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Nady [450]
3 years ago
13

if a sequence is defined recursively by f(0)=4 and f(n+1)= -3f(n+1)=-3f(n)+1 for n≥0, then f(3) is equal to? DESPERATELY NEED HE

LPPPP
Mathematics
1 answer:
muminat3 years ago
5 0

f(3) is equal to -101.

<u>Step-by-step explanation</u>:

  • The sequence is followed by f(0)=4
  • The given expression is f(n+1)= -3f(n)+1

Put n=0,

f(0+1)= -3f(0)+1

f(1)= -3(4)+1

f(1)= -12+1 = -11

Put n=1,

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

f(2)= -3(-11)+1

f(2)= 33+1 = 34

Put n=2,

f(2+1)= -3f(2)+1

f(3)= -3(34)+1

f(3)= -102+1

f(3)= -101

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In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal
77julia77 [94]

Votes received by Wayne is 112

<em><u>Solution:</u></em>

To find: votes received by Wayne

Let the vote received by Wayne be "x"

<em><u>Juan received 4 times as many votes as Wayne</u></em>

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x  ---- eqn 1

<em><u>Neal received twenty less votes than Juan</u></em>

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

<em><u>Kerry got half as many votes as Neal</u></em>

Kerry votes = half of neal votes

Kerry votes = \frac{4x - 20}{2}  ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112

Therefore votes received by Wayne is 112

4 0
3 years ago
Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.
Sauron [17]

Option B: $y=4$ is the value of y

Explanation:

It is given that "Two times x is 8 more than y". Writing it as expression, we have,

2x=8+y

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

x+2y=14

To find the value of y, let us solve the two equations using substitution method.

From the equation 2x=8+y , let us find the value of x.

x=\frac{8+y}{2}

x=\frac{8}{2} +\frac{y}{2}

x=4+\frac{y}{2}

Now, substituting x=4+\frac{y}{2} in the equation x+2y=14 , we get,

4+\frac{y}{2}+2y=14

      4+\frac{5y}{2} =14

            $\frac{5 y}{2}=10$

            5y=20

              $y=4$

Thus, the value of y is $y=4$

8 0
3 years ago
Need help with two questions please
balandron [24]

Answer:

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range of f(x) is -inf to +inf

Step-by-step explanation:

the cubic power doesnt affect the sign

3 0
3 years ago
Aaden has a points card for a movie theater.
Liula [17]

Answer:

20/2.5 =? (Answer is 8)

Step-by-step explanation:

Aaden needs 40 points.

He gets 20 at the start, just for signing up, so he needs only 20 now.

If he gets 2.5 points for each visit, after 8 days he will have been given 20 more points, allowing him to get a free movie ticket.

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7 0
2 years ago
A football coach wants to see how many laps his players can run in 15 minutes. During a non-mandatory meeting, the coach asks fo
mestny [16]

Answer:

Step-by-step explanation:

There are three reasons here why randomization is not being applied.

First, the coach is only observing football players attending the meeting.  This is not representative of the entire team.

Second, there is no selection process.  The coach isn't using a random generator or using a similar method.

Third, the players are volunteering for the test.  The results will be biased because of this.

6 0
3 years ago
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