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Ierofanga [76]
3 years ago
5

Identify the polynomial functions that has zeros at 1,-1 and 2.

Mathematics
1 answer:
frez [133]3 years ago
5 0

Answer:

y=x^{3} -2x^{2} -x+2

Step-by-step explanation:

You are given the roots 1, -1, and 2.

From there, you can combine all these factors into:

(x-1)(x+1)(x-2)

You know this because if you set these factors to 0, it will give you the roots 1, -1, and 2.

You can find the answer by multiplying all the factors and you get:

x^{3} -2x^{2} -x+2

Hope I helped :)

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If x varies inversely as y, and x=6 when y=72, find x when y=36
Hoochie [10]

Answer:

12

Step-by-step explanation:

x = k/y           Multiply each side by y

k = xy            Insert values

  = 6 × 72

  = 432

x = 432/y     Let y = 36

  = 432/36

x = 12

7 0
4 years ago
Express answer in exact form. Show all work for full credit.
Gennadij [26K]

Answer:

Area segment = 3/2 π - (9/4)√3 units²

Step-by-step explanation:

∵ The hexagon is regular, then it is formed by 6 equilateral Δ

∵ Area segment = area sector - area Δ

∵ Area sector = (Ф/360) × πr²

∵ Ф = 60° ⇒ central angle of the sector

∵ r = 3

∴ Area sector = (60/360) × (3)² × π = 3/2 π

∵ Area equilateral Δ = 1/4 s²√3

∵ The length of the side of the Δ = 3

∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3

∴ Area segment = 3/2 π - (9/4)√3 units²

4 0
4 years ago
when a number is subtracted from 6, the result is two times five less than the number. find the number?​
Kryger [21]

Answer:

let number=x

According to given condition

6-x=x-2(5)

6-x=x-10

6+10=x+x

16=2x

16/2=x

8=x

5 0
3 years ago
Read 2 more answers
2(1/5m-2/5)+3/5 Combine like terms to create and equivalent expression, please help :).
11111nata11111 [884]

Answer:

Step-by-step explanation:

First, carry out the indicated multiplication.  We get:

2m/5 - 4/5 + 3/5, which condenses to

                        2m - 1

2m/5- 1/5 or ---------------

                              5

3 0
3 years ago
Suppose human weights are normally distributed with mean 175 and standard deviation 36 pounds. A helicopter is evacuating people
Anuta_ua [19.1K]

Answer:

0.9812

Step-by-step explanation:

Given that human weights are normally distributed with mean 175 and standard deviation 36 pounds

For a sample of 9 people std error of sample would be

\frac{36}{\sqrt{9} } =12

Thus we find that sample mean is N(175, 12)

The plane will lift safely if sample average <200 pounds

i.e. Probability that it can safely lift off (i.e., the average weight of a person in the helicopter is less than 200)

= P(\bar x

~0.981

8 0
3 years ago
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