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ddd [48]
3 years ago
9

Write the recursive rule and an explicit rule for the geometric sequence 9,27,81,243

Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer:

Recursive

a(1) = 9 ; a(n+1) = 3 * a(n)

Explicit

a(n) = 9 * 3^(n-1)


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If −1 is a zero of the polynomial p(x)=ax^3−x^2+x+4, find the value of a.
vitfil [10]

Answer:

a = 2

Step-by-step explanation:

given x = - 1 is a zero then f(- 1) = 0 , that is

a(- 1)³ - (- 1)² - 1 + 4 = 0

- a - 1 - 1 + 4 = 0

- a + 2 = 0 ( subtract 2 from both sides )

- a = - 2 ( multiply both sides by - 1 )

a = 2

8 0
2 years ago
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likoan [24]
Sin230=sin(180+50)=sin180cos50+cos180sin50=-sin50 answer 1
8 0
3 years ago
A particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls invol
Phoenix [80]

Answer:

0.1091 or 10.91%

Step-by-step explanation:    

We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.  

We will use Bernoulli's trials to solve our given problem.

P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}

P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}

P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}

P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)

P(X=6)=38760\cdot (0.000064)(0.04398046511104)

P(X=6)=0.1090997009730

P(X=6)\approx 0.1091\\

Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.

4 0
3 years ago
How do you solve for x?<br> 6x+7=6
skelet666 [1.2K]
<span>6x+7=6

Subtract both sides by 7 
</span>6x+7-7=6-7

6x=-1

Divide both sides by 6 to isolate x 
6x/6=-1/6

x=-1/6 
5 0
3 years ago
Read 2 more answers
Someone please help me as fast as possible just ignore the graph thing
fenix001 [56]

14 \div 50 = x \div 7500
Cross multiply
50x = 105000
x = 2100

2100 trout.
8 0
3 years ago
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