>triangle on the right</u>:

Same thing

A = 30 ft^2

<u>square in the middle</u>:

A = l x w

A = 12 x 12

A = 144 ft^2

<u>Add them up</u>:

30 + 30 + 144 = 204 ft^2

3 0
3 years ago
ANSWER THE QUESTIONS PLEASE IT IS ON BEARING
artcher [175]

9514 1404 393

Answer:

  (i) x° = 70°, y° = 20°

  (ii) ∠BAC ≈ 50.2°

  (iii) 120

  (iv) 300

Step-by-step explanation:

(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.

  x = 70

The angle marked y° is the supplement to the one marked 160°.

  y = 20

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(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...

  tan(∠BAC) = BC/BA = 120/100 = 1.2

  ∠BAC = arctan(1.2) ≈ 50.2°

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(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.

  bearing of C = 70° +50.2° = 120.2°

The three-digit bearing of C from A is 120.

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(iv) The bearing of A from C is 180 added to the bearing of C from A:

  120 +180 = 300

The three-digit bearing of A from C is 300.

8 0
3 years ago
What does 18tt mean?
attashe74 [19]

Answer:

Definition of 18T - 18T stands for Tatum Airport.

Step-by-step explanation:

4 0
3 years ago
6k²+16k=0<br> x²-5x= 0<br> ANSWer these noeww!
pentagon [3]

Answer:

1) k = (-8)/5

2) x = 5

Step-by-step explanation:

1)

6 {k}^{2}  + 16k = 0

=  > 2k(3k + 8) = 0

=  > 3k + 8 =  \frac{0}{2k}  = 0

=  > 3k =  - 8

=  > k =  \frac{ - 8}{3}

2)

{x}^{2}   - 5x = 0

=  > x(x - 5) = 0

=  > x - 5 =  \frac{0}{x}  = 0

=  > x = 5

8 0
3 years ago
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