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Gala2k [10]
3 years ago
7

The polynomial equation x^3+x^2=-9x-9 has complex roots +/-3i What is the other root? Use a graphing calculator and a system of

equations.
Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0
  For this case what you can do is factorize the <span>polynomial equation</span>, which would be left like follows
 x ^ 3 + x ^ 2 + 9x + 9 = 0
 (x + 1) (x ^ 2 + 9) = 0
 Resolving, we have that the missing root is
 x = -1
 Answer
 x=-1
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Jamya is making a rectangular blanket. The length of the blanket is 10inches greater than it's worth, W, in inches. Write the fu
natta225 [31]

Answer: (w² + 10)inches²

Step-by-step explanation:

Since the width of the rectangular blanket is given as w and the length of the blanket is 10inches greater than it's width, therefore the length will be:

= 10 + w.

Therefore,

length = 10 + w

width = w

Area = length × width

Area = (10 + w) × w

Area = 10w + w²

Therefore, the area of the blanket will be (w² + 10)inches².

3 0
2 years ago
The length of a rectangular piece of land is 60 yard more than two times its width. The perimeter is 540 yard. Find its dimensio
babunello [35]

Answer:

l=200 yard

w=70 yard

Step-by-step explanation:

let  width =w

length l=2w+60

then perimeter P=2(l+w)=2(2w+60+w)=540

3w+60=270

3 w=270-60=210

w=70

l=2*70+60=200

4 0
2 years ago
Find the volume of a cone with a base radius of 5 in. and a height of 12 in.
Varvara68 [4.7K]

Answer:

V = 314

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

r = 5

h = 12

Work:

V = πr²(h/3)

V = 3.14(5²)(12/3)

V = 3.14(25)(4)

V = 314

5 0
2 years ago
Read 2 more answers
you are planning a scavenger hunt for 20 campers. You plan to have 5 teams.one camper for each team will be recorder and the res
nikitadnepr [17]

Total number of campers = 20

Total number of teams = 5

⇒ Number of campers in each team = Total number of campers ÷ Total number of teams

⇒ Number of campers in each team = 20 ÷ 5

⇒ Number of campers in each team = 4

Number of recorders in each team = 1

⇒ Number of searchers in each team = Number of campers in each team - Number of recorders in each team

⇒ Number of searchers in each team = 4  - 1

⇒ Number of searchers in each team = 3

Hence, there will be 3 searchers in each team

7 0
3 years ago
Read 2 more answers
A sports writer hypothesized that Tiger Woods plays better on par 3 holes than on par 4 holes. He reviewed Woods' performance in
Varvara68 [4.7K]

e. The p-value is > 0.1, little or no support for the notion that Woods plays better on par 3 holes.

Step-by-step explanation:

Hypothesis by the sports writer

  • On the par 3 holes, Tiger Woods made a birdie in 20 out of 80 attempts.
  • On the par 4 holes, he made a birdie in 40 out of 200 attempts.

Null hypothesis: P 3  <= P 4

Alternative hypothesis: P 3  > P 4

Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the  proportion of birdies on par 3 holes (p 3 ) is sufficiently greater than the proportion of birdies on par  4 holes (p 4 )

  • Using sample data, we calculate the pooled sample proportion (p) and the standard error (SE). Using those measures, we  compute the z-score test statistic (z).

p = (p3 * n 3 + p4 * n4) / (n3 + n) = [(0.25 * 80) + (0.20 * 200)] / (80 + 200) = 50/280 = 0.214  

SE = sqrt{ p * ( 1 - p ) * [ (1/n3) + (1/n4) ] }  

SE = sqrt [ 0.214 * 0.786 * ( 1/80 + 1/200 ) ]

= sqrt[ 0.214 * 0.786 * 0.0175 }

= sqrt [0.0029548] = 0.0544  

z = (p3 - p4) / SE = (0.25 - 0.20)/0.0544 = 0.92

where p3 is the sample proportion of birdies on par 3,

p4 is the sample proportion of birdies on par 4,

n3 is the number of par 3 holes,

and n4 is the number of par 4 holes.

  • Since we have a one-tailed test, the P-value is the probability that the z-score is greater than 0.92. We use the Normal Distribution Calculator to find P(z > 0.92) = 0.18. Thus, the P-value = 0.18.

  • Since the P-value (0.18) is greater than 0.10, we have little support for the  notion that Woods plays better on par 3 holes. In short, we cannot reject the null hypothesis
3 0
3 years ago
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